************** PARI *****************
Host h00096bd05fc4.ne.client2.attbi.com. (65.96.162.217)
Time: Thu Apr 22 23:19:29 2004
Input: factor(12345)
Output:
[3 1]
[5 1]
[823 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host AC874011.ipt.aol.com. (172.135.64.17)
Time: Fri Apr 23 05:18:16 2004
Input: xxy
Output: xxy
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host AC874011.ipt.aol.com. (172.135.64.17)
Time: Fri Apr 23 05:19:27 2004
Input: 3+3
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 194-185-220-249.f4.ngi.it. (194.185.220.249)
Time: Sat Apr 24 17:32:36 2004
Input: binary(259)
Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:01:16 2004
Input: factor(x^2+4*x+4)
Output:
[x + 2 2]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:02:12 2004
Input: 1+1
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:02:42 2004
Input: a=b
a+b=2
Output: b
b + 2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:03:16 2004
Input: a=b
a+b=2
b=2
Output: b
b + 2
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ACC6B950.ipt.aol.com. (172.198.185.80)
Time: Sun Apr 25 02:03:31 2004
Input: a=b
a+b=2
b
Output: b
b + 2
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:44:43 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:07 2004
Input: x^2-x+2=0;
Output:
Errors (if any) and Timing Info: *** unexpected character: x^2-x+2=0;
^---
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:18 2004
Input: solve x^2-x+2=0;
Output:
Errors (if any) and Timing Info: *** unexpected character: solvex^2-x+2=0;
^---
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:31 2004
Input: x*x-x+2=0;
Output:
Errors (if any) and Timing Info: *** unexpected character: x*x-x+2=0;
^---
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:42 2004
Input: x+2=0;
Output:
Errors (if any) and Timing Info: *** unexpected character: x+2=0;
^---
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:45:47 2004
Input: x+2=0
Output:
Errors (if any) and Timing Info: *** unexpected character: x+2=0
^--
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:47:06 2004
Input: x+3/4>4
Output:
Errors (if any) and Timing Info: *** incorrect type in comparison.
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p508B651E.dip.t-dialin.net. (80.139.101.30)
Time: Sun Apr 25 07:47:32 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:09:17 2004
Input: Mod(1409141413000201190413^25042003,2000000002864822776563)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.001s
user 0m20.930s
sys 0m0.070s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:10:11 2004
Input: Mod(1409141413000201190413^25042003,2000000002864822776563)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.005s
user 0m20.960s
sys 0m0.040s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:10:47 2004
Input: Mod(1409141413^25042003,2000000002864822776563)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.993s
user 0m20.960s
sys 0m0.040s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:11:28 2004
Input: factor(2000000002864822776563)
Output:
[42367293299 1]
[47206225537 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.107s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:14:33 2004
Input: Bezout(25042003,42367293298*47206225536)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Bezout(25042003,4236
^--------------------
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:16:45 2004
Input: Bezout(25042003,2000000002775249257728)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Bezout(25042003,2000
^--------------------
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:16:59 2004
Input: Bezout(25042003,2000000002775249257728)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Bezout(25042003,2000
^--------------------
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:17:15 2004
Input: bezout(25042003,2000000002775249257728)
Output: [135519591013113317083, -1696841, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:18:46 2004
Input: Mod(135519591013113317083*25042003,423672932998*472062255376)
Output: Mod(81999740912525704733185, 200000000292800813297248)
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:20:41 2004
Input: bezout(25042003,200000000292800813297248)
Output: [3559898947800284606429, -445735, 7]
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:22:51 2004
Input: bezout(25042003,47206225536*42367293298)
Output: [135519591013113317083, -1696841, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:23:53 2004
Input: mod(25042003*135519591013113317083,47206225536*42367293298)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(25042003*1355195
^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:24:05 2004
Input: Mod(25042003*135519591013113317083,47206225536*42367293298)
Output: Mod(1, 2000000002775249257728)
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:24:57 2004
Input: mod(82^-13,91)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(82^-13,91)
^--------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:25:17 2004
Input: mod(82^-13,91)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(82^-13,91)
^--------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.057s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:25:45 2004
Input: mod(82^(-13),91)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(82^(-13),91)
^----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 81-208-36-87.fastres.net. (81.208.36.87)
Time: Sun Apr 25 12:25:53 2004
Input: Mod(605233533198702885420^135519591013113317083,47206225537*42367293299)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.209s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:27:34 2004
Input: mod(0,0000000000082,91)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(0,0000000000082,
^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host adsl-ull-32-196.41-151.net24.it. (151.41.196.32)
Time: Sun Apr 25 12:27:40 2004
Input: mod(0.0000000000082,91)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(0.0000000000082,
^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 207.141-200-80.adsl.skynet.be. (80.200.141.207)
Time: Sun Apr 25 16:35:24 2004
Input: sin(x)
Output: x - 1/6*x^3 + 1/120*x^5 - 1/5040*x^7 + 1/362880*x^9 - 1/39916800*x^11 + 1/6227020800*x^13 - 1/1307674368000*x^15 + O(x^16)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (219.137.207.88)
Time: Mon Apr 26 04:09:14 2004
Input: ?help
Output:
Errors (if any) and Timing Info: *** help: default.
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:47:03 2004
Input: pi
Output: pi
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:47:32 2004
Input: PI
Output: PI
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:47:49 2004
Input: 1+1
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:48:10 2004
Input: 0+0
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pc422b.math.univ-montp2.fr. (162.38.126.74)
Time: Mon Apr 26 09:48:23 2004
Input: DET
Output: DET
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pD9FF29E5.dip.t-dialin.net. (217.255.41.229)
Time: Mon Apr 26 09:51:03 2004
Input: 1+2
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 12:17:54 2004
Input: Mod[ (x^341-1)-(x-1)^341 , x^2 -1 ]
Output:
Errors (if any) and Timing Info: *** expected character: '(' instead of: Mod[(x^341-1)-(x-1)^341
^--------------------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 12:18:05 2004
Input: Mod( (x^341-1)-(x-1)^341 , x^2 -1 )
Output: Mod(-2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115775*x + 2239744742177804210557442280568444278121645497234649534899989100963791871180160945380877493271607115775, x^2 - 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:24:40 2004
Input: Mod( 3x^2 + 1 , x^2+3)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: Mod(3x^2+1,x^2+3)
^------------
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:24:58 2004
Input: Mod( 3*x^2 + 1 , x^2+3)
Output: Mod(-8, x^2 + 3)
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:30:34 2004
Input: Mod( 31* x^ 330
- 124 *x^ 319
+ 11 * x^ 310
+ 62* x^ 308
- 93* x^ 297
+ 93* x^ 286
- 55* x^ 279
- 62* x^ 275
+ 124* x^ 264
- 31* x^ 253
+ 165* x^ 248
+ 155* x^ 242
+ 310* x^ 220
- 330* x^ 217
- 62* x^ 209
+ 248* x^ 198
- 124* x^ 187
+ 121* x^ 186
+ 186* x^ 176
- 186* x^ 165
- 121* x^ 155
+ 124* x^ 154
- 248* x^ 143
+ 62* x^ 132
+ 330* x^ 124
- 310* x^ 121
- 155* x^ 99
- 165* x^ 93
+ 31* x^ 88
- 124* x^ 77
+ 62* x^ 66
+ 55* x^ 62
- 93* x^ 55
+ 93* x^ 44
- 62* x^ 33
- 11* x^ 31
+ 124* x^ 22
- 31* x^ 11, x^2 -1 )
Output: -124*x^319
11*x^310
62*x^308
-93*x^297
93*x^286
-55*x^279
-62*x^275
124*x^264
-31*x^253
165*x^248
155*x^242
310*x^220
-330*x^217
-62*x^209
248*x^198
-124*x^187
121*x^186
186*x^176
-186*x^165
-121*x^155
124*x^154
-248*x^143
62*x^132
330*x^124
-310*x^121
-155*x^99
-165*x^93
31*x^88
-124*x^77
62*x^66
55*x^62
-93*x^55
93*x^44
-62*x^33
-11*x^31
124*x^22
Errors (if any) and Timing Info: *** expected character: ',' instead of: Mod(31*x^330
^
*** unused characters: -31*x^11,x^2-1)
^-------
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:31:50 2004
Input: Mod(
31* x^ 330
- 124* x^ 319
+ 11* x^ 310
+ 62* x^ 308
- 93* x^ 297
+ 93* x^ 286
- 55* x^ 279
- 62* x^ 275
+ 124* x^ 264
- 31* x^ 253
+ 165* x^ 248
+ 155* x^ 242
+ 310* x^ 220
- 330* x^ 217
- 62* x^ 209
+ 248* x^ 198
- 124* x^ 187
+ 121* x^ 186
+ 186* x^ 176
- 186* x^ 165
- 121* x^ 155
+ 124* x^ 154
- 248* x^ 143
+ 62* x^ 132
+ 330* x^ 124
- 310* x^ 121
- 155* x^ 99
- 165* x^ 93
+ 31* x^ 88
- 124* x^ 77
+ 62* x^ 66
+ 55* x^ 62
- 93* x^ 55
+ 93* x^ 44
- 62* x^ 33
- 11* x^ 31
+ 124* x^ 22
- 31* x^ 11, x^2 -1 )
Output: 31*x^330
-124*x^319
11*x^310
62*x^308
-93*x^297
93*x^286
-55*x^279
-62*x^275
124*x^264
-31*x^253
165*x^248
155*x^242
310*x^220
-330*x^217
-62*x^209
248*x^198
-124*x^187
121*x^186
186*x^176
-186*x^165
-121*x^155
124*x^154
-248*x^143
62*x^132
330*x^124
-310*x^121
-155*x^99
-165*x^93
31*x^88
-124*x^77
62*x^66
55*x^62
-93*x^55
93*x^44
-62*x^33
-11*x^31
124*x^22
Errors (if any) and Timing Info: *** unexpected character: Mod(
^
*** unused characters: -31*x^11,x^2-1)
^-------
Timing:
real 0m0.217s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:33:12 2004
Input: Mod( 31* x^ 330 - 124* x^ 319 + 11* x^ 310 + 62* x^ 308 - 93* x^ 297 + 93* x^ 286 - 55* x^ 279 - 62* x^ 275 + 124* x^ 264 - 31* x^ 253 + 165* x^ 248 + 155* x^ 242 + 310* x^ 220 - 330* x^ 217 - 62* x^ 209 + 248* x^ 198 - 124* x^ 187 + 121* x^ 186 + 186* x^ 176 - 186* x^ 165 - 121* x^ 155 + 124* x^ 154 - 248* x^ 143 + 62* x^ 132 + 330* x^ 124 - 310* x^ 121 - 155* x^ 99 - 165* x^ 93 + 31* x^ 88 - 124* x^ 77 + 62* x^ 66 + 55* x^ 62 - 93* x^ 55 + 93* x^ 44 - 62* x^ 33 - 11* x^ 31 + 124* x^ 22 - 31* x^ 11, x^2 -1 )
Output: Mod(-2387*x + 2387, x^2 - 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.110s
user 0m0.040s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (209.202.87.27)
Time: Mon Apr 26 14:48:52 2004
Input: Mod( (x^9-1)-(x-1)^9 , x^3 -1 )
Output: Mod(-81*x^2 + 81*x, x^3 - 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.260s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host roam243-16.fas.harvard.edu. (140.247.243.16)
Time: Mon Apr 26 16:24:33 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:02 2004
Input: factorint(458746323578952486566655)
Output:
[3 1]
[5 1]
[23 1]
[12979 1]
[370679 1]
[276384883739 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:23 2004
Input: factorint(458746323578952486566655)
Output:
[3 1]
[5 1]
[23 1]
[12979 1]
[370679 1]
[276384883739 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:34 2004
Input: factorint(45874632357895248656665512547895523641454)
Output:
[2 1]
[3 1]
[17 1]
[83 1]
[5418690332848482005275869660748349119 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:45 2004
Input: factorint(458746323578952486566655125478955236414541145222551)
Output:
[10663979 1]
[34337941031 1]
[1252792270385649977362480000690099 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.553s
user 0m0.520s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 06:56:52 2004
Input: factorint(458746323578952486566655125478955236414541145222551)
Output:
[10663979 1]
[34337941031 1]
[1252792270385649977362480000690099 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.562s
user 0m0.540s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (194.51.19.22)
Time: Tue Apr 27 07:04:41 2004
Input: plot(x=-3.14,3.14,sin(x),-1,1)
Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.
************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:10:55 2004
Input: binary(259)
Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:11:08 2004
Input: factorial(259)
Output: 1.473152254167757398122114606 E514
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:11:17 2004
Input: cube(259)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: cube(259)
^---------
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host251-196.pool62211.interbusiness.it. (62.211.196.251)
Time: Tue Apr 27 10:11:33 2004
Input: treat(259)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: treat(259)
^----------
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:33:26 2004
Input: Isprimitive(G);
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: Isprimitive(G);
^-
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:33:38 2004
Input: a=0
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:33:48 2004
Input: a=0;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 10:34:02 2004
Input: val a=0;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 213-140-17-103.fastres.net. (213.140.17.103)
Time: Tue Apr 27 12:17:50 2004
Input: factor(2000000002864822776563)
Output:
[42367293299 1]
[47206225537 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.105s
user 0m0.050s
sys 0m0.040s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:54:59 2004
Input: binary(259)
Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:55:33 2004
Input: gcd(12,234)
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:56:04 2004
Input: bezout(12,234)
Output: [-19, 1, 6]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:56:54 2004
Input: Mod(34^1265,333)
Output: Mod(238, 333)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:57:42 2004
Input: factor(891106666666677777777777700)
Output:
[2 2]
[5 2]
[107 1]
[7103 1]
[13297 1]
[881760077127421 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:58:12 2004
Input: isprime(891106666666677777777777700)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:58:32 2004
Input: nextprime(891106666666677777777777700)
Output: 891106666666677777777777761
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:59:11 2004
Input: prime(102)
Output: 557
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:59:20 2004
Input: prime(100)
Output: 541
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host218-49.pool80181.interbusiness.it. (80.181.49.218)
Time: Tue Apr 27 12:59:39 2004
Input: prime(53)
Output: 241
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host proxy6-m.huji.ac.il. (128.139.226.36)
Time: Tue Apr 27 13:34:42 2004
Input: P := PolynomialRing(RationalField(), 4, "grevlex");
Output:
Errors (if any) and Timing Info: *** unused characters: P:=PolynomialR
^--------------------
Timing:
real 0m0.052s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 213-0-193-59.dialup.nuria.telefonica-data.net. (213.0.193.59)
Time: Tue Apr 27 14:33:37 2004
Input: //i)
GF8:=FiniteField(8);
C3 := HammingCode(GF8, 2);
C3;
//ii)
IsPerfect(C3);
//true
//iii)
G:=GeneratorMatrix(C3);
G;
//[ 1 0 0 0 0 0 0 1 alpha]
//[ 0 1 0 0 0 0 0 alpha alpha^6]
//[ 0 0 1 0 0 0 0 alpha^6 alpha^3]
//[ 0 0 0 1 0 0 0 alpha^3 alpha^3]
//[ 0 0 0 0 1 0 0 alpha^3 alpha^6]
//[ 0 0 0 0 0 1 0 alpha^6 alpha]
//[ 0 0 0 0 0 0 1 alpha 1]
H:=ParityCheckMatrix(C3);
H;
//[ 1 0 1 alpha alpha^6 alpha^3 alpha^3 alpha^6 alpha]
//[ 0 1 alpha alpha^6 alpha^3 alpha^3 alpha^6 alpha 1]
//iv) Hem de codificar el missatge (alpha,0,0,alpha,alpha^2,alpha^5,alpha)
V7:=VectorSpace(FiniteField(8),7);
M:=V7![alpha,0,0,alpha,alpha^2,alpha^5,alpha];
MC:=M*G; //CM => Missatge Codificat
MC;
//( alpha 0 0 alpha alpha^2 alpha^5 alpha 1 alpha^5)
//v) Hem de decodificar el missatge (alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4)
print "apartat5";
//v) Hem de decodificar el missatge (alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4)
//Directament amb una comanda de MAGMA:
//v := C ! [alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4];
V9:=VectorSpace(FiniteField(8),9);
v:=V9![alpha,0,0,alpha^2,alpha^2,alpha^5,alpha,alpha^6,alpha^4];
bool, w := Decode ( C3,v);
bool;
w;
NumberOfWords(C3, 8);
Output:
Errors (if any) and Timing Info: *** unexpected character: //i)
^----
*** unexpected character: GF8:=FiniteField(8);
^-----------------
*** unexpected character: C3:=HammingCode(GF8,2);
^--------------------
*** unexpected character: //ii)
^-----
*** expected character: '=' instead of: IsPerfect(C3);
^-
*** unexpected character: //true
^------
*** unexpected character: //iii)
^------
*** unexpected character: G:=GeneratorMatrix(C3)
^--------------------
*** unexpected character: //[10000001alpha]
^-----------------
*** unexpected character: //[0100000alphaalpha
^--------------------
*** unexpected character: //[0010000alpha^6alp
^--------------------
*** unexpected character: //[0001000alpha^3alp
^--------------------
*** unexpected character: //[0000100alpha^3alp
^--------------------
*** unexpected character: //[0000010alpha^6alp
^--------------------
*** unexpected character: //[0000001alpha1]
^-----------------
*** unexpected character: H:=ParityCheckMatrix(C
^--------------------
*** unexpected character: //[101alphaalpha^6al
^--------------------
*** unexpected character: //[01alphaalpha^6alp
^--------------------
*** unexpected character: //iv)Hemdecodificare
^--------------------
*** unexpected character: V7:=VectorSpace(FiniteF
^--------------------
*** unexpected character: M:=V7![alpha,0,0,alpha
^--------------------
*** unexpected character: MC:=M*G;//CM=>MissatgeC
^--------------------
*** unexpected character: //(alpha00alphaalpha
^--------------------
*** unexpected character: //v)Hemdedecodificar
^--------------------
*** unused characters: print"apartat5";
^-----------
*** unexpected character: //v)Hemdedecodificar
^--------------------
*** unexpected character: //Directamentambunac
^--------------------
*** unexpected character: //v:=C![alpha,0,0,al
^--------------------
*** unexpected character: V9:=VectorSpace(FiniteF
^--------------------
*** unexpected character: v:=V9![alpha,0,0,alpha
^--------------------
*** unused characters: bool,w:=Decode(C3,v);
^-----------------
*** unknown function or error in formal parameters: NumberOfWords(C3,8);
^--------------------
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ppp-62-11-10-93.dialup.tiscali.it. (62.11.10.93)
Time: Tue Apr 27 16:21:09 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ppp-62-11-10-93.dialup.tiscali.it. (62.11.10.93)
Time: Tue Apr 27 16:21:49 2004
Input: 12315616521231
Output: 12315616521231
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host becquerel.noos.net. (212.198.0.94)
Time: Tue Apr 27 17:08:16 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host coriolis.math.purdue.edu. (128.210.3.202)
Time: Tue Apr 27 17:33:48 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:13:40 2004
Input: 1+1
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.020s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:15:04 2004
Input: f<3>
Output:
Errors (if any) and Timing Info: *** unexpected character: f<3>
^
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:15:54 2004
Input: Random(true)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: Random(true)
^
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:10 2004
Input: Random(B)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: Random(B)
^
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:33 2004
Input: Random()
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: Random()
^
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:36 2004
Input: Random(3)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Random(3)
^---------
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:44 2004
Input: Random(Boolean)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: Random(Boolean)
^
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:53 2004
Input: 1 eq 2
Output:
Errors (if any) and Timing Info: *** unused characters: 1eq2
^--
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host-24-225-235-122.patmedia.net. (24.225.235.122)
Time: Tue Apr 27 18:16:59 2004
Input: true eq false
Output: trueeqfalse
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ktvn1f.fei.tuke.sk. (147.232.26.26)
Time: Wed Apr 28 02:50:31 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:24:17 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:25:02 2004
Input: binary(259)
Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:26:59 2004
Input: bezout(53,60)
Output: [17, -15, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:27:31 2004
Input: bezout(89,120)
Output: [-31, 23, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:28:43 2004
Input: factor(25)
Output:
[5 2]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:29:27 2004
Input: factor(3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.993s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:30:40 2004
Input: factor(406888839617379160907451419196545509)
Output:
[20000001928374739 1]
[20344440019283747431 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.355s
user 0m0.280s
sys 0m0.050s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:49:11 2004
Input: factor(406888839617379160907451419196545509)
Output:
[20000001928374739 1]
[20344440019283747431 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.345s
user 0m0.280s
sys 0m0.070s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:49:42 2004
Input: factor(406888839617379160907451419196545509969668965956958658487487489)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.021s
user 0m20.740s
sys 0m0.260s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:49:57 2004
Input: factor(40688883961737916090745141919654550996966896595695865)
Output:
[5 1]
[291996665113 1]
[4780028582039 1]
[5830387081986306426912766939 1]
Errors (if any) and Timing Info:
Timing:
real 0m1.104s
user 0m1.020s
sys 0m0.070s
************** PARI *****************
Host host50-214.pool8289.interbusiness.it. (82.89.214.50)
Time: Wed Apr 28 12:50:14 2004
Input: factor(40688883961737916090745141919654550996966896595695863)
Output:
[1759 1]
[42899 1]
[174959 1]
[2314854329 1]
[2418706853 1]
[550452160135237277921 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.816s
user 0m0.740s
sys 0m0.070s
************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:08:38 2004
Input: tryhfgg
Output: tryhfgg
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:08:54 2004
Input: anh
Output: anh
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:09:03 2004
Input: anh yeu
Output: anhyeu
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:10:18 2004
Input: dangghet
Output: dangghet
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (203.162.104.165)
Time: Wed Apr 28 23:10:28 2004
Input: d
Output: d
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (134.147.233.70)
Time: Thu Apr 29 06:33:27 2004
Input: x=400
y=300
x+y=?
Output: 400
300
Errors (if any) and Timing Info: *** unexpected character: x+y=?
^-
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (134.147.233.70)
Time: Thu Apr 29 06:34:26 2004
Input: x=400
y=300
x+y
Output: 400
300
700
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (134.147.233.70)
Time: Thu Apr 29 06:34:45 2004
Input: x=400
y=300
x*y
Output: 400
300
120000
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (80.84.159.241)
Time: Thu Apr 29 08:08:05 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (212.205.99.105)
Time: Thu Apr 29 20:26:38 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.262s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host kv-083.ptt.yu. (213.137.110.211)
Time: Fri Apr 30 14:49:50 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host kv-083.ptt.yu. (213.137.110.211)
Time: Fri Apr 30 14:50:15 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ut-z-583d.adsl.wanadoo.nl. (212.129.216.61)
Time: Fri Apr 30 18:14:30 2004
Input: gcd(2^100,2^30)
Output: 1073741824
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host ut-z-583d.adsl.wanadoo.nl. (212.129.216.61)
Time: Fri Apr 30 18:14:49 2004
Input: gcd(2^100,2^30)
2^30
Output: 1073741824
1073741824
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp18.eastfowl1.iit.edu. (198.37.18.18)
Time: Fri Apr 30 21:05:58 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:45:49 2004
Input: binary(259)
Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:45:59 2004
Input: binary(259)
Output: [1, 0, 0, 0, 0, 0, 0, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:46:15 2004
Input: binary(25989)
Output: [1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:46:24 2004
Input: binary(2598876786786867867868609999999999999)
Output: [1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:46:42 2004
Input: hexadecimal(2598876786786867867868609999999999999)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: hexadecimal(25988767
^--------------------
Timing:
real 0m0.077s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:47:05 2004
Input: binary(2598876786786867867868609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453453454399999999)
Output: [1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:47:17 2004
Input: binary(259887678678686786786860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345368609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453453454399999999)
Output: [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0,
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:47:33 2004
Input: binary(259887678678686786786860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345368609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523253456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234535345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352325345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352324568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453453454399999999)
Output: [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1,
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.303s
user 0m0.260s
sys 0m0.040s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:50:33 2004
Input: factor(9999999999999999991)
Output:
[5441 1]
[1837897445322551 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:50:44 2004
Input: factor(9999999999999999993)
Output:
[3 1]
[1009 1]
[1303427 1]
[2534550017 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:50:50 2004
Input: factor(9999999999999999997)
Output:
[7 1]
[103 1]
[9431 1]
[155027 1]
[9486361 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host78-178.pool8249.interbusiness.it. (82.49.178.78)
Time: Sat May 1 04:51:22 2004
Input: factor(99999999999999999934726549678235749826354897236578492359784562397854923765482736548972365492367549762354976235977)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.002s
user 0m20.990s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (213.243.30.131)
Time: Sat May 1 15:15:22 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May 2 04:23:51 2004
Input: sum(k=1,100,1/k,0.)
Output: 5.187377517639620260805117675
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May 2 04:24:07 2004
Input: sum(k=1,1000,1/k,0.)
Output: 7.485470860550344912656518204
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May 2 04:24:23 2004
Input: sum(k=1,1000000,1/k,0.)
Output: 14.39272672286572363138112749
Errors (if any) and Timing Info:
Timing:
real 0m2.746s
user 0m2.670s
sys 0m0.080s
************** PARI *****************
Host dialup399.ts008.bmt.esat.net. (194.165.167.143)
Time: Sun May 2 04:24:55 2004
Input: sum(k=1,1000000,1/k,0.0)
Output: 14.39272672286572363138112749
Errors (if any) and Timing Info:
Timing:
real 0m2.750s
user 0m2.630s
sys 0m0.110s
************** PARI *****************
Host plaine-1-81-57-194-36.fbx.proxad.net. (81.57.194.36)
Time: Sun May 2 05:14:07 2004
Input: x^2*x^3
Output: x^5
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host plaine-1-81-57-194-36.fbx.proxad.net. (81.57.194.36)
Time: Sun May 2 05:14:45 2004
Input: (x-2)(x-3)
Output:
Errors (if any) and Timing Info: *** unused characters: (x-2)(x-3)
^-----
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host plaine-1-81-57-194-36.fbx.proxad.net. (81.57.194.36)
Time: Sun May 2 05:15:00 2004
Input: (x-2)*(x-3)
Output: x^2 - 5*x + 6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 12-214-76-26.client.mchsi.com. (12.214.76.26)
Time: Sun May 2 14:03:07 2004
Input: a = 0;
while(a < 23,
print(a);
a = a + 1;
);
Output: 0
Errors (if any) and Timing Info: *** expected character: ')' instead of: while(a<23,
^
*** unused characters: );
^--
Timing:
real 0m0.076s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May 2 21:11:03 2004
Input: gphelp -k "elliptic curves"
Output:
Errors (if any) and Timing Info: *** unused characters: gphelp-k"elliptic curves"
^-----------------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May 2 21:21:53 2004
Input: ellinit
Output:
Errors (if any) and Timing Info: *** expected character: '(' instead of: ellinit
^
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May 2 21:22:28 2004
Input: E=[0 0 1 -1 0]
ellinit
Output: [-9]
Errors (if any) and Timing Info: *** expected character: '(' instead of: ellinit
^
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May 2 22:19:41 2004
Input:
// q-expansion of Newform number 1 of degree 1 in Full modular forms space of level 37, weight 2, and trivial character..
C := RationalField();
R := PolynomialRing(C);
h := a-1;
K := quo;
R := PowerSeriesRing(K);
f := q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100);
Output:
Errors (if any) and Timing Info: *** unexpected character: //q-expansionofNewfo
^--------------------
*** unexpected character: C:=RationalField();
^-----------------
*** unexpected character: R:=PolynomialRing(C);
^--------------------
*** unexpected character: h:=a-1;
^-----
*** unexpected character: K:=quo;
^-----------
*** unexpected character: R:=PowerSeriesRing(K)
^--------------------
*** unexpected character: f:=q-2*q^2-3*q^3+2*q^4
^--------------------
Timing:
real 0m0.054s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Sun May 2 22:20:00 2004
Input: // q-expansion of Newform number 1 of degree 1 in Full modular forms space of level 37, weight 2, and trivial character..
C := RationalField();
R := PolynomialRing(C);
h := a-1;
K := quo;
R := PowerSeriesRing(K);
f := q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100);
Output:
Errors (if any) and Timing Info: *** unexpected character: //q-expansionofNewfo
^--------------------
*** unexpected character: C:=RationalField();
^-----------------
*** unexpected character: R:=PolynomialRing(C);
^--------------------
*** unexpected character: h:=a-1;
^-----
*** unexpected character: K:=quo;
^-----------
*** unexpected character: R:=PowerSeriesRing(K)
^--------------------
*** unexpected character: f:=q-2*q^2-3*q^3+2*q^4
^--------------------
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host203-130.pool8249.interbusiness.it. (82.49.130.203)
Time: Mon May 3 04:58:50 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (202.176.248.99)
Time: Mon May 3 05:48:13 2004
Input: 2+2=
Output:
Errors (if any) and Timing Info: *** unexpected character: 2+2=
^-
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 14:57:39 2004
Input: ?2
Output:
List Mat Mod Pol Polrev Qfb
Ser Set Str Vec binary bitand
bitneg bitnegimply bitor bittest bitxor ceil
centerlift changevar component conj conjvec denominator
floor frac imag length lift norm
norml2 numerator numtoperm padicprec permtonum precision
random real round simplify sizebyte sizedigit
truncate valuation variable
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 14:57:56 2004
Input: ?3
Output:
Euler I Pi abs acos acosh
agm arg asin asinh atan atanh
bernfrac bernreal bernvec besseljh besselk cos
cosh cotan dilog eint1 erfc eta
exp gamma gammah hyperu incgam incgamc
lngamma log polylog psi sin sinh
sqr sqrt sqrtn tan tanh teichmuller
theta thetanullk weber zeta
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 14:58:23 2004
Input: ?
Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
1: Standard monadic or dyadic OPERATORS
2: CONVERSIONS and similar elementary functions
3: TRANSCENDENTAL functions
4: NUMBER THEORETICAL functions
5: Functions related to ELLIPTIC CURVES
6: Functions related to general NUMBER FIELDS
7: POLYNOMIALS and power series
8: Vectors, matrices, LINEAR ALGEBRA and sets
9: SUMS, products, integrals and similar functions
10: GRAPHIC functions
11: PROGRAMMING under GP
12: The PARI community
Further help (list of relevant functions): ?n (1<=n<=11).
Also:
? functionname (short on-line help)
?\ (keyboard shortcuts)
?. (member functions)
Extended help looks available:
?? (opens the full user's manual in a dvi previewer)
?? tutorial (same with the GP tutorial)
?? refcard (same with the GP reference card)
?? keyword (long help text about "keyword" from the user's manual)
??? keyword (a propos: list of related functions).
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 14:58:51 2004
Input: ?9
Output:
intnum prod prodeuler prodinf solve sum sumalt
sumdiv suminf sumpos
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:04:01 2004
Input: ?intnum(x=0,infty,1/x^2,flag=2)
Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a
to b with respect to X. flag is optional and mean 0: default. s can be
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a
or b.
Errors (if any) and Timing Info:
Timing:
real 0m0.083s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:04:37 2004
Input: intnum(x=0,infty,1/x^2,flag=2)
Output:
Errors (if any) and Timing Info: *** division by zero in gdiv, gdivgs or ginv
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:04:49 2004
Input: intnum(x=1,infty,1/x^2,flag=2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:05:37 2004
Input: intnum(x=1,infty,1/x^2,flag=2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:05:53 2004
Input: intnum(x=1,infty,x^2,flag=2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:05:58 2004
Input: intnum(x=1,infty,x^2,flag=2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:06:16 2004
Input: ?intnum
Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a
to b with respect to X. flag is optional and mean 0: default. s can be
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a
or b.
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:07:38 2004
Input: intnum(x=0,1,x)
Output: 0.5000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:08:06 2004
Input: intnum(x=1,infty,x,2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:08:28 2004
Input: intnum(x=1,5,x^2)
Output: 41.33333333333333333333333333
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:08:51 2004
Input: intnum(x=6,5,1/x^2)
Output: -0.03333333333333333333333333330
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:09:07 2004
Input: intnum(x=6,infty,1/x^2,2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:10:35 2004
Input: intnum(x=6,4,1/x^2,1)
Output: -0.08333333333333333333333333401
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:10:45 2004
Input: intnum(x=6,4,1/x^2,2)
Output: -0.08333333333333333333333333330
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:10:58 2004
Input: intnum(x=6,infty,1/x^2,2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:11:20 2004
Input: intnum(x=6,infty,1/x^5,2)
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:11:29 2004
Input: intnum(x=6,10,1/x^5,2)
Output: 0.0001679012345679012345679012344
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:21:54 2004
Input: %2
Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:30:31 2004
Input: a=x+y;
pol(a,y)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: pol(a,y)
^
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:30:50 2004
Input: a=x+y;
pol(a,y);
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: pol(a,y);
^-
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:30:58 2004
Input: a=x+y;
?pol(a,y);
Output:
Errors (if any) and Timing Info: *** pol(a,y): unknown identifier.
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:31:07 2004
Input: ?pol(a,y);
Output:
Errors (if any) and Timing Info: *** pol(a,y): unknown identifier.
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:31:15 2004
Input: ?pol
Output:
Errors (if any) and Timing Info: *** pol: unknown identifier.
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:31:41 2004
Input: ?Pol
Output: Pol(x,{v=x}): convert x (usually a vector or a power series) into a polynomial
with variable v, starting with the leading coefficient.
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:32:07 2004
Input: Pol(x+y,y)
Output: y + y
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:32:24 2004
Input: a=x+y
Pol(a,y)
Output: x + y
y + y
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:36:44 2004
Input: a=x+y
subst(a,y)
Output: x + y
Errors (if any) and Timing Info: *** expected character: ',' instead of: subst(a,y)
^-
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:36:55 2004
Input: a=x+y
Subst(a,y)
Output: x + y
Errors (if any) and Timing Info: *** expected character: '=' instead of: Subst(a,y)
^
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:37:04 2004
Input: a=x+y
Pollsubst(a,y)
Output: x + y
Errors (if any) and Timing Info: *** expected character: '=' instead of: Pollsubst(a,y)
^
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:37:14 2004
Input: ?subst
Output: subst(x,y,z): in expression x, replace the variable y by the expression z.
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:37:42 2004
Input: subst(x+y,x,y)
Output: 2*y
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:38:07 2004
Input: a=x+y
subst(a,x,y)
Output: x + y
2*y
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:40:14 2004
Input: f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
subst(f,q,1/8+i*t)
Output: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
Errors (if any) and Timing Info: *** non positive valuation in a series substitution.
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:41:22 2004
Input: f= x^2 + 8*x
subst(f,x,i)
Output: x^2 + 8*x
i^2 + 8*i
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:47:25 2004
Input: f= x^2 + 8*x
subst(f,x,I)
Output: x^2 + 8*x
-1 + 8*I
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:47:44 2004
Input: f= x^2 + 8*x
subst(f,x,1+I)
Output: x^2 + 8*x
8 + 10*I
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:47:55 2004
Input: f= x^2 + 8*x
subst(f,x,1/8+I)
Output: x^2 + 8*x
1/64 + 33/4*I
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:48:17 2004
Input: f= x^2 + 8*x
subst(f,x,1/8+I*t)
Output: x^2 + 8*x
-t^2 + 33/4*I*t + 65/64
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:48:33 2004
Input: f= x^2
subst(f,x,1/8+I*t)
Output: x^2
-t^2 + 1/4*I*t + 1/64
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:49:07 2004
Input: f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
subst(f,q,1/8+I*t)
Output: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
Errors (if any) and Timing Info: *** non positive valuation in a series substitution.
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:49:20 2004
Input: f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99
subst(f,q,1/8+I*t)
Output: -30*q^99 + 12*q^98 + 4*q^97 - 24*q^96 + 18*q^94 + 12*q^93 + 4*q^92 + 2*q^91 + 24*q^90 + 4*q^89 - 18*q^87 - 4*q^86 + 6*q^84 - 15*q^83 + 18*q^82 + 9*q^81 + 8*q^80 + 4*q^79 - 12*q^78 + 5*q^77 + 3*q^75 + 2*q^74 - q^73 + 9*q^71 - 4*q^70 - 6*q^69 + 8*q^67 - 30*q^66 + 4*q^65 - 8*q^64 - 6*q^63 + 8*q^62 - 8*q^61 + 12*q^60 + 8*q^59 - 12*q^58 + 10*q^55 + 18*q^54 + q^53 - 4*q^52 + 2*q^50 - 6*q^49 + 12*q^48 - 9*q^47 - 4*q^46 - 12*q^45 - 10*q^44 + 2*q^43 - 6*q^42 - 9*q^41 + 6*q^39 - q^37 + 12*q^36 + 2*q^35 + 15*q^33 + 8*q^32 - 4*q^31 - 12*q^30 + 6*q^29 - 2*q^28 - 9*q^27 + 4*q^26 - q^25 + 2*q^23 + 10*q^22 + 3*q^21 - 4*q^20 - 12*q^18 - 4*q^16 + 6*q^15 + 2*q^14 - 2*q^13 - 6*q^12 - 5*q^11 + 4*q^10 + 6*q^9 - q^7 + 6*q^6 - 2*q^5 + 2*q^4 - 3*q^3 - 2*q^2 + q
30*I*t^99 + 1437/4*t^98 - 67933/32*I*t^97 - 2118319/256*t^96 + 6144861/256*I*t^95 + 113538391/2048*t^94 - 1744159747/16384*I*t^93 - 22937661313/131072*t^92 + 526589686663/2097152*I*t^91 + 5334801789605/16777216*t^90 - 47840830430749/134217728*I*t^89 - 376998298506831/1073741824*t^88 + 1272234677413735/4294967296*I*t^87 + 6821069705459733/34359738368*t^86 - 20903710962868753/274877906944*I*t^85 + 102818137633436741/2199023255552*t^84 - 10265323415070376633/70368744177664*I*t^83 - 115133495589055201019/562949953421312*t^82 + 980031303261307334539/4503599627370496*I*t^81 + 6932156356852275424777/36028797018963968*t^80 - 10436648545196921474841/72057594037927936*I*t^79 - 53784393834186667227467/576460752303423488*t^78 + 241892182818691212345175/4611686018427387904*I*t^77 + 1081651317372371095723741/36893488147419103232*t^76 - 13488444235989684923249181/590295810358705651712*I*t^75 - 125569606302223233072253127/4722366482869645213696*t^74 + 1240835016710540577401996671/37778931862957161709568*I*t^73 + 10940485053121697781477167717/302231454903657293676544*t^72 - 42177987712826737571029234427/1208925819614629174706176*I*t^71 - 290368904115640717626522349201/9671406556917033397649408*t^70 + 1843509014354820270503726449997/77371252455336267181195264*I*t^69 + 11222378371184669991615669928463/618970019642690137449562112*t^68 - 543340251703394159965106913349743/39614081257132168796771975168*I*t^67 - 3306366921679244014143775211465021/316912650057057350374175801344*t^66 + 19482944829874296982710225531594333/2535301200456458802993406410752*I*t^65 + 98601909488143005501366817280271151/20282409603651670423947251286016*t^64 - 16231698869366859901849723828901479/10141204801825835211973625643008*I*t^63 + 168347173668970955273831129689543307/81129638414606681695789005144064*t^62 - 3714991899777693636470803573125832807/649037107316853453566312041152512*I*t^61 - 44845034608004686950068871600575930573/5192296858534827628530496329220096*t^60 + 843187136370596303732029128769826924119/83076749736557242056487941267521536*I*t^59 + 6615120540990435087873771652165723674261/664613997892457936451903530140172288*t^58 - 43920378630146733699058171179827434464749/5316911983139663491615228241121378304*I*t^57 - 244374470734161840381773787878177530457791/42535295865117307932921825928971026432*t^56 + 551899527608747788615848162935700739108475/170141183460469231731687303715884105728*I*t^55 + 1815454468063671225546265678281622324194897/1361129467683753853853498429727072845824*t^54 - 901309875987376166246755213690409544422397/10889035741470030830827987437816582766592*I*t^53 + 70174597949471123243350210316153189914715553/87112285931760246646623899502532662132736*t^52 - 4429535143714768117150861038185138607260447103/2787593149816327892691964784081045188247552*I*t^51 - 49955394670955545554617493826753333455428471725/22300745198530623141535718272648361505980416*t^50 + 455514586852724997077736372392731228038596178941/178405961588244985132285746181186892047843328*I*t^49 + 3447281752923934537678682898050619769759239412687/1427247692705959881058285969449495136382746624*t^48 - 5525739529779708230251178273368915947561417364337/2854495385411919762116571938898990272765493248*I*t^47 - 30631555296296644140388661757304969863001580221907/22835963083295358096932575511191922182123945984*t^46 + 144206964523927278383609716070097427448904811260063/182687704666362864775460604089535377456991567872*I*t^45 + 431489536333017945355534296648129434950232978149493/1461501637330902918203684832716283019655932542976*t^44 + 4194142631918218662814820801144627267304491385282159/23384026197294446691258957323460528314494920687616*I*t^43 + 114503574266214140014139551596767118357746365901599645/187072209578355573530071658587684226515959365500928*t^42 - 1383985676716486460274164727249884725201757432880893541/1496577676626844588240573268701473812127674924007424*I*t^41 - 12776227405962322642789303851102335416738585665725494311/11972621413014756705924586149611790497021399392059392*t^40 + 50024333302100445061003741584894255822644973707958940509/47890485652059026823698344598447161988085597568237568*I*t^39 + 340743464162495030418564176322886261106735341360032285431/383123885216472214589586756787577295904684780545900544*t^38 - 1997266394570308476278672620102581163331038735965167014459/3064991081731777716716694054300618367237478244367204352*I*t^37 - 9545217654605024872970109643850336919270252631979463712073/24519928653854221733733552434404946937899825954937634816*t^36 + 459201975058352348781630842820440370134861962819715367287585/3138550867693340381917894711603833208051177722232017256448*I*t^35 - 1156407841268900068372907517404189618099357005061933680763405/25108406941546723055343157692830665664409421777856138051584*t^34 + 35511430358930561487502305649028037106887180204309605761358989/200867255532373784442745261542645325315275374222849104412672*I*t^33 + 423186216237811569249773594757479359423880531840561599763860927/1606938044258990275541962092341162602522202993782792835301376*t^32 - 506317344131100274948708322737569192824731695480015487099699519/1606938044258990275541962092341162602522202993782792835301376*I*t^31 - 3899614756976147456768804814303535508674464802533923064874377341/12855504354071922204335696738729300820177623950262342682411008*t^30 + 22555448367677835547801758698487619649902089975517986591039045025/102844034832575377634685573909834406561420991602098741459288064*I*t^29 + 90400443070240306821546980977028633214420008384000892101586878987/822752278660603021077484591278675252491367932816789931674304512*t^28 - 261526125670163059814771569739949257445382285743754920716228540405/13164036458569648337239753460458804039861886925068638906788872192*I*t^27 + 3614708133477858299193802899817007308859653346104107146772470457073/105312291668557186697918027683670432318895095400549111254310977536*t^26 - 44115567942855349889055967153162848813237220574664420373345741819209/842498333348457493583344221469363458551160763204392890034487820288*I*t^25 - 303563936950291592648103619898391550306496223484628820940764533389811/6739986666787659948666753771754907668409286105635143120275902562304*t^24 + 715895507565697165488705374644078637047295986497441744950671482759059/26959946667150639794667015087019630673637144422540572481103610249216*I*t^23 - 285221818826202858098360923645275434140542994505175350197398017667303/215679573337205118357336120696157045389097155380324579848828881993728*t^22 + 55812554045082862378469320686007972396487770180997922244977343457819387/1725436586697640946858688965569256363112777243042596638790631055949824*I*t^21 + 617178155556850396554388732594325887930392307071966014722959958916086985/13803492693581127574869511724554050904902217944340773110325048447598592*t^20 - 14826556727363393013616457989505260553324411346359808469566329850434983897/441711766194596082395824375185729628956870974218904739530401550323154944*I*t^19 - 12876917911107281538717813165037792239077040428232625009040106927018800987/3533694129556768659166595001485837031654967793751237916243212402585239552*t^18 - 643449904299025568415895802098540059052043924465582055046852362440640628437/28269553036454149273332760011886696253239742350009903329945699220681916416*I*t^17 - 7346809790256806134451958805588209255302753239024152114800277876438397568279/226156424291633194186662080095093570025917938800079226639565593765455331328*t^16 + 9736810545590406942421674985434216489123053868753968583934120376621094164651/452312848583266388373324160190187140051835877600158453279131187530910662656*I*t^15 + 12438444879024113960959954557812394734634820745485011824120450358005194986241/3618502788666131106986593281521497120414687020801267626233049500247285301248*t^14 + 108807891095283674684820365416000857200914988481762862883921546921710170087067/28948022309329048855892746252171976963317496166410141009864396001978282409984*I*t^13 - 861142714379331845372260008150340524076817022954319057740681240932584128354487/231584178474632390847141970017375815706539969331281128078915168015826259279872*t^12 + 50891363913230241558491805969408253656801929951509511339031705599570840218459903/3705346855594118253554271520278013051304639509300498049262642688253220148477952*I*t^11 + 275529878684475028804355749125331021943112963443219224087365681960969483329967309/29642774844752946028434172162224104410437116074403984394101141506025761187823616*t^10 + 945344526135912740478521875973733880280755297618022709436457803464014599691532427/237142198758023568227473377297792835283496928595231875152809132048206089502588928*I*t^9 + 13631466260869687649383444117874995832251145784685991135313234404857035472300208553/1897137590064188545819787018382342682267975428761855001222473056385648716020711424*t^8 - 20919697590337486426555753891449605636688741966034272102539017137029578005722093487/7588550360256754183279148073529370729071901715047420004889892225542594864082845696*I*t^7 - 377710742506675155436285367425467102054635659154984269682509789120691724750264509229/60708402882054033466233184588234965832575213720379360039119137804340758912662765568*t^6 + 1153955092768860047163024885071421731614431221330759307061159136041249224146067785273/485667223056432267729865476705879726660601709763034880312953102434726071301302124544*I*t^5 + 82104744442624904121610987031150052066995223
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:51:29 2004
Input: f=1/x^2
intnum(x=1,infty,f,2)
Output: 1/x^2
Errors (if any) and Timing Info: *** forbidden assignment t_RFRAC --> t_REAL.
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:57:55 2004
Input: intnum(x=0,1,e^{-x^2})
Output:
Errors (if any) and Timing Info: *** unexpected character: intnum(x=0,1,e^{-x^2})
^-------
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:58:08 2004
Input: intnum(x=0,1,e^(-x^2))
Output:
Errors (if any) and Timing Info: *** negative exponent in glog.
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 15:58:59 2004
Input: intnum(x=0,1,exp(-x^2))
Output: 0.7468241328124270253994674361
Errors (if any) and Timing Info:
Timing:
real 0m0.098s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 16:02:18 2004
Input: intnum(x=0,infty,exp(-x^2))
Output:
Errors (if any) and Timing Info: *** forbidden assignment t_POL --> t_REAL.
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 16:02:35 2004
Input: intnum(x=0,infty,exp(-x^2),2)
Output:
Errors (if any) and Timing Info: *** division by zero in gdiv, gdivgs or ginv
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:39:33 2004
Input: f=f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
intnum(q=0,exp(2*pi*I/8),f)
Output: q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99 + O(q^100)
Errors (if any) and Timing Info: *** forbidden assignment t_SER --> t_REAL.
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:40:02 2004
Input: f=f = q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99
intnum(q=0,exp(2*pi*I/8),f)
Output: -30*q^99 + 12*q^98 + 4*q^97 - 24*q^96 + 18*q^94 + 12*q^93 + 4*q^92 + 2*q^91 + 24*q^90 + 4*q^89 - 18*q^87 - 4*q^86 + 6*q^84 - 15*q^83 + 18*q^82 + 9*q^81 + 8*q^80 + 4*q^79 - 12*q^78 + 5*q^77 + 3*q^75 + 2*q^74 - q^73 + 9*q^71 - 4*q^70 - 6*q^69 + 8*q^67 - 30*q^66 + 4*q^65 - 8*q^64 - 6*q^63 + 8*q^62 - 8*q^61 + 12*q^60 + 8*q^59 - 12*q^58 + 10*q^55 + 18*q^54 + q^53 - 4*q^52 + 2*q^50 - 6*q^49 + 12*q^48 - 9*q^47 - 4*q^46 - 12*q^45 - 10*q^44 + 2*q^43 - 6*q^42 - 9*q^41 + 6*q^39 - q^37 + 12*q^36 + 2*q^35 + 15*q^33 + 8*q^32 - 4*q^31 - 12*q^30 + 6*q^29 - 2*q^28 - 9*q^27 + 4*q^26 - q^25 + 2*q^23 + 10*q^22 + 3*q^21 - 4*q^20 - 12*q^18 - 4*q^16 + 6*q^15 + 2*q^14 - 2*q^13 - 6*q^12 - 5*q^11 + 4*q^10 + 6*q^9 - q^7 + 6*q^6 - 2*q^5 + 2*q^4 - 3*q^3 - 2*q^2 + q
Errors (if any) and Timing Info: *** forbidden assignment t_SER --> t_REAL.
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:40:16 2004
Input: f= q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21 + 10*q^22 + 2*q^23 - q^25 + 4*q^26 - 9*q^27 - 2*q^28 + 6*q^29 - 12*q^30 - 4*q^31 + 8*q^32 + 15*q^33 + 2*q^35 + 12*q^36 - q^37 + 6*q^39 - 9*q^41 - 6*q^42 + 2*q^43 - 10*q^44 - 12*q^45 - 4*q^46 - 9*q^47 + 12*q^48 - 6*q^49 + 2*q^50 - 4*q^52 + q^53 + 18*q^54 + 10*q^55 - 12*q^58 + 8*q^59 + 12*q^60 - 8*q^61 + 8*q^62 - 6*q^63 - 8*q^64 + 4*q^65 - 30*q^66 + 8*q^67 - 6*q^69 - 4*q^70 + 9*q^71 - q^73 + 2*q^74 + 3*q^75 + 5*q^77 - 12*q^78 + 4*q^79 + 8*q^80 + 9*q^81 + 18*q^82 - 15*q^83 + 6*q^84 - 4*q^86 - 18*q^87 + 4*q^89 + 24*q^90 + 2*q^91 + 4*q^92 + 12*q^93 + 18*q^94 - 24*q^96 + 4*q^97 + 12*q^98 - 30*q^99
intnum(q=0,exp(2*pi*I/8),f)
Output: -30*q^99 + 12*q^98 + 4*q^97 - 24*q^96 + 18*q^94 + 12*q^93 + 4*q^92 + 2*q^91 + 24*q^90 + 4*q^89 - 18*q^87 - 4*q^86 + 6*q^84 - 15*q^83 + 18*q^82 + 9*q^81 + 8*q^80 + 4*q^79 - 12*q^78 + 5*q^77 + 3*q^75 + 2*q^74 - q^73 + 9*q^71 - 4*q^70 - 6*q^69 + 8*q^67 - 30*q^66 + 4*q^65 - 8*q^64 - 6*q^63 + 8*q^62 - 8*q^61 + 12*q^60 + 8*q^59 - 12*q^58 + 10*q^55 + 18*q^54 + q^53 - 4*q^52 + 2*q^50 - 6*q^49 + 12*q^48 - 9*q^47 - 4*q^46 - 12*q^45 - 10*q^44 + 2*q^43 - 6*q^42 - 9*q^41 + 6*q^39 - q^37 + 12*q^36 + 2*q^35 + 15*q^33 + 8*q^32 - 4*q^31 - 12*q^30 + 6*q^29 - 2*q^28 - 9*q^27 + 4*q^26 - q^25 + 2*q^23 + 10*q^22 + 3*q^21 - 4*q^20 - 12*q^18 - 4*q^16 + 6*q^15 + 2*q^14 - 2*q^13 - 6*q^12 - 5*q^11 + 4*q^10 + 6*q^9 - q^7 + 6*q^6 - 2*q^5 + 2*q^4 - 3*q^3 - 2*q^2 + q
Errors (if any) and Timing Info: *** forbidden assignment t_SER --> t_REAL.
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:40:42 2004
Input: f= q - 2*q^2 - 3*q^3 + 2*q^4 - 2*q^5 + 6*q^6 - q^7 + 6*q^9 + 4*q^10 - 5*q^11 - 6*q^12 - 2*q^13 + 2*q^14 + 6*q^15 - 4*q^16 - 12*q^18 - 4*q^20 + 3*q^21
intnum(q=0,exp(2*pi*I/8),f)
Output: 3*q^21 - 4*q^20 - 12*q^18 - 4*q^16 + 6*q^15 + 2*q^14 - 2*q^13 - 6*q^12 - 5*q^11 + 4*q^10 + 6*q^9 - q^7 + 6*q^6 - 2*q^5 + 2*q^4 - 3*q^3 - 2*q^2 + q
Errors (if any) and Timing Info: *** forbidden assignment t_SER --> t_REAL.
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:41:00 2004
Input: f=q
intnum(q=0,exp(2*pi*I/8),f)
Output: q
Errors (if any) and Timing Info: *** forbidden assignment t_SER --> t_REAL.
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:41:47 2004
Input: f=x
intnum(x=0,1,f)
Output: x
1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:42:17 2004
Input: f=x^2
intnum(x=0,1,f)
Output: x^2
1.000000000000000000000000000*x^2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:42:41 2004
Input: ?intnum
Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a
to b with respect to X. flag is optional and mean 0: default. s can be
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a
or b.
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:43:26 2004
Input: intnum(x=0,1,x)
Output: 0.5000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:44:10 2004
Input: f=x
intnum(x=0,1,f)
Output: x
1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 17:44:17 2004
Input: f:=x
intnum(x=0,1,f)
Output: 1.000000000000000000000000000*f
Errors (if any) and Timing Info: *** unexpected character: f:=x
^--
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:01:59 2004
Input: f=x
int(x=0,1,f)
Output: x
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: int(x=0,1,f)
^------------
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:02:12 2004
Input: f=x
intnum(x=0,1,f)
Output: x
1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:02:45 2004
Input: f=x;
intnum(x=0,1,f)
Output: 1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:04:14 2004
Input: f=x+1;
intnum(x=0,1,f)
Output: 1.000000000000000000000000000*x + 1.000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:04:25 2004
Input: f=x+1;
intnum(x=0,2,f)
Output: 2.000000000000000000000000000*x + 2.000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:07:48 2004
Input: f=Pol(x);
intnum(x=0,1,f)
Output: 1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:14:05 2004
Input: Pol(x)
intnum(x=0,1,%1)
Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:14:35 2004
Input: f=Pol(x)
intnum(x=0,1,f)
Output: x
1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:14:44 2004
Input: f=Pol(x);
intnum(x=0,1,f)
Output: 1.000000000000000000000000000*x
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:14:58 2004
Input: f=Pol(x^2-1);
intnum(x=0,1,f)
Output: 1.000000000000000000000000000*x^2 - 1.000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:16:19 2004
Input: f=Pol(x^2-1);
intnum0(x,0,1,f)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: intnum0(x,0,1,f)
^----------------
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:16:38 2004
Input:
?intnum0(x,0,1,f)
Output:
Errors (if any) and Timing Info: *** intnum0(x,0,1,f): unknown identifier.
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 18:16:48 2004
Input: ?intnum(x,0,1,f)
Output: intnum(X=a,b,s,{flag=0}): numerical integration of s (smooth in ]a,b[) from a
to b with respect to X. flag is optional and mean 0: default. s can be
evaluated exactly on [a,b]; 1: general function; 2: a or b can be plus or
minus infinity (chosen suitably), but of same sign; 3: s has only limits at a
or b.
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 20:59:10 2004
Input: E=ellinit([0 0 1 -1 0])
Output:
Errors (if any) and Timing Info: *** bad argument for an elliptic curve related function
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host dhcp-129-64-53-12.math.brandeis.edu. (129.64.53.12)
Time: Mon May 3 21:00:11 2004
Input: E=ellinit([0 0 1 -1 0]);
Output:
Errors (if any) and Timing Info: *** bad argument for an elliptic curve related function
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host183-118.pool8250.interbusiness.it. (82.50.118.183)
Time: Tue May 4 05:41:42 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host reached (195.6.68.20)
Time: Tue May 4 07:00:53 2004
Input: factor(4234123412)
Output:
[2 2]
[1058530853 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host xt2geo.math.u-psud.fr. (129.175.52.106)
Time: Tue May 4 08:56:49 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ppp-104-214.iam.net.ma. (212.217.104.214)
Time: Tue May 4 14:22:50 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:06:52 2004
Input: Mod(56^37,143)
Output: Mod(56, 143)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:07:25 2004
Input: Mod(56^37,143)
Output: Mod(56, 143)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:08:48 2004
Input: Mod(251^52,11)
Output: Mod(4, 11)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:18:02 2004
Input: Mod(10^11,91)
Output: Mod(82, 91)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:19:02 2004
Input: Mod(56^37,143)
Output: Mod(56, 143)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:19:15 2004
Input: Mod(10^11,91)
Output: Mod(82, 91)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Tue May 4 19:47:33 2004
Input: Mod(10^11,13)
Output: Mod(4, 13)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-305a72d5.01-9-74686e1.cust.bredbandsbolaget.se. (213.114.90.48)
Time: Tue May 4 19:54:35 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host lucina18.ee.nthu.edu.tw. (140.114.26.178)
Time: Wed May 5 00:07:24 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 08:06:07 2004
Input: Mod(10^13,72)
Output: Mod(64, 72)
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 08:09:34 2004
Input: Mod(10^13,91)
Output: Mod(10, 91)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 08:14:25 2004
Input: Mod(4^23,77)
Output: Mod(9, 77)
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 08:17:37 2004
Input: Mod(56^13,143)
Output: Mod(56, 143)
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 09:15:35 2004
Input: Mod(-272,91)
Output: Mod(1, 91)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 09:16:50 2004
Input: Mod(456,91)
Output: Mod(1, 91)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May 5 11:36:49 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May 5 11:37:46 2004
Input: a=vector(7)
Output: [0, 0, 0, 0, 0, 0, 0]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May 5 11:38:01 2004
Input: a=vector(7)
Output: [0, 0, 0, 0, 0, 0, 0]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 168ext7.cab.uniroma3.it. (193.204.163.2)
Time: Wed May 5 11:38:55 2004
Input: Mod(Mod(1,2)*(t^5+t+1),t^6)
Output: Mod(Mod(1, 2)*t^5 + Mod(1, 2)*t + Mod(1, 2), t^6)
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:18:06 2004
Input: isprime(113)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:19:14 2004
Input: isprime(221)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:35:46 2004
Input: Mod(2^55,221)
Output: Mod(128, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:39:27 2004
Input: Mod(128^2,221)
Output: Mod(30, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:39:38 2004
Input: Mod(30^2,221)
Output: Mod(16, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:39:49 2004
Input: Mod(16^2,221)
Output: Mod(35, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:39:57 2004
Input: Mod(35^2,221)
Output: Mod(120, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:40:04 2004
Input: Mod(120^2,221)
Output: Mod(35, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:40:12 2004
Input: Mod(35^2,221)
Output: Mod(120, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:41:48 2004
Input: Mod(2^55,221)
Output: Mod(128, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:42:01 2004
Input: Mod(128^2,221)
Output: Mod(30, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:42:07 2004
Input: Mod(128^4,221)
Output: Mod(16, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:42:18 2004
Input: Mod(128^6,221)
Output: Mod(38, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:42:24 2004
Input: Mod(128^8,221)
Output: Mod(35, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:42:30 2004
Input: Mod(128^10,221)
Output: Mod(166, 221)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:42:44 2004
Input: isprime(221)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:43:07 2004
Input: isprime(7)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:43:11 2004
Input: isprime(755)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:43:19 2004
Input: isprime(55)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:43:49 2004
Input: Isprime(55)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Isprime(55)
^-----------
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:43:58 2004
Input: isprime(55)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.000s
sys 0m0.060s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:44:44 2004
Input: isprime(10)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:44:49 2004
Input: isprime(17)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 12:44:59 2004
Input: isprime(221)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:30:52 2004
Input: Mod(45^54,91)
Output: Mod(64, 91)
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:43:33 2004
Input: factor(561)
Output:
[3 1]
[11 1]
[17 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:44:48 2004
Input: factor(256)
Output:
[2 8]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:47:05 2004
Input: Mod(12^256,11)
Output: Mod(1, 11)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:47:15 2004
Input: Mod(12^256,3)
Output: Mod(0, 3)
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:47:25 2004
Input: Mod(12^256,3)
Output: Mod(0, 3)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:49:36 2004
Input: Mod(12^256,17)
Output: Mod(1, 17)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host150-57.pool80181.interbusiness.it. (80.181.57.150)
Time: Wed May 5 17:54:50 2004
Input: Mod(12^256,561)
Output: Mod(375, 561)
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host millennium-ppp103.ccf.auth.gr. (155.207.209.230)
Time: Thu May 6 03:15:29 2004
Input: R := PolynomialRing(Integers());
> K := NumberField(x^7 - x^6 + 8*x^5 + 2);
> UnitEquation(a^7, 4*a^2 + a^80, a^7 + a^80 + 4*a^2);
Output:
Errors (if any) and Timing Info: *** unexpected character: R:=PolynomialRing(Int
^--------------------
*** unexpected character: >K:=NumberField(x
^--------------------
*** unexpected character: >UnitEquation(a^7,4*
^--------------------
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (213.212.232.103)
Time: Thu May 6 05:44:22 2004
Input: x=30*800
Output: 24000
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.212.232.103)
Time: Thu May 6 05:44:48 2004
Input: for(x=0,30,print(x)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: for(x=0,30,print(x)
^
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.212.232.103)
Time: Thu May 6 05:44:56 2004
Input: for(x=0,30,print(x))
Output: 0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host bess-proxy11.esc11.net. (63.147.240.11)
Time: Thu May 6 13:19:15 2004
Input: hjfhjfh
Output: hjfhjfh
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host gauss.math.brown.edu. (128.148.194.8)
Time: Thu May 6 14:13:03 2004
Input: K:=CyclotomicField(79);
G:=MatrixGroup< 3,K | [w,0,0,0,w^23,0,0,0,w^55], [0,1,0,0,0,1,1,0,0]>;
T:=CharacterTable(G);
Output:
Errors (if any) and Timing Info: *** unexpected character: K:=CyclotomicField(79
^--------------------
*** unexpected character: G:=MatrixGroup<3,K|[w,
^--------------------
*** unexpected character: T:=CharacterTable(G);
^-------------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host gauss.math.brown.edu. (128.148.194.8)
Time: Thu May 6 14:13:35 2004
Input: K:=CyclotomicField(79);
G:=MatrixGroup< 3,K | [w,0,0,0,w^23,0,0,0,w^55], [0,1,0,0,0,1,1,0,0]>;
Output:
Errors (if any) and Timing Info: *** unexpected character: K:=CyclotomicField(79
^--------------------
*** unexpected character: G:=MatrixGroup<3,K|[w,
^--------------------
Timing:
real 0m0.108s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (81.208.160.254)
Time: Thu May 6 17:30:48 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (81.208.160.254)
Time: Thu May 6 17:31:12 2004
Input: 1 mod 5
Output:
Errors (if any) and Timing Info: *** unused characters: 1mod5
^----
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (128.250.191.14)
Time: Thu May 6 20:57:23 2004
Input: e>1; e<43*47;
Output:
Errors (if any) and Timing Info: *** incorrect type in comparison.
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (128.250.191.14)
Time: Thu May 6 21:09:37 2004
Input: temp:= gcd(e,1932)=1
Output:
Errors (if any) and Timing Info: *** unexpected character: temp:=gcd(e,1932)=1
^--------------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host marcus.whmo.mil. (214.3.140.16)
Time: Fri May 7 09:49:06 2004
Input: sqr(5)*3
Output: 75
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host marcus.whmo.mil. (214.3.140.16)
Time: Fri May 7 09:49:16 2004
Input: sqr(9)*3
Output: 243
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (131.204.204.79)
Time: Fri May 7 10:17:47 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (131.204.204.79)
Time: Fri May 7 10:17:51 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May 8 04:10:17 2004
Input: for(x=0,11,print(Mod(123456789,x)))
Output:
Errors (if any) and Timing Info: *** division by zero in dvmdii
Timing:
real 0m0.076s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May 8 04:10:31 2004
Input: for(x=1,11,print(Mod(123456789,x)))
Output: Mod(0, 1)
Mod(1, 2)
Mod(0, 3)
Mod(1, 4)
Mod(4, 5)
Mod(3, 6)
Mod(1, 7)
Mod(5, 8)
Mod(0, 9)
Mod(9, 10)
Mod(5, 11)
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May 8 04:11:47 2004
Input: for(x=12345678,12345669,print(Mod(123456789,x)))
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (217.139.194.145)
Time: Sat May 8 04:12:02 2004
Input: for(x=12345678,12345669,print(Mod(123456789,x)))
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 81-202-132-67.user.ono.com. (81.202.132.67)
Time: Sat May 8 05:40:53 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host HSE-Toronto-ppp181657.sympatico.ca. (64.229.95.198)
Time: Sat May 8 22:39:36 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May 9 02:26:32 2004
Input: for(x=1,10,print(Mod(1234567,x^9)))
Output: Mod(0, 1)
Mod(135, 512)
Mod(14221, 19683)
Mod(185991, 262144)
Mod(1234567, 1953125)
Mod(1234567, 10077696)
Mod(1234567, 40353607)
Mod(1234567, 134217728)
Mod(1234567, 387420489)
Mod(1234567, 1000000000)
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May 9 02:27:11 2004
Input: for(x=1,10,print(Mod(1234567,17)))
Output: Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Mod(10, 17)
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May 9 02:27:22 2004
Input: for(x=1,10,print(Mod(1234567,x+17)))
Output: Mod(1, 18)
Mod(4, 19)
Mod(7, 20)
Mod(19, 21)
Mod(15, 22)
Mod(19, 23)
Mod(7, 24)
Mod(17, 25)
Mod(9, 26)
Mod(19, 27)
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May 9 02:27:38 2004
Input: for(x=1,10,print(Mod(1234567,x+x^2+17)))
Output: Mod(4, 19)
Mod(19, 23)
Mod(8, 29)
Mod(25, 37)
Mod(18, 47)
Mod(51, 59)
Mod(64, 73)
Mod(48, 89)
Mod(1, 107)
Mod(0, 127)
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May 9 02:28:12 2004
Input: for(x=1,10,print(Mod(1234567,1017)))
Output: Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Mod(946, 1017)
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (62.135.119.244)
Time: Sun May 9 02:28:22 2004
Input: for(x=1,10,print(Mod(1234567,127)))
Output: Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Mod(0, 127)
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host AStrasbourg-206-1-34-86.w81-248.abo.wanadoo.fr. (81.248.228.86)
Time: Sun May 9 07:41:17 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (202.179.137.14)
Time: Sun May 9 07:41:52 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-162-170-33.client.comcast.net. (67.162.170.33)
Time: Sun May 9 21:04:48 2004
Input: M:=ModularSymbols(Gamma1(43));
S:=CuspidalSubspace(M);
D:=NewformDecomposition(S);
A:=D[2];
LRatio(A,1)
Output:
Errors (if any) and Timing Info: *** unexpected character: M:=ModularSymbols(Gamm
^--------------------
*** unexpected character: S:=CuspidalSubspace(M)
^--------------------
*** unexpected character: D:=NewformDecompositio
^--------------------
*** unexpected character: A:=D[2];
^------
*** unknown function or error in formal parameters: LRatio(A,1)
^-----------
Timing:
real 0m0.070s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host docsis133-182.menta.net. (62.57.133.182)
Time: Mon May 10 19:09:27 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host docsis133-182.menta.net. (62.57.133.182)
Time: Mon May 10 19:09:38 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host docsis133-182.menta.net. (62.57.133.182)
Time: Mon May 10 19:09:55 2004
Input: x+4=0
Output:
Errors (if any) and Timing Info: *** unexpected character: x+4=0
^--
Timing:
real 0m0.050s
user 0m0.000s
sys 0m0.050s
************** PARI *****************
Host farmer-barleymow.maths.ox.ac.uk. (163.1.148.64)
Time: Tue May 11 09:07:01 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508EA213.dip.t-dialin.net. (80.142.162.19)
Time: Tue May 11 13:37:17 2004
Input: 1
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508EA213.dip.t-dialin.net. (80.142.162.19)
Time: Tue May 11 13:37:43 2004
Input: 5^x=6,7
Output:
Errors (if any) and Timing Info: *** unused characters: 5^x=6,7
^--
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:20:37 2004
Input: e;=Ellinit([0,0,-1,0,0]);
Output:
Errors (if any) and Timing Info: *** unexpected character: e;=Ellinit([0,0,-1,0,0
^--------------------
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:20:44 2004
Input: e:=Ellinit([0,0,-1,0,0]);
Output:
Errors (if any) and Timing Info: *** unexpected character: e:=Ellinit([0,0,-1,0,0
^--------------------
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.020s
************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:20:49 2004
Input: e:=Ellinit([0,0,-1,0,0]);
Output:
Errors (if any) and Timing Info: *** unexpected character: e:=Ellinit([0,0,-1,0,0
^--------------------
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host long.math.iastate.edu. (129.186.52.128)
Time: Tue May 11 16:21:19 2004
Input: e:=Ellinit([0,0,-1,0,0])
Output:
Errors (if any) and Timing Info: *** unexpected character: e:=Ellinit([0,0,-1,0,0
^--------------------
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host AVelizy-112-1-20-159.w81-248.abo.wanadoo.fr. (81.248.173.159)
Time: Tue May 11 18:45:57 2004
Input: sum(i,1...10)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: sum(i,1...10)
^--------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host AVelizy-112-1-20-159.w81-248.abo.wanadoo.fr. (81.248.173.159)
Time: Tue May 11 18:46:14 2004
Input: =
sum(i,1...10)
Output:
Errors (if any) and Timing Info: *** unexpected character: =sum(i,1...10)
^--------------
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host pD9F83B65.dip.t-dialin.net. (217.248.59.101)
Time: Wed May 12 09:50:16 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host maga1.matap.uma.es. (150.214.235.72)
Time: Wed May 12 11:54:15 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:47:29 2004
Input: 2x^2 + 3x^2
Output:
Errors (if any) and Timing Info: *** unused characters: 2x^2+3x^2
^--------
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:49:00 2004
Input: 2^2 + 3^2
Output: 13
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:49:17 2004
Input: 2*x^2 + 3*x^2
Output: 5*x^2
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:55:43 2004
Input: 2*x^2 + 2*y^2 = 2*r^2
Output:
Errors (if any) and Timing Info: *** unexpected character: 2*x^2+2*y^2=2*r^2
^------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:56:10 2004
Input: 2*x^2 + 2*y^2
Output: 2*x^2 + 2*y^2
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:56:25 2004
Input: (2*x)^2 + (2*y)^2
Output: 4*x^2 + 4*y^2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:57:04 2004
Input: (2*x)^2 + (2*y)^2 - (2*z)^2
Output: 4*x^2 + (4*y^2 - 4*z^2)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 18:57:23 2004
Input: (2*x)^2 + (2*y)^2 - (2*z)^2 = 0
Output:
Errors (if any) and Timing Info: *** unexpected character: (2*x)^2+(2*y)^2-(2*z)^2=0
^--
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 219-88-199-107.jetstream.xtra.co.nz. (219.88.199.107)
Time: Wed May 12 19:05:17 2004
Input: z:= (((2*x)^2 + (2*y)^2)^.5)/2)
Output:
Errors (if any) and Timing Info: *** unexpected character: z:=(((2*x)^2+(2*y)^2)^
^--------------------
Timing:
real 0m0.053s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host host94-210.pool62211.interbusiness.it. (62.211.210.94)
Time: Thu May 13 03:53:40 2004
Input: 345-2
Output: 343
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host94-210.pool62211.interbusiness.it. (62.211.210.94)
Time: Thu May 13 03:53:57 2004
Input: type(345-2)
Output: "t_INT"
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host94-210.pool62211.interbusiness.it. (62.211.210.94)
Time: Thu May 13 03:54:17 2004
Input: type(type)
Output:
Errors (if any) and Timing Info: *** expected character: '(' instead of: type(type)
^-
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Fri May 14 07:05:21 2004
Input: for(n=1,200,if(isprime(n),print1(n",")))
Output: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,
Errors (if any) and Timing Info:
Timing:
real 0m0.099s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Fri May 14 07:06:31 2004
Input: pi10(n) = local(ct); for(x=10^n,10^n+100,if(isprime(x),ct++));ct
for(n=0,300,print1(pi10(n)","))
Output: 26,25,21,16,11,6,6,2,6,7,5,7,4,3,4,2,4,7,4,5,1,0,3,0,2,1,1,0,0,0,2,3,1,1,0,1,1,2,0,4,0,0,1,3,2,1,0,1,0,2,0,0,0,0,1,1,2,0,0,1,4,1,0,0,2,1,1,2,1,2,1,0,1,2,0,0,0,1,1,1,0,3,0,2,0,0,0,0,0,2,0,1,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,2,1,0,1,0,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1,1,2,1,1,0,0,0,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,0,2,1,0,0,0,0,0,0,0,
Errors (if any) and Timing Info:
Timing:
real 0m20.994s
user 0m20.940s
sys 0m0.060s
************** PARI *****************
Host 3(NXDOMAIN) (147.83.79.100)
Time: Fri May 14 07:16:43 2004
Input: FiniteField(2,5)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: FiniteField(2,5)
^----------------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host spinks.ewlab.usna.edu. (131.122.85.49)
Time: Fri May 14 10:49:43 2004
Input: x=[1,2;1;0]
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: x=[1,2;1;0]
^---
Timing:
real 0m0.065s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 80.58.15.170.proxycache.rima-tde.net. (80.58.15.170)
Time: Fri May 14 17:33:47 2004
Input: 67591
Output: 67591
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host modem-0506.rns.tamu.edu. (165.91.66.57)
Time: Sat May 15 07:51:14 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.100s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host modem-0506.rns.tamu.edu. (165.91.66.57)
Time: Sat May 15 07:51:23 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 05McMath-SS54a.mid4.usna.edu. (131.122.47.122)
Time: Sun May 16 18:57:06 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 05McMath-SS54a.mid4.usna.edu. (131.122.47.122)
Time: Sun May 16 18:57:45 2004
Input: factor(28);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 05McMath-SS54a.mid4.usna.edu. (131.122.47.122)
Time: Sun May 16 18:57:58 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Mon May 17 05:39:39 2004
Input: S:=[13, 19, 31, 37, 43, 59, 61, 67, 71 ];
for b in S do
print(b);
A := QuaternionAlgebra< RationalField() | -3, -b>;
RamifiedPrimes(A);
end for;
Output: forbinSdo
b
Errors (if any) and Timing Info: *** unexpected character: S:=[13,19,31,37,43,59,
^--------------------
*** unused characters: A:=QuaternionAlg
^--------------------
*** expected character: '=' instead of: RamifiedPrimes(A);
^-
Timing:
real 0m0.075s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Mon May 17 05:39:53 2004
Input: S:=[13, 19, 31, 37, 43, 59, 61, 67, 71];
for b in S do
print(b);
A := QuaternionAlgebra< RationalField() | -3, -b>;
RamifiedPrimes(A);
end for;
Output: forbinSdo
b
Errors (if any) and Timing Info: *** unexpected character: S:=[13,19,31,37,43,59,
^--------------------
*** unused characters: A:=QuaternionAlg
^--------------------
*** expected character: '=' instead of: RamifiedPrimes(A);
^-
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (217.220.141.103)
Time: Tue May 18 04:20:30 2004
Input: dsas
Output: dsas
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host p508F7391.dip.t-dialin.net. (80.143.115.145)
Time: Tue May 18 09:41:25 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.275s
user 0m0.050s
sys 0m0.040s
************** PARI *****************
Host 2(SERVFAIL) (213.8.179.11)
Time: Tue May 18 10:08:04 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host cache.uci.agh.edu.pl. (149.156.96.20)
Time: Tue May 18 15:00:30 2004
Input: 6+6
Output: 12
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host cache.uci.agh.edu.pl. (149.156.96.20)
Time: Tue May 18 15:01:26 2004
Input: 6-4
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host roam183-108.student.harvard.edu. (140.247.183.108)
Time: Tue May 18 21:23:25 2004
Input: F := PolynomialRing(RationalField());
N := NumberField(x^2-3);
I := Ideal
O := MaximalOrder(N);
Index(O, I);
Output:
Errors (if any) and Timing Info: *** unexpected character: F:=PolynomialRing(Rat
^--------------------
*** unexpected character: N:=NumberField(x^2-3)
^--------------------
*** unexpected character: I:=Ideal
^-----------
*** expected character: '(' instead of: O:=MaximalOrder(N);
^------------------
*** expected character: '(' instead of: Index(O,I);
^----
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 83-70-34-158.bas2.prp.dublin.eircom.net. (83.70.34.158)
Time: Wed May 19 12:23:16 2004
Input: GolayCode(GF(2),true);
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: GolayCode(GF(2),true);
^------------
Timing:
real 0m0.078s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 83-70-34-158.bas2.prp.dublin.eircom.net. (83.70.34.158)
Time: Wed May 19 12:23:29 2004
Input: 1+1;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host math64-235.bu.edu. (128.197.60.43)
Time: Wed May 19 13:34:48 2004
Input: E=ellinit([0,0,0,0,1])
Output: [0, 0, 0, 0, 1, 0, 0, 4, 0, 0, -864, -432, 0, [-1.000000000000000000000000000, 0.5000000000000000000000000000 - 0.8660254037844386467637231707*I, 0.5000000000000000000000000000 + 0.8660254037844386467637231707*I]~, 4.206546315976362783525057237, -2.103273157988181391762528618 + 1.214325323943790805909970844*I, -1.293554779614895267476757512 + 1.44309482 E-29*I, 0.6467773898074476337383787562 - 1.120251300333280219655206320*I, 5.108115717832556535122194506]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (202.83.162.26)
Time: Thu May 20 03:16:22 2004
Input: M:=KMatrixSpace(FiniteField(2),8,16);
G:=M![1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0];
C:=LinearCode(G);
H:=M![1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0];
D:=LinearCode(H);
K:=M![1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,0,0,1,0,1,0,1,0];
B:=LinearCode(K);
IsEquivalent(C,D)
Output:
Errors (if any) and Timing Info: *** unexpected character: M:=KMatrixSpace(Finite
^--------------------
*** unexpected character: G:=M![1,1,1,1,0,0,0,0,
^--------------------
*** unexpected character: C:=LinearCode(G);
^---------------
*** unexpected character: H:=M![1,1,1,1,0,0,0,0,
^--------------------
*** unexpected character: D:=LinearCode(H);
^---------------
*** unexpected character: K:=M![1,1,1,1,0,0,0,0,
^--------------------
*** unused characters: ,1,1,1,1,1,1,1,1,0,0
^--------------------
*** unexpected character: B:=LinearCode(K);
^---------------
*** expected character: '=' instead of: IsEquivalent(C,D)
^
Timing:
real 0m0.065s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (61.144.207.230)
Time: Thu May 20 08:23:38 2004
Input: sin(3)
Output: 0.1411200080598672221007448027
Errors (if any) and Timing Info:
Timing:
real 0m0.269s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host dialup-4.154.30.117.Dial1.Atlanta1.Level3.net. (4.154.30.117)
Time: Thu May 20 10:28:42 2004
Input: factor(12345678901234567890123456789012345678901234567890)
Output:
[2 1]
[3 2]
[5 1]
[251 1]
[3607 1]
[3803 1]
[5051 1]
[21401 1]
[25601 1]
[182521213001 1]
[78875943472201 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.121s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host dialup-4.154.30.117.Dial1.Atlanta1.Level3.net. (4.154.30.117)
Time: Thu May 20 10:29:27 2004
Input: v
Output: v
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c211-31-7-42.blktn4.nsw.optusnet.com.au. (211.31.7.42)
Time: Thu May 20 20:49:37 2004
Input: Factorization(2222222222222)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factorization(222222
^--------------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 22:56:39 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 22:59:51 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:00:36 2004
Input: 1./ 7
Output: 0.1428571428571428571428571428
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:04:10 2004
Input: factor(12345)
Output:
[3 1]
[5 1]
[823 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:06:46 2004
Input: factor(11111111111111111111111111111111111111111111111111111111111111111111111)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.001s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:06:55 2004
Input: factor(111111111111111111111111111111111111111111111111111111111)
Output:
[3 1]
[37 1]
[21319 1]
[10749631 1]
[1111111111111111111 1]
[3931123022305129377976519 1]
Errors (if any) and Timing Info:
Timing:
real 0m1.684s
user 0m1.570s
sys 0m0.090s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:07:15 2004
Input: factor(1111111111111111111111111111111111111111111111111111111111)
Output:
[11 1]
[59 1]
[3191 1]
[16763 1]
[43037 1]
[62003 1]
[77843839397 1]
[154083204930662557781201849 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.608s
user 0m0.540s
sys 0m0.060s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:07:26 2004
Input: factor(11111111111111111111111111111111111111111111111111111111111)
Output:
[2559647034361 1]
[4340876285657460212144534289928559826755746751 1]
Errors (if any) and Timing Info:
Timing:
real 0m4.245s
user 0m4.220s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:08:44 2004
Input: factor(1111111111 1111111111)
Output:
[11 1]
[41 1]
[101 1]
[271 1]
[3541 1]
[9091 1]
[27961 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:09:03 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1)
Output:
[3 1]
[37 1]
[613 1]
[210631 1]
[2071723 1]
[52986961 1]
[5363222357 1]
[13168164561429877 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.152s
user 0m0.130s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:09:11 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111)
Output:
[11 1]
[41 1]
[251 1]
[271 1]
[5051 1]
[9091 1]
[21401 1]
[25601 1]
[182521213001 1]
[78875943472201 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.104s
user 0m0.040s
sys 0m0.070s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:09:35 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1)
Output:
[3 1]
[37 1]
[613 1]
[210631 1]
[2071723 1]
[52986961 1]
[5363222357 1]
[13168164561429877 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.155s
user 0m0.130s
sys 0m0.030s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:10:04 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 11)
Output:
[11 1]
[53 1]
[79 1]
[101 1]
[521 1]
[859 1]
[265371653 1]
[1058313049 1]
[1900381976777332243781 1]
Errors (if any) and Timing Info:
Timing:
real 0m1.112s
user 0m1.040s
sys 0m0.080s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:10:28 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 111)
Output:
[107 1]
[1659431 1]
[1325815267337711173 1]
[47198858799491425660200071 1]
Errors (if any) and Timing Info:
Timing:
real 0m3.484s
user 0m3.370s
sys 0m0.110s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:10:53 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111)
Output:
[3 3]
[7 1]
[11 1]
[13 1]
[19 1]
[37 1]
[757 1]
[52579 1]
[333667 1]
[70541929 1]
[14175966169 1]
[440334654777631 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.148s
user 0m0.130s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:11:10 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 11111)
Output:
[41 1]
[271 1]
[1321 1]
[21649 1]
[62921 1]
[513239 1]
[83251631 1]
[1300635692678058358830121 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.297s
user 0m0.230s
sys 0m0.080s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:11:27 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 111111)
Output:
[11 1]
[29 1]
[73 1]
[101 1]
[137 1]
[239 1]
[281 1]
[4649 1]
[7841 1]
[909091 1]
[121499449 1]
[127522001020150503761 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.122s
user 0m0.100s
sys 0m0.030s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:11:44 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111)
Output:
[3 1]
[37 1]
[21319 1]
[10749631 1]
[1111111111111111111 1]
[3931123022305129377976519 1]
Errors (if any) and Timing Info:
Timing:
real 0m1.613s
user 0m1.550s
sys 0m0.060s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:00 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 11111111)
Output:
[11 1]
[59 1]
[3191 1]
[16763 1]
[43037 1]
[62003 1]
[77843839397 1]
[154083204930662557781201849 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.598s
user 0m0.510s
sys 0m0.090s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:18 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 111111111)
Output:
[2559647034361 1]
[4340876285657460212144534289928559826755746751 1]
Errors (if any) and Timing Info:
Timing:
real 0m4.243s
user 0m4.230s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:32 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111)
Output:
[3 1]
[7 1]
[11 1]
[13 1]
[31 1]
[37 1]
[41 1]
[61 1]
[101 1]
[211 1]
[241 1]
[271 1]
[2161 1]
[3541 1]
[9091 1]
[9901 1]
[27961 1]
[2906161 1]
[4188901 1]
[39526741 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:12:45 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1)
Output:
[733 1]
[4637 1]
[329401 1]
[974293 1]
[1360682471 1]
[106007173861643 1]
[7061709990156159479 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.479s
user 0m0.450s
sys 0m0.040s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:08 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 11)
Output:
[11 1]
[2791 1]
[6943319 1]
[57336415063790604359 1]
[909090909090909090909090909091 1]
Errors (if any) and Timing Info:
Timing:
real 0m10.689s
user 0m10.520s
sys 0m0.180s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:24 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111)
Output:
[3 2]
[37 1]
[43 1]
[239 1]
[1933 1]
[4649 1]
[10837 1]
[23311 1]
[45613 1]
[333667 1]
[10838689 1]
[45121231 1]
[1921436048294281 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.164s
user 0m0.140s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:36 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111)
Output:
[11 1]
[17 1]
[73 1]
[101 1]
[137 1]
[353 1]
[449 1]
[641 1]
[1409 1]
[19841 1]
[69857 1]
[976193 1]
[5882353 1]
[6187457 1]
[834427406578561 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.116s
user 0m0.090s
sys 0m0.030s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:13:51 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 11111)
Output:
[41 1]
[53 1]
[79 1]
[271 1]
[265371653 1]
[162503518711 1]
[5538396997364024056286510640780600481 1]
Errors (if any) and Timing Info:
Timing:
real 0m1.127s
user 0m1.020s
sys 0m0.110s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:14:07 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 111111)
Output:
[3 1]
[7 1]
[11 2]
[13 1]
[23 1]
[37 1]
[67 1]
[4093 1]
[8779 1]
[21649 1]
[513239 1]
[599144041 1]
[183411838171 1]
[1344628210313298373 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.726s
user 0m0.680s
sys 0m0.050s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:14:42 2004
Input: factor(1111111111 1111111111 1111111111 1111111111 1111111111 1111111111 1111111)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.997s
user 0m20.920s
sys 0m0.080s
************** PARI *****************
Host 66-214-63-34.vv-cres.charterpipeline.net. (66.214.63.34)
Time: Sat May 22 23:19:13 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sat May 22 23:19:14 2004
Input: 2*4*5*10*3541*27961
Output: 39603960400
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip68-102-105-123.ks.ok.cox.net. (68.102.105.123)
Time: Sat May 22 23:42:36 2004
Input: x + 1 = 13
Output:
Errors (if any) and Timing Info: *** unexpected character: x+1=13
^---
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 77.218.203.62.cust.bluewin.ch. (62.203.218.77)
Time: Sun May 23 13:58:23 2004
Input: Pi
Output: 3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.082s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host SHASTA087178.ig.com.br. (200.151.87.178)
Time: Sun May 23 14:26:58 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host SHASTA087178.ig.com.br. (200.151.87.178)
Time: Sun May 23 14:27:09 2004
Input: 2212
Output: 2212
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:50:14 2004
Input: padicappr(3*x^3+4*y^3+5*z^3,2);
Output:
Errors (if any) and Timing Info: *** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:50:25 2004
Input: padicappr(3*x^3+4*y^3+5*z^3,3);
Output:
Errors (if any) and Timing Info: *** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:55:46 2004
Input: apprgen(3*x^3+4*y^3+5*z^3, t_PADIC);
padicappr(3*x^3+4*y^3+5*z^3,3);
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: apprgen(3*x^3+4*y^3+
^--------------------
*** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:07 2004
Input: factor(x^15-1);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:18 2004
Input: factor(x^15-1)
Output:
[x - 1 1]
[x^2 + x + 1 1]
[x^4 + x^3 + x^2 + x + 1 1]
[x^8 - x^7 + x^5 - x^4 + x^3 - x + 1 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:27 2004
Input: apprgen(3*x^3+4*y^3+5*z^3, t_PADIC)
padicappr(3*x^3+4*y^3+5*z^3,3)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: apprgen(3*x^3+4*y^3+
^--------------------
*** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:57:32 2004
Input:
padicappr(3*x^3+4*y^3+5*z^3,3)
Output:
Errors (if any) and Timing Info: *** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 16:59:58 2004
Input: pol:=3*x^3+4*y^3+5*z^3
padicappr(pol,3,10)
Output:
Errors (if any) and Timing Info: *** unexpected character: pol:=3*x^3+4*y^3+5*z^3
^------------------
*** expected character: ')' instead of: padicappr(pol,3,10)
^----
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:00:16 2004
Input: pol:=3*x^3+4*y^3+5*z^3
padicappr(pol,3)
Output:
Errors (if any) and Timing Info: *** unexpected character: pol:=3*x^3+4*y^3+5*z^3
^------------------
*** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:01:56 2004
Input: pol:=3*x^3+4*x+2
padicappr(pol,3)
Output:
Errors (if any) and Timing Info: *** unexpected character: pol:=3*x^3+4*x+2
^------------
*** incorrect type(s) or zero polynomial in rootpadic or factorpadic
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:02:22 2004
Input: pol:=3*x^3+4*x+2
factorpadic(pol,3)
Output:
Errors (if any) and Timing Info: *** unexpected character: pol:=3*x^3+4*x+2
^------------
*** expected character: ',' instead of: factorpadic(pol,3)
^-
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:03:24 2004
Input: pol:=3*x^3+4*x+2
factorpadic(pol,3,10)
Output:
[(1 + O(3^10))*pol 1]
Errors (if any) and Timing Info: *** unexpected character: pol:=3*x^3+4*x+2
^------------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:03:34 2004
Input: pol:=3x^3+4x+2
factorpadic(pol,3,10)
Output:
[(1 + O(3^10))*pol 1]
Errors (if any) and Timing Info: *** unexpected character: pol:=3x^3+4x+2
^----------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host SCI-22.MIT.EDU. (18.51.1.154)
Time: Sun May 23 17:03:57 2004
Input: pol:=3*x^3+4*y^3+5*z^3
Output:
Errors (if any) and Timing Info: *** unexpected character: pol:=3*x^3+4*y^3+5*z^3
^------------------
Timing:
real 0m0.059s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Mon May 24 04:31:52 2004
Input: A := QuaternionAlgebra< RationalField() | -2, -5>;
RamifiedPrimes(A);
Discriminant(A);
IsDefinite(A);
Norm(a + b*i + c*j + d*k);
Output:
Errors (if any) and Timing Info: *** unused characters: A:=QuaternionAlg
^--------------------
*** expected character: '=' instead of: RamifiedPrimes(A);
^-
*** expected character: '=' instead of: Discriminant(A);
^-
*** expected character: '=' instead of: IsDefinite(A);
^-
*** expected character: ',' instead of: Norm(a+b*i+c*j+d*k);
^--------------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host aula-b-siee89.uab.es. (158.109.66.89)
Time: Mon May 24 05:44:13 2004
Input: p:=2;
m:=3;
F:=GF(p,m);
n:=#F-1;
d:=3;
b:=5;
C:=ReedSolomonCode(F,d);
matriu:=Matrix([Random(C):i in [1..b]]);
informacio_per_files:=[matriu[i,j]: j in [1..n],i in [1..b]];
InformacioEnviadaPerColumnes:=function(p,m,b,informacio)
return [informacio[l*((p^m)-1)+n+1]:l in [0..(b-1)],n in [0..((p^m)-2)] ];
end function;
iec:=InformacioEnviadaPerColumnes(p,m,b,informacio_per_files);
iec;
Aux1:=function (tira,raf,iraf,pos)
if pos ge iraf and pos lt iraf+#raf then return (tira[pos]+raf[1+pos-iraf]); else return tira[pos]; end if;
end function;
InformacioRebudaPerFiles:=function (p,m,b,infor_per_cols,rafega,principi_rafega)
iae:=[Aux1(infor_per_cols,rafega,principi_rafega,k):k in [1..#infor_per_cols]];
return [iae[l*(p^m-1)+n+1]:l in [0..b-1],n in [0..p^m-2]];
end function;
Output:
Errors (if any) and Timing Info: *** unexpected character: p:=2;
^---
*** unexpected character: m:=3;
^---
*** unexpected character: F:=GF(p,m);
^----------
*** unexpected character: n:=#F-1;
^------
*** unexpected character: d:=3;
^---
*** unexpected character: b:=5;
^---
*** unexpected character: C:=ReedSolomonCode(F,d
^--------------------
*** unexpected character: matriu:=Matrix([Random(C):i
^--------------------
*** unexpected character: informacio_per_files:=[matriu[i,j]:jin[1.
^--------------------
*** unexpected character: ...rmacioEnviadaPerColumnes:=function(p,m,b,info
^--------------------
*** expected character: ']' instead of: ...formacio[l*((p^m)-1)+n+1]
*** :lin[0..(b-1)],nin[0
^--------------------
*** unexpected character: iec:=InformacioEnviadaPe
^--------------------
*** unexpected character: Aux1:=function(tira,raf,i
^--------------------
*** unexpected character: ifposgeirafandposltiraf+#rafthenreturn(tira[
^--------------------
*** unexpected character: InformacioRebudaPerFiles:=function(p,m,b,info
^--------------------
*** unexpected character: iae:=[Aux1(infor_per_col
^--------------------
*** expected character: ']' instead of: return[iae[l*(p^m-1)+n+1]
*** :lin[0..b-1],nin[0..
^--------------------
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (80.191.161.131)
Time: Mon May 24 06:45:07 2004
Input: factor(2^128+1)
;
Output:
[59649589127497217 1]
[5704689200685129054721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.725s
user 0m0.620s
sys 0m0.080s
************** PARI *****************
Host 3(NXDOMAIN) (80.191.161.131)
Time: Mon May 24 06:47:51 2004
Input: factor(2^128+1)
;100!
Output:
[59649589127497217 1]
[5704689200685129054721 1]
93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.689s
user 0m0.620s
sys 0m0.060s
************** PARI *****************
Host super.math.uu.nl. (131.211.23.11)
Time: Tue May 25 08:57:17 2004
Input: 2^1000
Output: 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host181-31.pool8251.interbusiness.it. (82.51.31.181)
Time: Wed May 26 13:53:18 2004
Input: n1=2*2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.117s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host pcp04423503pcs.nrockv01.md.comcast.net. (69.140.129.60)
Time: Wed May 26 19:48:25 2004
Input: Integrate[x, {x, 0, 2}];
Output:
Errors (if any) and Timing Info: *** unexpected character: Integrate[x,{x,0,2}];
^---------
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 69-162-40-105.stcgpa.adelphia.net. (69.162.40.105)
Time: Thu May 27 04:44:34 2004
Input: A := QuaternionAlgebra(3);
i^2;
j^2;
i*j;
k^2;
Output:
Errors (if any) and Timing Info: *** unused characters: A:=QuaternionAlg
^--------------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host cache.tpu.ee. (193.40.239.25)
Time: Thu May 27 05:04:11 2004
Input: 23+56
Output: 79
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host proxy310.docomo.ne.jp. (210.136.161.202)
Time: Thu May 27 11:56:46 2004
Input: qfbclassno(-23)
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.214s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (200.55.145.12)
Time: Fri May 28 13:59:36 2004
Input: plot[x,{x,1,2}]
Output: WARNING: PARI command contains unsafe command 'plot', so it will not be executed.
************** PARI *****************
Host n171h140.dhcp.kanazawa-it.ac.jp. (202.13.171.140)
Time: Sat May 29 01:57:31 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host spb-213-33-246-76.ppp.sovintel.spb.ru. (213.33.246.76)
Time: Sat May 29 11:24:10 2004
Input: K := GF(19);
E := EllipticCurve(K 17);
E;
Output:
Errors (if any) and Timing Info: *** unexpected character: K:=GF(19);
^--------
*** unexpected character: E:=EllipticCurve(K17);
^--------------------
Timing:
real 0m0.132s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:12:41 2004
Input: 2 + 2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:12:42 2004
Input: 2 + 2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:13:10 2004
Input: y = mx + b
Output: mx + b
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dialup-4.232.150.76.Dial1.LosAngeles1.Level3.net. (4.232.150.76)
Time: Sat May 29 21:14:24 2004
Input: 3 / 2
Output: 3/2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 03:50:57 2004
Input: 20050118^16+1
Output: 682135931108970548974010942029530037099461652644123268717032552543629498618274807845196084194997771440079337622142977
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 05:39:14 2004
Input: Phi(3,-1905473^8192)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Phi(3,-1905473^8192)
^--------------------
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:45:47 2004
Input: factor(11111111111111111)
Output:
[2071723 1]
[5363222357 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.622s
user 0m0.090s
sys 0m0.090s
************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:46:16 2004
Input: 1111*2222222222222
Output: 2468888888888642
Errors (if any) and Timing Info:
Timing:
real 0m0.094s
user 0m0.060s
sys 0m0.040s
************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:47:05 2004
Input: 1111*2222222^222222
Output:
Errors (if any) and Timing Info:
Timing:
real 0m24.555s
user 0m19.950s
sys 0m1.060s
************** PARI *****************
Host i114023.ap.plala.or.jp. (218.47.114.23)
Time: Sun May 30 10:47:17 2004
Input: 1111*2222222^222
Output: 107777066693282849251305616981565773271499684846448256240638137970396352386771454947055850745107378193140349834641501090867691765590411727357842658725857071752734303841214354273611801615501626005240647978661965803566585008153398909032496460193431689057680941987939050954162475098787688202162483615032702438451432476830106145030976685780013357304433158089225491109727713458387556022506458389996934187687666271774522297976617067934577589047485309087506961570312008245170575406540386300377046223770895476920652580796612558517300527477721887390362647623390726978686567733036834772039585338869122987754141523954640081916996329233158987174880945804842873295066077754786351361838791186570010813768503973487650314710577994460035356272059571418116079840294944339508147324046768800147504630529835898583827938905448793172164234696552864895292218024269982578907581389180345671247088807953470795070053698297393119423464295176596053286345775164721181924175699299018865387023350390885654324144138014515911669468615798977121913237422345334218756896581908083743524961506316866249693272098409160904153169416974624279019115467631617199666403859049102503404771095237109692702270020112764460315026443397082586274059257469432206757701331829714255215520739669012594995603775948331285644435638649566075130591710722561074279505452281923245734438226815553394502209587138195873552224056590751099194459931969727306111540524590784399093530624
Errors (if any) and Timing Info:
Timing:
real 0m0.160s
user 0m0.070s
sys 0m0.050s
************** PARI *****************
Host poltek.malang.indo.net.id. (202.53.244.150)
Time: Mon May 31 02:52:56 2004
Input: 1+1
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ANancy-114-1-11-86.w81-251.abo.wanadoo.fr. (81.251.254.86)
Time: Mon May 31 03:27:38 2004
Input: 1000!
Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-87-110.client.comcast.net. (24.6.87.110)
Time: Mon May 31 21:26:04 2004
Input: factor(532)
Output:
[2 2]
[7 1]
[19 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.219s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (220.192.145.96)
Time: Tue Jun 1 05:34:27 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host rowmp1.pu.kielce.pl. (81.26.8.33)
Time: Tue Jun 1 08:08:01 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (169.203.114.141)
Time: Tue Jun 1 11:44:01 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (207.175.61.153)
Time: Tue Jun 1 13:39:06 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host gw.braemarcollege.com. (216.191.69.198)
Time: Tue Jun 1 14:37:04 2004
Input: 1+23+7
Output: 31
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host BSN-250-63-77.dsl.siol.net. (213.250.63.77)
Time: Tue Jun 1 15:37:50 2004
Input: aa
Output: aa
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host BSN-250-63-77.dsl.siol.net. (213.250.63.77)
Time: Tue Jun 1 15:38:09 2004
Input: 2-4
Output: -2
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-18-146-87.client.comcast.net. (24.18.146.87)
Time: Tue Jun 1 18:52:42 2004
Input: (x + x^2 + x^3)^6
Output: x^18 + 6*x^17 + 21*x^16 + 50*x^15 + 90*x^14 + 126*x^13 + 141*x^12 + 126*x^11 + 90*x^10 + 50*x^9 + 21*x^8 + 6*x^7 + x^6
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-18-146-87.client.comcast.net. (24.18.146.87)
Time: Tue Jun 1 18:54:34 2004
Input: (1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14)^2 * (x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9 + x^10 + x^11 + x^12 + x^13 + x^14)
Output: x^42 + 3*x^41 + 6*x^40 + 10*x^39 + 15*x^38 + 21*x^37 + 28*x^36 + 36*x^35 + 45*x^34 + 55*x^33 + 66*x^32 + 78*x^31 + 90*x^30 + 102*x^29 + 114*x^28 + 124*x^27 + 132*x^26 + 138*x^25 + 142*x^24 + 144*x^23 + 144*x^22 + 142*x^21 + 138*x^20 + 132*x^19 + 124*x^18 + 114*x^17 + 102*x^16 + 90*x^15 + 78*x^14 + 66*x^13 + 55*x^12 + 45*x^11 + 36*x^10 + 28*x^9 + 21*x^8 + 15*x^7 + 10*x^6 + 6*x^5 + 3*x^4 + x^3
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host HSE-Ottawa-ppp238725.sympatico.ca. (64.230.82.16)
Time: Wed Jun 2 00:53:37 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host geo.math.u-psud.fr. (129.175.50.56)
Time: Wed Jun 2 04:36:27 2004
Input: Pi
Output: 3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host btm8x5.mat.uni-bayreuth.de. (132.180.16.84)
Time: Wed Jun 2 08:50:32 2004
Input: Q:=RationalField();
V:=VectorSpace(Q,6);
Output:
Errors (if any) and Timing Info: *** unexpected character: Q:=RationalField();
^-----------------
*** unexpected character: V:=VectorSpace(Q,6);
^------------------
Timing:
real 0m0.105s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dC8544670.dslam-05-12-4-03-01-01.cao.dsl.cantv.net. (200.84.70.112)
Time: Wed Jun 2 17:45:03 2004
Input: 12333321111
Output: 12333321111
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dC8544670.dslam-05-12-4-03-01-01.cao.dsl.cantv.net. (200.84.70.112)
Time: Wed Jun 2 17:45:21 2004
Input: 12333
Output: 12333
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host82-117.pool80182.interbusiness.it. (80.182.117.82)
Time: Wed Jun 2 19:17:22 2004
Input: 8*9
Output: 72
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ajarrah.bioinformatics.vt.edu. (128.173.99.77)
Time: Thu Jun 3 09:39:42 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host proxy.lookic.com. (64.80.121.101)
Time: Thu Jun 3 13:40:58 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-2-205-33.client.comcast.net. (24.2.205.33)
Time: Thu Jun 3 14:17:21 2004
Input: for(i=1,10^6, print([i,i^2]););
Output: [1, 1]
[2, 4]
[3, 9]
[4, 16]
[5, 25]
[6, 36]
[7, 49]
[8, 64]
[9, 81]
[10, 100]
[11, 121]
[12, 144]
[13, 169]
[14, 196]
[15, 225]
[16, 256]
[17, 289]
[18, 324]
[19, 361]
[20, 400]
[21, 441]
[22, 484]
[23, 529]
[24, 576]
[25, 625]
[26, 676]
[27, 729]
[28, 784]
[29, 841]
[30, 900]
[31, 961]
[32, 1024]
[33, 1089]
[34, 1156]
[35, 1225]
[36, 1296]
[37, 1369]
[38, 1444]
[39, 1521]
[40, 1600]
[41, 1681]
[42, 1764]
[43, 1849]
[44, 1936]
[45, 2025]
[46, 2116]
[47, 2209]
[48, 2304]
[49, 2401]
[50, 2500]
[51, 2601]
[52, 2704]
[53, 2809]
[54, 2916]
[55, 3025]
[56, 3136]
[57, 3249]
[58, 3364]
[59, 3481]
[60, 3600]
[61, 3721]
[62, 3844]
[63, 3969]
[64, 4096]
[65, 4225]
[66, 4356]
[67, 4489]
[68, 4624]
[69, 4761]
[70, 4900]
[71, 5041]
[72, 5184]
[73, 5329]
[74, 5476]
[75, 5625]
[76, 5776]
[77, 5929]
[78, 6084]
[79, 6241]
[80, 6400]
[81, 6561]
[82, 6724]
[83, 6889]
[84, 7056]
[85, 7225]
[86, 7396]
[87, 7569]
[88, 7744]
[89, 7921]
[90, 8100]
[91, 8281]
[92, 8464]
[93, 8649]
[94, 8836]
[95, 9025]
[96, 9216]
[97, 9409]
[98, 9604]
[99, 9801]
[100, 10000]
[101, 10201]
[102, 10404]
[103, 10609]
[104, 10816]
[105, 11025]
[106, 11236]
[107, 11449]
[108, 11664]
[109, 11881]
[110, 12100]
[111, 12321]
[112, 12544]
[113, 12769]
[114, 12996]
[115, 13225]
[116, 13456]
[117, 13689]
[118, 13924]
[119, 14161]
[120, 14400]
[121, 14641]
[122, 14884]
[123, 15129]
[124, 15376]
[125, 15625]
[126, 15876]
[127, 16129]
[128, 16384]
[129, 16641]
[130, 16900]
[131, 17161]
[132, 17424]
[133, 17689]
[134, 17956]
[135, 18225]
[136, 18496]
[137, 18769]
[138, 19044]
[139, 19321]
[140, 19600]
[141, 19881]
[142, 20164]
[143, 20449]
[144, 20736]
[145, 21025]
[146, 21316]
[147, 21609]
[148, 21904]
[149, 22201]
[150, 22500]
[151, 22801]
[152, 23104]
[153, 23409]
[154, 23716]
[155, 24025]
[156, 24336]
[157, 24649]
[158, 24964]
[159, 25281]
[160, 25600]
[161, 25921]
[162, 26244]
[163, 26569]
[164, 26896]
[165, 27225]
[166, 27556]
[167, 27889]
[168, 28224]
[169, 28561]
[170, 28900]
[171, 29241]
[172, 29584]
[173, 29929]
[174, 30276]
[175, 30625]
[176, 30976]
[177, 31329]
[178, 31684]
[179, 32041]
[180, 32400]
[181, 32761]
[182, 33124]
[183, 33489]
[184, 33856]
[185, 34225]
[186, 34596]
[187, 34969]
[188, 35344]
[189, 35721]
[190, 36100]
[191, 36481]
[192, 36864]
[193, 37249]
[194, 37636]
[195, 38025]
[196, 38416]
[197, 38809]
[198, 39204]
[199, 39601]
[200, 40000]
[201, 40401]
[202, 40804]
[203, 41209]
[204, 41616]
[205, 42025]
[206, 42436]
[207, 42849]
[208, 43264]
[209, 43681]
[210, 44100]
[211, 44521]
[212, 44944]
[213, 45369]
[214, 45796]
[215, 46225]
[216, 46656]
[217, 47089]
[218, 47524]
[219, 47961]
[220, 48400]
[221, 48841]
[222, 49284]
[223, 49729]
[224, 50176]
[225, 50625]
[226, 51076]
[227, 51529]
[228, 51984]
[229, 52441]
[230, 52900]
[231, 53361]
[232, 53824]
[233, 54289]
[234, 54756]
[235, 55225]
[236, 55696]
[237, 56169]
[238, 56644]
[239, 57121]
[240, 57600]
[241, 58081]
[242, 58564]
[243, 59049]
[244, 59536]
[245, 60025]
[246, 60516]
[247, 61009]
[248, 61504]
[249, 62001]
[250, 62500]
[251, 63001]
[252, 63504]
[253, 64009]
[254, 64516]
[255, 65025]
[256, 65536]
[257, 66049]
[258, 66564]
[259, 67081]
[260, 67600]
[261, 68121]
[262, 68644]
[263, 69169]
[264, 69696]
[265, 70225]
[266, 70756]
[267, 71289]
[268, 71824]
[269, 72361]
[270, 72900]
[271, 73441]
[272, 73984]
[273, 74529]
[274, 75076]
[275, 75625]
[276, 76176]
[277, 76729]
[278, 77284]
[279, 77841]
[280, 78400]
[281, 78961]
[282, 79524]
[283, 80089]
[284, 80656]
[285, 81225]
[286, 81796]
[287, 82369]
[288, 82944]
[289, 83521]
[290, 84100]
[291, 84681]
[292, 85264]
[293, 85849]
[294, 86436]
[295, 87025]
[296, 87616]
[297, 88209]
[298, 88804]
[299, 89401]
[300, 90000]
[301, 90601]
[302, 91204]
[303, 91809]
[304, 92416]
[305, 93025]
[306, 93636]
[307, 94249]
[308, 94864]
[309, 95481]
[310, 96100]
[311, 96721]
[312, 97344]
[313, 97969]
[314, 98596]
[315, 99225]
[316, 99856]
[317, 100489]
[318, 101124]
[319, 101761]
[320, 102400]
[321, 103041]
[322, 103684]
[323, 104329]
[324, 104976]
[325, 105625]
[326, 106276]
[327, 106929]
[328, 107584]
[329, 108241]
[330, 108900]
[331, 109561]
[332, 110224]
[333, 110889]
[334, 111556]
[335, 112225]
[336, 112896]
[337, 113569]
[338, 114244]
[339, 114921]
[340, 115600]
[341, 116281]
[342, 116964]
[343, 117649]
[344, 118336]
[345, 119025]
[346, 119716]
[347, 120409]
[348, 121104]
[349, 121801]
[350, 122500]
[351, 123201]
[352, 123904]
[353, 124609]
[354, 125316]
[355, 126025]
[356, 126736]
[357, 127449]
[358, 128164]
[359, 128881]
[360, 129600]
[361, 130321]
[362, 131044]
[363, 131769]
[364, 132496]
[365, 133225]
[366, 133956]
[367, 134689]
[368, 135424]
[369, 136161]
[370, 136900]
[371, 137641]
[372, 138384]
[373, 139129]
[374, 139876]
[375, 140625]
[376, 141376]
[377, 142129]
[378, 142884]
[379, 143641]
[380, 144400]
[381, 145161]
[382, 145924]
[383, 146689]
[384, 147456]
[385, 148225]
[386, 148996]
[387, 149769]
[388, 150544]
[389, 151321]
[390, 152100]
[391, 152881]
[392, 153664]
[393, 154449]
[394, 155236]
[395, 156025]
[396, 156816]
[397, 157609]
[398, 158404]
[399, 159201]
[400, 160000]
[401, 160801]
[402, 161604]
[403, 162409]
[404, 163216]
[405, 164025]
[406, 164836]
[407, 165649]
[408, 166464]
[409, 167281]
[410, 168100]
[411, 168921]
[412, 169744]
[413, 170569]
[414, 171396]
[415, 172225]
[416, 173056]
[417, 173889]
[418, 174724]
[419, 175561]
[420, 176400]
[421, 177241]
[422, 178084]
[423, 178929]
[424, 179776]
[425, 180625]
[426, 181476]
[427, 182329]
[428, 183184]
[429, 184041]
[430, 184900]
[431, 185761]
[432, 186624]
[433, 187489]
[434, 188356]
[435, 189225]
[436, 190096]
[437, 190969]
[438, 191844]
[439, 192721]
[440, 193600]
[441, 194481]
[442, 195364]
[443, 196249]
[444, 197136]
[445, 198025]
[446, 198916]
[447, 199809]
[448, 200704]
[449, 201601]
[450, 202500]
[451, 203401]
[452, 204304]
[453, 205209]
[454, 206116]
[455, 207025]
[456, 207936]
[457, 208849]
[458, 209764]
[459, 210681]
[460, 211600]
[461, 212521]
[462, 213444]
[463, 214369]
[464, 215296]
[465, 216225]
[466, 217156]
[467, 218089]
[468, 219024]
[469, 219961]
[470, 220900]
[471, 221841]
[472, 222784]
[473, 223729]
[474, 224676]
[475, 225625]
[476, 226576]
[477, 227529]
[478, 228484]
[479, 229441]
[480, 230400]
[481, 231361]
[482, 232324]
[483, 233289]
[484, 234256]
[485, 235225]
[486, 236196]
[487, 237169]
[488, 238144]
[489, 239121]
[490, 240100]
[491, 241081]
[492, 242064]
[493, 243049]
[494, 244036]
[495, 245025]
[496, 246016]
[497, 247009]
[498, 248004]
[499, 249001]
[500, 250000]
[501, 251001]
[502, 252004]
[503, 253009]
[504, 254016]
[505, 255025]
[506, 256036]
[507, 257049]
[508, 258064]
[509, 259081]
[510, 260100]
[511, 261121]
[512, 262144]
[513, 263169]
[514, 264196]
[515, 265225]
[516, 266256]
[517, 267289]
[518, 268324]
[519, 269361]
[520, 270400]
[521, 271441]
[522, 272484]
[523, 273529]
[524, 274576]
[525, 275625]
[526, 276676]
[527, 277729]
[528, 278784]
[529, 279841]
[530, 280900]
[531, 281961]
[532, 283024]
[533, 284089]
[534, 285156]
[535, 286225]
[536, 287296]
[537, 288369]
[538, 289444]
[539, 290521]
[540, 291600]
[541, 292681]
[542, 293764]
[543, 294849]
[544, 295936]
[545, 297025]
[546, 298116]
[547, 299209]
[548, 300304]
[549, 301401]
[550, 302500]
[551, 303601]
[552, 304704]
[553, 305809]
[554, 306916]
[555, 308025]
[556, 309136]
[557, 310249]
[558, 311364]
[559, 312481]
[560, 313600]
[561, 314721]
[562, 315844]
[563, 316969]
[564, 318096]
[565, 319225]
[566, 320356]
[567, 321489]
[568, 322624]
[569, 323761]
[570, 324900]
[571, 326041]
[572, 327184]
[573, 328329]
[574, 329476]
[575, 330625]
[576, 331776]
[577, 332929]
[578, 334084]
[579, 335241]
[580, 336400]
[581, 337561]
[582, 338724]
[583, 339889]
[584, 341056]
[585, 342225]
[586, 343396]
[587, 344569]
[588, 345744]
[589, 346921]
[590, 348100]
[591, 349281]
[592, 350464]
[593, 351649]
[594, 352836]
[595, 354025]
[596, 355216]
[597, 356409]
[598, 357604]
[599, 358801]
[600, 360000]
[601, 361201]
[602, 362404]
[603, 363609]
[604, 364816]
[605, 366025]
[606, 367236]
[607, 368449]
[608, 369664]
[609, 370881]
[610, 372100]
[611, 373321]
[612, 374544]
[613, 375769]
[614, 376996]
[615, 378225]
[616, 379456]
[617, 380689]
[618, 381924]
[619, 383161]
[620, 384400]
[621, 385641]
[622, 386884]
[623, 388129]
[624, 389376]
[625, 390625]
[626, 391876]
[627, 393129]
[628, 394384]
[629, 395641]
[630, 396900]
[631, 398161]
[632, 399424]
[633, 400689]
[634, 401956]
[635, 403225]
[636, 404496]
[637, 405769]
[638, 407044]
[639, 408321]
[640, 409600]
[641, 410881]
[642, 412164]
[643, 413449]
[644, 414736]
[645, 416025]
[646, 417316]
[647, 418609]
[648, 419904]
[649, 421201]
[650, 422500]
[651, 423801]
[652, 425104]
[653, 426409]
[654, 427716]
[655, 429025]
[656, 430336]
[657, 431649]
[658, 432964]
[659, 434281]
[660, 435600]
[661, 436921]
[662, 438244]
[663, 439569]
[664, 440896]
[665, 442225]
[666, 443556]
[667, 444889]
[668, 446224]
[669, 447561]
[670, 448900]
[671, 450241]
[672, 451584]
[673, 452929]
[674, 454276]
[675, 455625]
[676, 456976]
[677, 458329]
[678, 459684]
[679, 461041]
[680, 462400]
[681, 463761]
[682, 465124]
[683, 466489]
[684, 467856]
[685, 469225]
[686, 470596]
[687, 471969]
[688, 473344]
[689, 474721]
[690, 476100]
[691, 477481]
[692, 478864]
[693, 480249]
[694, 481636]
[695, 483025]
[696, 484416]
[697, 485809]
[698, 487204]
[699, 488601]
[700, 490000]
[701, 491401]
[702, 492804]
[703, 494209]
[704, 495616]
[705, 497025]
[706, 498436]
[707, 499849]
[708, 501264]
[709, 502681]
[710, 504100]
[711, 505521]
[712, 506944]
[713, 508369]
[714, 509796]
[715, 511225]
[716, 512656]
[717, 514089]
[718, 515524]
[719, 516961]
[720, 518400]
[721, 519841]
[722, 521284]
[723, 522729]
[724, 524176]
[725, 525625]
[726, 527076]
[727, 528529]
[728, 529984]
[729, 531441]
[730, 532900]
[731, 534361]
[732, 535824]
[733, 537289]
[734, 538756]
[735, 540225]
[736, 541696]
[737, 543169]
[738, 544644]
[739, 546121]
[740, 547600]
[741, 549081]
[742, 550564]
[743, 552049]
[744, 553536]
[745, 555025]
[746, 556516]
[747, 558009]
[748, 559504]
[749, 561001]
[750, 562500]
[751, 564001]
[752, 565504]
[753, 567009]
[754, 568516]
[755, 5700
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m14.576s
user 0m12.020s
sys 0m2.560s
************** PARI *****************
Host 3(NXDOMAIN) (61.95.231.10)
Time: Fri Jun 4 03:54:53 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 159-134-232-210.as1.cbr.castlebar.eircom.net. (159.134.232.210)
Time: Fri Jun 4 06:07:59 2004
Input: sqrt(25195908475657893494027183240048398571429282126204032027777137836043662020707595556264018525880784406918290641249515082189298559149176184502808489120072844992687392807287776735971418347270261896375014971824691165077613379859095700097330459748808428401797429100642458691817195118746121515172654632282216869987549182422433637259085141865462043576798423387184774447920739934236584823824281198163815010674810451660377306056201619676256133844143603833904414952634432190114657544454178424020924616515723350778707749817125772467962926386356373289912154831438167899885040445364023527381951378636564391212010397122822120720357)
Output: 1.587321910503912041744825086 E308
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dns22b.dfas.mil. (207.133.248.241)
Time: Fri Jun 4 10:25:24 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (83.130.186.80)
Time: Fri Jun 4 11:21:29 2004
Input: 124
Output: 124
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (83.130.186.80)
Time: Fri Jun 4 11:22:04 2004
Input: factor(124)
Output:
[2 2]
[31 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dsl-201-129-65-105.prod-infinitum.com.mx. (201.129.65.105)
Time: Fri Jun 4 19:03:30 2004
Input: 25*5
Output: 125
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dsl-201-129-65-105.prod-infinitum.com.mx. (201.129.65.105)
Time: Fri Jun 4 19:03:56 2004
Input: 25*5
Output: 125
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host h-64-236-139-249.aoltw.net. (64.236.139.249)
Time: Fri Jun 4 20:07:14 2004
Input: a(x):=when(x<=1) 1; a(x-1); a(4);
Output:
Errors (if any) and Timing Info: *** unexpected character: a(x):=when(x<=1)1;a(x-1);
^--------------------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE000d8801ce25-CM014190003075.cpe.net.cable.rogers.com. (24.157.75.144)
Time: Fri Jun 4 22:30:47 2004
Input: 2^811-1
Output: 13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866047
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE000d8801ce25-CM014190003075.cpe.net.cable.rogers.com. (24.157.75.144)
Time: Fri Jun 4 22:31:07 2004
Input: factor(124151259832985239581)
Output:
[3 1]
[29 1]
[59 1]
[109 1]
[221897990217973 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host srv1.zkma.net. (62.4.22.190)
Time: Sat Jun 5 01:15:45 2004
Input: P3 := PolynomialRing(GF(3));
f:=2*x^3+x^2+2*x+1;
Parent(f);
Output:
Errors (if any) and Timing Info: *** unexpected character: P3:=PolynomialRing(GF(
^--------------------
*** unexpected character: f:=2*x^3+x^2+2*x+1;
^-----------------
*** expected character: '=' instead of: Parent(f);
^-
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host math.u-strasbg.fr. (130.79.4.9)
Time: Sat Jun 5 02:13:27 2004
Input: 2^34
Output: 17179869184
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.135.247.69)
Time: Sat Jun 5 14:52:17 2004
Input: solve(x^3-x+1/8=0, x)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: solve(x^3-x+1/8=0,x)
^-------------
Timing:
real 0m0.079s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.135.247.69)
Time: Sat Jun 5 14:53:53 2004
Input: solve(x=0,1x^3-x+1/8)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: solve(x=0,1x^3-x+1/8)
^----------
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.135.247.69)
Time: Sat Jun 5 14:54:03 2004
Input: solve(x=0,1, x^3-x+1/8)
Output:
Errors (if any) and Timing Info: *** roots must be bracketed in solve.
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host doc.its.unimelb.edu.au. (128.250.6.243)
Time: Sun Jun 6 06:24:28 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host doc.its.unimelb.edu.au. (128.250.6.243)
Time: Sun Jun 6 06:24:29 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host doc.its.unimelb.edu.au. (128.250.6.243)
Time: Sun Jun 6 06:24:33 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun 6 07:01:51 2004
Input: p 200
x=9999999999999999999999999999999840610140220260340380460580620741
sqrt(x)
Output: p200
9999999999999999999999999999999840610140220260340380460580620741
9.999999999999999999999999999 E31
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun 6 07:02:27 2004
Input: p400
x=9999999999999999999999999999999840610140220260340380460580620741
sqrt(x)
Output: p400
9999999999999999999999999999999840610140220260340380460580620741
9.999999999999999999999999999 E31
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun 6 07:06:40 2004
Input: sqrt(9999999999999999999999999999999840610140220260340380460580620741)
Output: 9.999999999999999999999999999 E31
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun 6 07:06:53 2004
Input: ?realprecision
Output:
Errors (if any) and Timing Info: *** Timing:
realprecision: default.
Timing:
real 0m0.075s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun 6 07:08:20 2004
Input: p
Pi
Output: p
3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 68.91.30.48.4grc.com. (68.91.30.48)
Time: Sun Jun 6 07:08:30 2004
Input: p 500
Pi
Output: p500
3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (218.237.155.208)
Time: Sun Jun 6 21:42:34 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host beluga.di.transpac.fr. (195.6.68.65)
Time: Mon Jun 7 09:12:02 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host beluga.di.transpac.fr. (195.6.68.65)
Time: Mon Jun 7 09:12:08 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host asia.mat.univ.szczecin.pl. (212.14.9.48)
Time: Mon Jun 7 12:37:09 2004
Input: > E := EllipticCurve([0,0,1,0,-1]);
> Q, reps := IntegralPoints(E);
> Q;
Output:
Errors (if any) and Timing Info: *** unexpected character: >E:=EllipticCurve([0
^--------------------
*** unexpected character: >Q,reps:=IntegralPoi
^--------------------
*** unexpected character: >Q;
^---
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host asia.mat.univ.szczecin.pl. (212.14.9.48)
Time: Mon Jun 7 12:47:37 2004
Input: E := EllipticCurve([0,0,1,0,-1]);
IntegralPoints(E);
Output:
Errors (if any) and Timing Info: *** unexpected character: E:=EllipticCurve([0,0,
^--------------------
*** expected character: '=' instead of: IntegralPoints(E);
^-
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Tue Jun 8 08:00:55 2004
Input: gplist := procedure( g, ~gss, ~gsn, ~gsl )
s := { Id(g) };
t1 := [Id(g)];
q1 := [0];
n := NumberOfGenerators(g);
gss := t1;
gsn := q1;
gsl := q1;
u := [];
for i := 1 to n do
u := u cat [g.i];
end for;
j := 0;
more := true;
while more do
more := false;
t2 := [];
p2 := [];
q2 := [];
j := j+1;
for k := 1 to n do
for l := 1 to #(t1) do
z := t1[l]*u[k];
if not ( z in s ) then
s := s join { z };
t2 := t2 cat [z];
p2 := p2 cat [j];
m := (10*q1[l])+k;
q2 := q2 cat [m];
more := true;
end if;
end for;
end for;
gss := gss cat t2;
gsn := gsn cat p2;
gsl := gsl cat q2;
t1 := t2;
q1 := q2;
end while;
end procedure;
subgpl := procedure( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl )
hss := [];
hsn := [];
hsl := [];
for i := 1 to #(gss) do
if gss[i] in h then
hss := hss cat [gss[i]];
hsn := hsn cat [gsn[i]];
hsl := hsl cat [gsl[i]];
end if;
end for;
end procedure;
organi := procedure( g,hss,gss, h, ~trl, ~hcos )
trl := [];
hcos := [];
g1 := { };
for i := 1 to #(gss) do
h1:={};
z := gss[i];
if not (z in g1) then
for j:=1 to #(hss) do
z1:=hss[j]*z;
h1:=h1 join {z1};
end for;
hcos := hcos cat [h1];
trl := trl cat [z];
g1 := g1 join h1;
end if;
end for;
end procedure;
coords := procedure( v, ech, m, vs, k, n, ~vco, ~sco )
vco := Zero(vs);
zerok := k!0;
sco := [ zerok : i in [ 1 .. n ] ];
vv := v;
for i := 1 to n do
echi := ech[i];
for j := i to m do
if echi[j] ne zerok then
if vv[j] ne zerok then
vco[i] := vv[j];
sco[i] := vv[j];
vv := vv - (vv[j]*ech[i]);
end if;
break;
end if;
end for;
end for;
end procedure;
action := procedure( b, trl, hcos, k, m, glv, ~matg)
zerok := k!0;
onek := k!1;
fullsq := [];
zz := [ zerok : i in [ 1 .. m ] ];
for i := 1 to m do
ww := zz;
b1 := trl[i]*b;
for j := 1 to m do
if b1 in hcos[j] then
ww[j] := onek;
break;
end if;
end for;
fullsq := fullsq cat ww;
end for;
matg :=glv!fullsq;
end procedure;
newech := procedure( vlst, m, k, ~ech )
zerok := k!0;
r := #(vlst);
vl := [];
for i := 1 to r do
vl := vl cat [vlst[i]];
end for;
z := [ 0 : i in [ 1 .. r ] ];
zz := [ 0 : i in [ 1 .. r ] ];
l := 0;
for j := 1 to m do
for i := 1 to r do
w := vl[i];
if (w[j] eq zerok) or (zz[i] ne 0) then
continue;
end if;
l := l+1;
z[l] := i;
zz[i] := l;
w := (w[j]^(-1))*vl[i];
vl[i] := w;
for i := 1 to r do
w1 := vl[i];
if (w1[j] eq zerok) or (z[l] eq i) then
continue;
end if;
vl[i] := vl[i] - (w1[j]*w) ;
end for;
break;
end for;
if l eq r then
break;
end if;
end for;
ech := [];
if l ne r then
print "error in newech: vlst has size", r, " and dimension", l;
return;
end if;
for i := 1 to r do
ech := ech cat [vl[z[i]]];
end for;
end procedure;
k:= FiniteField( 101 );
min1k := -(k!1);
zerok := k!0;
v := VectorSpace(k, 4) ;
g := GeneralLinearGroup(v);
g := sub< g |
[-1,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1],
[1,1,0,0,0,-1,0,0,0,1,1,0,0,0,0,1],
[1,0,0,0,0,1,2,0,0,0,-1,0,0,0,1,1],
[1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,-1]>;
a16:=g![1,1,2,2,0,1,0,0,0,0,1,0,0,-1,-2,-1];
gid := sub;
h := sub< g | a1,a2,a3,a16 > ;
gplist( g, ~gss, ~gsn, ~gsl );
subgpl ( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl );
organi( g,hss,gss, h, ~trl, ~hcos );
m := #(trl);
print "gens = ", Ngens(g), " order = ", #(gss), " index = ", m;
vs := VectorSpace(k, m) ;
zz := Zero(vs);
glv := GeneralLinearGroup(vs);
gsq := [];
for i := 1 to Ngens(g) do
action( g.i, trl,hcos, k, m, glv, ~matg);
gsq := gsq cat [matg];
end for;
h11 := sub;
print Order(h11);
print #(h meet h11);
subgp := procedure( gss, gsn, gsl, h11, ~h11ss, ~h11sn, ~h11sl )
h11ss := [];
h11sn := [];
h11sl := [];
for i := 1 to #(gss) do
if gss[i] in h11 then
h11ss := h11ss cat [gss[i]];
h11sn := h11sn cat [gsn[i]];
h11sl := h11sl cat [gsl[i]];
end if;
end for;
end procedure;
organ := procedure( g,h11ss,gss, h11, ~ntrl, ~h11cos )
ntrl := [];
h11cos := [];
g1 := { };
for i := 1 to #(gss) do
h1:={};
z := gss[i];
if not (z in g1) then
for j:=1 to #(h11ss) do
z1:=h11ss[j]*z;
h1:=h1 join {z1};
end for;
h11cos := h11cos cat [h1];
ntrl := ntrl cat [z];
g1 := g1 join h1;
end if;
end for;
end procedure;
subgp( gss, gsn, gsl, h11, ~h11ss, ~h11sn, ~h11sl );
organ ( g,h11ss,gss, h11, ~ntrl, ~h11cos );
vclst := [];
gplst := [];
for i := 1 to #(ntrl) do
gg := ntrl[i];
cst:={};
for j:=1 to #(hss) do
z2:= hss[j]*gg;
cst := cst join {z2};
end for;
ww := zz;
h12 := h11^gg;
for x in h12 do
cst2:=Setseq(cst);
cst1:={};
for k:=1 to #(cst2) do
z3:= cst2[k]*x;
cst1 := cst1 join {z3};
end for;
pos := Position(hcos,cst1);
if pos eq 0 then
print "error";
else
pos1 := Position(gss, x);
if (gsn[pos1] mod 2) eq 0 then
ww[pos] := ww[pos]+1;
else
ww[pos] := ww[pos]-1;
end if;
end if;
end for;
vclst := vclst cat [ww];
pos := Position(gss, gg);
gplst := gplst cat [gsl[pos]];
end for;
ms := sub< vs | zz >;
vc1set := { };
vc1lst := [];
msdim := 0;
for i := 1 to #(vclst) do
ww := vclst[i];
ms := sub< vs | ms, ww >;
msd := Dimension(ms);
if msd gt msdim then
msdim := msd;
vc1set := vc1set join { vclst[i] };
vc1lst := vc1lst cat [vclst[i]];
end if;
end for;
vsb := sub< vs | vc1set >;
n := Dimension(vsb);
if echpar eq 0 then
echa := EchelonForm(vc1set);
else
newech( vc1lst, m, k, ~echa );
end if;
vsa := VectorSpace(k,n);
glva := GeneralLinearGroup(vsa);
mats := [];
for i := 1 to n do
coords( vc1lst[i], echa, m, vsa, k, n, ~vco, ~sco );
mats := mats cat sco;
end for;
mata := glva!mats;
mata := mata^(-1);
gs1q := [];
for i := 1 to #(gsq) do
mats := [];
for j := 1 to n do
vn := vc1lst[j]*gsq[i];
coords( vn, echa, m, vsa, k, n, ~vco, ~sco );
vn := vco*mata;
for jj := 1 to n do
sco[jj] := vn[jj];
end for;
mats := mats cat sco;
end for;
matg := glva!mats;
gs1q := gs1q cat [matg];
end for;
cls := Classes(g);
fi := hom< g -> glv |gsq>;
fia := hom< g -> glva |gs1q>;
print "generators of subgroup h11";
for x in Generators(h11) do
pos := Position(gss, x);
print gsl[pos];
end for;
print" __________________________";
d1 := Seqset(trl);
d2 := Seqset(ntrl);
d3 := d1 meet d2;
K:=Classes(g);
for i:=1 to #(K) do
gg:=K[i,3];
pos := Position(gss, gg);
print gsl[pos], Trace(fi(gg)), Trace((gg) @ fia);
end for;
print" __________________________";
if #(d3) eq n then
print " H , H11 IS A PERFECT";
end if;
quit;
Output: WARNING: PARI command contains unsafe command 'quit', so it will not be executed.
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Tue Jun 8 09:58:15 2004
Input: L := SimpleLieAlgebra("G", 2, RationalField());
R, Rv, fund, C:=RootSystem(L);
R;
Output: WARNING: PARI command contains unsafe command 'system', so it will not be executed.
************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun 8 14:19:28 2004
Input: 1+3
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun 8 14:19:43 2004
Input: 1+3;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun 8 14:19:52 2004
Input: 1+3
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun 8 14:20:07 2004
Input: 1+3
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 0x50a6940f.albnxx11.adsl-dhcp.tele.dk. (80.166.148.15)
Time: Tue Jun 8 14:20:23 2004
Input: 1000!
Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host webcacheB03a.cache.pol.co.uk. (195.92.168.165)
Time: Tue Jun 8 15:36:05 2004
Input: R:=PolynomialRing(RationalField(),[1,2,3,4,5,6]);
M:=Matrix(R,2,4,x,y,z+x_0*(-b_4*y),u+x_0*(-c_9+c_10)*t-c_3*x^2*y-(c_6+c_8)*y^2,y,z+x_0*(a_1*x^2+a_2*y),t+x_0*(b_1*x^3+b_2*x*y+b_3*z),v+x_0*(c_1*x^5+c_2*x^2*y+c_4*x*y^2+c_5*x*t+c_7*u));
Output:
Errors (if any) and Timing Info: *** unused characters: R:=Polynom
^--------------------
*** unexpected character: M:=Matrix(R,2,4,x,y,z+
^--------------------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host buster.nbg-hannover.de. (62.181.135.129)
Time: Wed Jun 9 12:23:19 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host p50814861.dip0.t-ipconnect.de. (80.129.72.97)
Time: Wed Jun 9 12:45:32 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p50814861.dip0.t-ipconnect.de. (80.129.72.97)
Time: Wed Jun 9 12:45:50 2004
Input: nextPrime(1099)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: nextPrime(1099)
^---------------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host p50814861.dip0.t-ipconnect.de. (80.129.72.97)
Time: Wed Jun 9 12:46:00 2004
Input: nextprime(1099)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dsl-082-082-050-244.arcor-ip.net. (82.82.50.244)
Time: Wed Jun 9 13:19:13 2004
Input: sin(2^100)
Output:
Errors (if any) and Timing Info: *** loss of precision in mpsc1.
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host adsl-62-167-119-107.adslplus.ch. (62.167.119.107)
Time: Wed Jun 9 13:23:38 2004
Input: 1+2
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host adsl-62-167-119-107.adslplus.ch. (62.167.119.107)
Time: Wed Jun 9 13:24:04 2004
Input: root(2)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: root(2)
^-------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host d463c791.datahighways.de. (212.99.199.145)
Time: Wed Jun 9 21:04:33 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (80.146.215.18)
Time: Thu Jun 10 02:29:59 2004
Input: 23
Output: 23
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p3EE0DCD4.dip.t-dialin.net. (62.224.220.212)
Time: Thu Jun 10 05:29:05 2004
Input: sqrt(2)
Output: 1.414213562373095048801688724
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host proxy305.docomo.ne.jp. (210.136.161.197)
Time: Thu Jun 10 08:13:57 2004
Input: qfbclassno(-23)
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host Q114012.ppp.dion.ne.jp. (61.204.114.12)
Time: Thu Jun 10 08:20:51 2004
Input: qfbclassno(-163)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host Q114012.ppp.dion.ne.jp. (61.204.114.12)
Time: Thu Jun 10 08:21:32 2004
Input: qfbclassno(-16300)
Output: 18
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fourier.maths.warwick.ac.uk. (137.205.232.115)
Time: Thu Jun 10 09:46:00 2004
Input: 1 + 3 ;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fourier.maths.warwick.ac.uk. (137.205.232.115)
Time: Thu Jun 10 09:46:08 2004
Input: 1 + 3 ;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fourier.maths.warwick.ac.uk. (137.205.232.115)
Time: Thu Jun 10 09:46:15 2004
Input: 1 + 3
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host rovaniemi.upc.es. (147.83.104.38)
Time: Thu Jun 10 09:53:54 2004
Input: 6/2
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 24-205-83-208.pas-eres.charterpipeline.net. (24.205.83.208)
Time: Fri Jun 11 02:09:44 2004
Input: (25-b)*n^2+(b+14)*n+6=0
Output:
Errors (if any) and Timing Info: *** unexpected character: (25-b)*n^2+(b+14)*n+6=0
^--
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 24-205-83-208.pas-eres.charterpipeline.net. (24.205.83.208)
Time: Fri Jun 11 02:09:55 2004
Input: (25-b)*n^2+(b+14)*n+6
Output: (-n^2 + n)*b + (25*n^2 + 14*n + 6)
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host io.math.uni-bonn.de. (131.220.120.25)
Time: Fri Jun 11 04:50:38 2004
Input: 3+5
Output: 8
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host io.math.uni-bonn.de. (131.220.120.25)
Time: Fri Jun 11 04:50:52 2004
Input: D(x^2,x)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: D(x^2,x)
^-----
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host io.math.uni-bonn.de. (131.220.120.25)
Time: Fri Jun 11 04:51:05 2004
Input: D(x*x,x)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: D(x*x,x)
^-----
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host px3nr.wp.shawcable.net. (24.66.94.142)
Time: Fri Jun 11 05:25:31 2004
Input: e^(-2/n)*(2/n)
Output:
Errors (if any) and Timing Info: *** negative exponent in glog.
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host px3nr.wp.shawcable.net. (24.66.94.142)
Time: Fri Jun 11 05:25:43 2004
Input: e^(-2/n)(2/n)
Output:
Errors (if any) and Timing Info: *** unused characters: e^(-2/n)(2/n)
^-----
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host px3nr.wp.shawcable.net. (24.66.94.142)
Time: Fri Jun 11 05:26:16 2004
Input: e^(-2/n)(2/n)
Output:
Errors (if any) and Timing Info: *** unused characters: e^(-2/n)(2/n)
^-----
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 94.Red-80-37-182.pooles.rima-tde.net. (80.37.182.94)
Time: Fri Jun 11 10:51:43 2004
Input: 10363493751496848755102287778458179878677848198015161815799627268703605695789054212693415917935867478640528186076581281829910355993857786369104849219620379
Output: 10363493751496848755102287778458179878677848198015161815799627268703605695789054212693415917935867478640528186076581281829910355993857786369104849219620379
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:06 2004
Input: 123243**5436
Output:
Errors (if any) and Timing Info: *** unexpected character: 123243**5436
^-----
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:17 2004
Input: 123243^5436
Output: 2419096362585169178772061182691731665335454042705950713891613086096923714043221924041230268885386405061603606210454605840564699704678663873382848919210772516641235174735595493118124382993733787813366718258461087709144038509172757079206675229170396092664338136030794566367306748970271248977845758833729375265598400041526671876225537055222032413078701071479050738963970497111945343531236127758622470065885616446366301357728734736643976764695310306885846867379281607832821242147479129010447564059030116941273885347851672688313366999842116059164256179996338336250357424560837579034922640507243422162050692593224538221594992423777538375708669168678033126219894339085671572918059249466307853397082997123822156170478248364317481265166260955003018514586451412329714870088341089012390046023824391256940347318987007775372615604828380185495346350450157767560331029039234948732546009888051637616890574051423186182125824724037673522610726981956223861200356687518220870280434010536516476344636476978364168686040166380872505745633237149293634250146237399887640047037802459022302097152591255536466965639699333023453354637178088372797051223840127550778156856343585508547164493244143667353148906357413943001677596294192997310521609733783024478194771617539556765648459077912435428901336792355036303170781296512501339379177265248497105840183196964157478216396888220444342956969181025001791087497752221170000106826618129085636497697392878165275661848063580132472615768047231378635256031562898736803904409196389026741226368701623926510959051073393320970081740611732033090586565444019986187417931646124786150238562182056536183660231804780317261604907338563024043220541551372381819158966213190583084752811662955080185739427170618696158598100672849788949451527974703565341381754388598872263279002725140636574444569558036726090922150161712616104439028834465471851971180565980680044824038345879826155259938927194413434901537196685449474332862555427330966353416954372960906955277630586703123985716050542135429694737173942414515620297652612656334809316066939414284187776831886934475722011808428436242398238799652501164783567454846765090545247295351970417313649921934840704575665904654706617417154187883547699172644438547203070060539563837483537305362271150674610817935146586368761631559947452371523974143969497146212727046730954611449562233338235227253411446090117359368174354254646791175700424287991510485709601522261914903935009744248895049090824644798850205764660230688011164294818523915457901018426016897593099676635254962070845851181972417574347817768334046720957009022969762848327739709074999397007370243218371114904034847291366342411485750167920193202599279644267232507495369493435208040313996077940171695736645921730870455876130616557707261863993214768404445543226095182021622595732083306892837539558770758342795890014087483525424374191972865901446038491852353984738807385333626021720100946893882793067404256901435560708833960876111144808930725207297248112625952532107703550237209755985821718314446127742321895842080407462977533638816272027858921701280146023352156168078678096640923058471918051938027541555254847801817443374589890117992736345054915307756572176064311019232125031612308170991760130360613878033899209656633112272180327200323606321405962291589448972527740365641632147157531189949744250990938458262582957037393170605984272833723461063017626716711809581008507319486835603824778344348252000114894211866233462087565061873933463717562609795569174950742237295160430003491482917349713197335720581153973835784323501163071919140628956726304400507536453161783972478237400568041328421155383288001648368631866058082046571193814789359875255559023851364316082938451720284694063427398604523869254699345604293314296706170246770374651669964280354329454754947945262043864513341926609059549708159594995594071327023908728259249729087659211381169332405410710051657899801580044349313836719024210594875104034246836572529238204316031889580352538581054600527189553393609358552667441607868348100858904718652785266833412717170230716576655671534743231860865584858781811948595976476401051427369830412636789056254666449649457139907882956921906083912728756156694900229300660020048486792149966801669652409436368109485054772150920604297718242737999805774911781692608263080359781688745363858887510450848487571439118266319174217186493483230330025617960804405715619388213614150998406355801567657939804573788672346617862592294827373551451608245947390435459679702901715113193375568748039727662841770303237444349342036461158990858436611736709258343136513186201456321854185793336270139773752604770640177663705519713020115024303314041420207571355155202751415844626823879371310829205107887616697573103871299378399418815147242650336163853301988565034069875509734814662063366423605068801467481260768221392253491079709331466703817431903801426429762824743866811717614377198714282817114191788505705712298604827168543653082067251362774004510347791569232736139725040741512259135654881787598979316928465300806195281076477390043877482774896261080495390293030448122236407203999605193283845993770473564576648975476970449608892555944605134028775142953985008400018571026784527387494025070383414370988651028621688182016442586115183488531593678948938013905307261569090396548691580199849223135170125498238136865937802620460416754947374731221708133780674627466157902400830164903955941479150735837179747898881844298504088044657560394744027299767137405110179644595116450953950829747475962347526417563614192530116384825668013189851343021075760386421828088466229669610876105505958244579302898886548540988400438200150874981572933203347454524067417072657470473747813249340348617698667179283837705096104817134822496216577838807782941765365114799575519559380588910202527239353014070884584882715259320649569591071271949628575539086381068321054824510104874635700709849108575674587891127651114522133492942459216490590450041653918844628890328476201784460183865102535472555813773980326642231457020420640033893985866088059296485579962697262130960057918871286066783210971417856862585884170813124458614658490830967830925814278093426568135760272777369156202545489414808457990280546043584671329467302431186940162136574109077258494724354104589285835392415556596942089137469919535690839567374510583638721538823726959479786846736921750705850955647232714182101464214628219633023041910993763352981352252680233018499304598516756752228861594881578972477568886296290442021680630192548118908667668385933802687879111761008128822808451178990019681887761655447540678367049528116320628295615000999775398127401685483494205526971240368509346216281753791764522255882932049961544360254977473398964936747587992872794283171975538548907545484384367633596016271051088535533903713671950120132148256205588738842497741381898581477580164886460809894653226903406718624268893377695913860914842330480294784809258549902795159728360366098126422805571154069397856206368996932872337516391984803174786959384150789721906538839964431262488797986065778583450834249140567593118397117316678658418766987814068392190499514767105882824257203143444917561779491286455393246459900706130653930446469590518240655422071844377352232506999871913316250429043638952820342010210939511800327556630966786438916942959730509643493929623379401132166120245936721571703534460337622808466646250862651172398453678052146913050704534975049169507342436245435972845657478316918392670690545000584602007860363629381613202016230822419385590072886481077996572416631440112594290053330796494477353525620867213709323451232347337720761834536126260819485471969398276141821156359275556703312506935414342159376374372491726338097703282652447792944256362252428587760085272551817650990880677250908110518500502513989207633603354280414191584278000641877301291934772858690129569696107502100295502116722537612703874694925428904850237228993239838434646940218654377897579053229324936059442186339041421303688673435791175932341182022508171580942170312370927141625604153326990723135931632272541867521954425729394284885446983143428487038706406849654301672968738400905886970797262039818226722766701575737704174730407577583912479401029868215461775658561511156133607720748102735730693944134679050645162109288228237568235547618841953012713393856030585468581936684469824279490632350226520922590528248090725838684410523104803952901695706194422483624857388688065585812545519690847189286492077454632173990465035184667643150907780038825182747156232617698660054461696942824222952085997130033658180889393166670158206652191865151090158741879653731367504771037720449227166713746669940485099610101304276926893691505335909955269657803039036441523059963545418895440054641076201403374812186346128973820946716443787458013311530049640559920207741058129145005408058189530673579242687439593127825204203721820981591708936190331624388028350168093828629633928588103957657325509611363871799486596250568931161504140177259064450145789179422014369016807355759393110091158787647829176283440781599555490863602725992315273096849424383126587523320771099281116937581021158304998007330186349772439437837869773564892249327762433761628761899673702133111434068702573893771109424858499772111007730420592700565602622752195542452031032968127415024320504320458853527964249074336151862868547490163094510665468251941765384599945384839807524340671139738553320796304981334358106822906259883370670760500267791121428573124046209649767311131826979043223704763613863815585143491530203097852125677073868266089607445569075403935551764676883287203308898945091245005584165492948100782440935332418600848316423505539688964698053825400635955977042895258176991615461948180917462056031597633865714744400310070967623500440097183759122812686099230899099626906340824277222646665926410857992149851287206210469696052966268990679183426083331252984932874564928468853203598293841495895368078066099506894109947174534183931753956265230842882108559717645784139151623581134522306533431128818268049810644212351153883622840400803570010538976019126175524237745387406282986315935145771827375221885259077288285864911220110090522314831559438974532053
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.323s
user 0m0.250s
sys 0m0.070s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:48 2004
Input: 123243^543688
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.030s
user 0m20.840s
sys 0m0.160s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:58:59 2004
Input: 123243^5436
Output: 2419096362585169178772061182691731665335454042705950713891613086096923714043221924041230268885386405061603606210454605840564699704678663873382848919210772516641235174735595493118124382993733787813366718258461087709144038509172757079206675229170396092664338136030794566367306748970271248977845758833729375265598400041526671876225537055222032413078701071479050738963970497111945343531236127758622470065885616446366301357728734736643976764695310306885846867379281607832821242147479129010447564059030116941273885347851672688313366999842116059164256179996338336250357424560837579034922640507243422162050692593224538221594992423777538375708669168678033126219894339085671572918059249466307853397082997123822156170478248364317481265166260955003018514586451412329714870088341089012390046023824391256940347318987007775372615604828380185495346350450157767560331029039234948732546009888051637616890574051423186182125824724037673522610726981956223861200356687518220870280434010536516476344636476978364168686040166380872505745633237149293634250146237399887640047037802459022302097152591255536466965639699333023453354637178088372797051223840127550778156856343585508547164493244143667353148906357413943001677596294192997310521609733783024478194771617539556765648459077912435428901336792355036303170781296512501339379177265248497105840183196964157478216396888220444342956969181025001791087497752221170000106826618129085636497697392878165275661848063580132472615768047231378635256031562898736803904409196389026741226368701623926510959051073393320970081740611732033090586565444019986187417931646124786150238562182056536183660231804780317261604907338563024043220541551372381819158966213190583084752811662955080185739427170618696158598100672849788949451527974703565341381754388598872263279002725140636574444569558036726090922150161712616104439028834465471851971180565980680044824038345879826155259938927194413434901537196685449474332862555427330966353416954372960906955277630586703123985716050542135429694737173942414515620297652612656334809316066939414284187776831886934475722011808428436242398238799652501164783567454846765090545247295351970417313649921934840704575665904654706617417154187883547699172644438547203070060539563837483537305362271150674610817935146586368761631559947452371523974143969497146212727046730954611449562233338235227253411446090117359368174354254646791175700424287991510485709601522261914903935009744248895049090824644798850205764660230688011164294818523915457901018426016897593099676635254962070845851181972417574347817768334046720957009022969762848327739709074999397007370243218371114904034847291366342411485750167920193202599279644267232507495369493435208040313996077940171695736645921730870455876130616557707261863993214768404445543226095182021622595732083306892837539558770758342795890014087483525424374191972865901446038491852353984738807385333626021720100946893882793067404256901435560708833960876111144808930725207297248112625952532107703550237209755985821718314446127742321895842080407462977533638816272027858921701280146023352156168078678096640923058471918051938027541555254847801817443374589890117992736345054915307756572176064311019232125031612308170991760130360613878033899209656633112272180327200323606321405962291589448972527740365641632147157531189949744250990938458262582957037393170605984272833723461063017626716711809581008507319486835603824778344348252000114894211866233462087565061873933463717562609795569174950742237295160430003491482917349713197335720581153973835784323501163071919140628956726304400507536453161783972478237400568041328421155383288001648368631866058082046571193814789359875255559023851364316082938451720284694063427398604523869254699345604293314296706170246770374651669964280354329454754947945262043864513341926609059549708159594995594071327023908728259249729087659211381169332405410710051657899801580044349313836719024210594875104034246836572529238204316031889580352538581054600527189553393609358552667441607868348100858904718652785266833412717170230716576655671534743231860865584858781811948595976476401051427369830412636789056254666449649457139907882956921906083912728756156694900229300660020048486792149966801669652409436368109485054772150920604297718242737999805774911781692608263080359781688745363858887510450848487571439118266319174217186493483230330025617960804405715619388213614150998406355801567657939804573788672346617862592294827373551451608245947390435459679702901715113193375568748039727662841770303237444349342036461158990858436611736709258343136513186201456321854185793336270139773752604770640177663705519713020115024303314041420207571355155202751415844626823879371310829205107887616697573103871299378399418815147242650336163853301988565034069875509734814662063366423605068801467481260768221392253491079709331466703817431903801426429762824743866811717614377198714282817114191788505705712298604827168543653082067251362774004510347791569232736139725040741512259135654881787598979316928465300806195281076477390043877482774896261080495390293030448122236407203999605193283845993770473564576648975476970449608892555944605134028775142953985008400018571026784527387494025070383414370988651028621688182016442586115183488531593678948938013905307261569090396548691580199849223135170125498238136865937802620460416754947374731221708133780674627466157902400830164903955941479150735837179747898881844298504088044657560394744027299767137405110179644595116450953950829747475962347526417563614192530116384825668013189851343021075760386421828088466229669610876105505958244579302898886548540988400438200150874981572933203347454524067417072657470473747813249340348617698667179283837705096104817134822496216577838807782941765365114799575519559380588910202527239353014070884584882715259320649569591071271949628575539086381068321054824510104874635700709849108575674587891127651114522133492942459216490590450041653918844628890328476201784460183865102535472555813773980326642231457020420640033893985866088059296485579962697262130960057918871286066783210971417856862585884170813124458614658490830967830925814278093426568135760272777369156202545489414808457990280546043584671329467302431186940162136574109077258494724354104589285835392415556596942089137469919535690839567374510583638721538823726959479786846736921750705850955647232714182101464214628219633023041910993763352981352252680233018499304598516756752228861594881578972477568886296290442021680630192548118908667668385933802687879111761008128822808451178990019681887761655447540678367049528116320628295615000999775398127401685483494205526971240368509346216281753791764522255882932049961544360254977473398964936747587992872794283171975538548907545484384367633596016271051088535533903713671950120132148256205588738842497741381898581477580164886460809894653226903406718624268893377695913860914842330480294784809258549902795159728360366098126422805571154069397856206368996932872337516391984803174786959384150789721906538839964431262488797986065778583450834249140567593118397117316678658418766987814068392190499514767105882824257203143444917561779491286455393246459900706130653930446469590518240655422071844377352232506999871913316250429043638952820342010210939511800327556630966786438916942959730509643493929623379401132166120245936721571703534460337622808466646250862651172398453678052146913050704534975049169507342436245435972845657478316918392670690545000584602007860363629381613202016230822419385590072886481077996572416631440112594290053330796494477353525620867213709323451232347337720761834536126260819485471969398276141821156359275556703312506935414342159376374372491726338097703282652447792944256362252428587760085272551817650990880677250908110518500502513989207633603354280414191584278000641877301291934772858690129569696107502100295502116722537612703874694925428904850237228993239838434646940218654377897579053229324936059442186339041421303688673435791175932341182022508171580942170312370927141625604153326990723135931632272541867521954425729394284885446983143428487038706406849654301672968738400905886970797262039818226722766701575737704174730407577583912479401029868215461775658561511156133607720748102735730693944134679050645162109288228237568235547618841953012713393856030585468581936684469824279490632350226520922590528248090725838684410523104803952901695706194422483624857388688065585812545519690847189286492077454632173990465035184667643150907780038825182747156232617698660054461696942824222952085997130033658180889393166670158206652191865151090158741879653731367504771037720449227166713746669940485099610101304276926893691505335909955269657803039036441523059963545418895440054641076201403374812186346128973820946716443787458013311530049640559920207741058129145005408058189530673579242687439593127825204203721820981591708936190331624388028350168093828629633928588103957657325509611363871799486596250568931161504140177259064450145789179422014369016807355759393110091158787647829176283440781599555490863602725992315273096849424383126587523320771099281116937581021158304998007330186349772439437837869773564892249327762433761628761899673702133111434068702573893771109424858499772111007730420592700565602622752195542452031032968127415024320504320458853527964249074336151862868547490163094510665468251941765384599945384839807524340671139738553320796304981334358106822906259883370670760500267791121428573124046209649767311131826979043223704763613863815585143491530203097852125677073868266089607445569075403935551764676883287203308898945091245005584165492948100782440935332418600848316423505539688964698053825400635955977042895258176991615461948180917462056031597633865714744400310070967623500440097183759122812686099230899099626906340824277222646665926410857992149851287206210469696052966268990679183426083331252984932874564928468853203598293841495895368078066099506894109947174534183931753956265230842882108559717645784139151623581134522306533431128818268049810644212351153883622840400803570010538976019126175524237745387406282986315935145771827375221885259077288285864911220110090522314831559438974532053
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.363s
user 0m0.250s
sys 0m0.120s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 10:59:33 2004
Input: 123243^5436
Output: 2419096362585169178772061182691731665335454042705950713891613086096923714043221924041230268885386405061603606210454605840564699704678663873382848919210772516641235174735595493118124382993733787813366718258461087709144038509172757079206675229170396092664338136030794566367306748970271248977845758833729375265598400041526671876225537055222032413078701071479050738963970497111945343531236127758622470065885616446366301357728734736643976764695310306885846867379281607832821242147479129010447564059030116941273885347851672688313366999842116059164256179996338336250357424560837579034922640507243422162050692593224538221594992423777538375708669168678033126219894339085671572918059249466307853397082997123822156170478248364317481265166260955003018514586451412329714870088341089012390046023824391256940347318987007775372615604828380185495346350450157767560331029039234948732546009888051637616890574051423186182125824724037673522610726981956223861200356687518220870280434010536516476344636476978364168686040166380872505745633237149293634250146237399887640047037802459022302097152591255536466965639699333023453354637178088372797051223840127550778156856343585508547164493244143667353148906357413943001677596294192997310521609733783024478194771617539556765648459077912435428901336792355036303170781296512501339379177265248497105840183196964157478216396888220444342956969181025001791087497752221170000106826618129085636497697392878165275661848063580132472615768047231378635256031562898736803904409196389026741226368701623926510959051073393320970081740611732033090586565444019986187417931646124786150238562182056536183660231804780317261604907338563024043220541551372381819158966213190583084752811662955080185739427170618696158598100672849788949451527974703565341381754388598872263279002725140636574444569558036726090922150161712616104439028834465471851971180565980680044824038345879826155259938927194413434901537196685449474332862555427330966353416954372960906955277630586703123985716050542135429694737173942414515620297652612656334809316066939414284187776831886934475722011808428436242398238799652501164783567454846765090545247295351970417313649921934840704575665904654706617417154187883547699172644438547203070060539563837483537305362271150674610817935146586368761631559947452371523974143969497146212727046730954611449562233338235227253411446090117359368174354254646791175700424287991510485709601522261914903935009744248895049090824644798850205764660230688011164294818523915457901018426016897593099676635254962070845851181972417574347817768334046720957009022969762848327739709074999397007370243218371114904034847291366342411485750167920193202599279644267232507495369493435208040313996077940171695736645921730870455876130616557707261863993214768404445543226095182021622595732083306892837539558770758342795890014087483525424374191972865901446038491852353984738807385333626021720100946893882793067404256901435560708833960876111144808930725207297248112625952532107703550237209755985821718314446127742321895842080407462977533638816272027858921701280146023352156168078678096640923058471918051938027541555254847801817443374589890117992736345054915307756572176064311019232125031612308170991760130360613878033899209656633112272180327200323606321405962291589448972527740365641632147157531189949744250990938458262582957037393170605984272833723461063017626716711809581008507319486835603824778344348252000114894211866233462087565061873933463717562609795569174950742237295160430003491482917349713197335720581153973835784323501163071919140628956726304400507536453161783972478237400568041328421155383288001648368631866058082046571193814789359875255559023851364316082938451720284694063427398604523869254699345604293314296706170246770374651669964280354329454754947945262043864513341926609059549708159594995594071327023908728259249729087659211381169332405410710051657899801580044349313836719024210594875104034246836572529238204316031889580352538581054600527189553393609358552667441607868348100858904718652785266833412717170230716576655671534743231860865584858781811948595976476401051427369830412636789056254666449649457139907882956921906083912728756156694900229300660020048486792149966801669652409436368109485054772150920604297718242737999805774911781692608263080359781688745363858887510450848487571439118266319174217186493483230330025617960804405715619388213614150998406355801567657939804573788672346617862592294827373551451608245947390435459679702901715113193375568748039727662841770303237444349342036461158990858436611736709258343136513186201456321854185793336270139773752604770640177663705519713020115024303314041420207571355155202751415844626823879371310829205107887616697573103871299378399418815147242650336163853301988565034069875509734814662063366423605068801467481260768221392253491079709331466703817431903801426429762824743866811717614377198714282817114191788505705712298604827168543653082067251362774004510347791569232736139725040741512259135654881787598979316928465300806195281076477390043877482774896261080495390293030448122236407203999605193283845993770473564576648975476970449608892555944605134028775142953985008400018571026784527387494025070383414370988651028621688182016442586115183488531593678948938013905307261569090396548691580199849223135170125498238136865937802620460416754947374731221708133780674627466157902400830164903955941479150735837179747898881844298504088044657560394744027299767137405110179644595116450953950829747475962347526417563614192530116384825668013189851343021075760386421828088466229669610876105505958244579302898886548540988400438200150874981572933203347454524067417072657470473747813249340348617698667179283837705096104817134822496216577838807782941765365114799575519559380588910202527239353014070884584882715259320649569591071271949628575539086381068321054824510104874635700709849108575674587891127651114522133492942459216490590450041653918844628890328476201784460183865102535472555813773980326642231457020420640033893985866088059296485579962697262130960057918871286066783210971417856862585884170813124458614658490830967830925814278093426568135760272777369156202545489414808457990280546043584671329467302431186940162136574109077258494724354104589285835392415556596942089137469919535690839567374510583638721538823726959479786846736921750705850955647232714182101464214628219633023041910993763352981352252680233018499304598516756752228861594881578972477568886296290442021680630192548118908667668385933802687879111761008128822808451178990019681887761655447540678367049528116320628295615000999775398127401685483494205526971240368509346216281753791764522255882932049961544360254977473398964936747587992872794283171975538548907545484384367633596016271051088535533903713671950120132148256205588738842497741381898581477580164886460809894653226903406718624268893377695913860914842330480294784809258549902795159728360366098126422805571154069397856206368996932872337516391984803174786959384150789721906538839964431262488797986065778583450834249140567593118397117316678658418766987814068392190499514767105882824257203143444917561779491286455393246459900706130653930446469590518240655422071844377352232506999871913316250429043638952820342010210939511800327556630966786438916942959730509643493929623379401132166120245936721571703534460337622808466646250862651172398453678052146913050704534975049169507342436245435972845657478316918392670690545000584602007860363629381613202016230822419385590072886481077996572416631440112594290053330796494477353525620867213709323451232347337720761834536126260819485471969398276141821156359275556703312506935414342159376374372491726338097703282652447792944256362252428587760085272551817650990880677250908110518500502513989207633603354280414191584278000641877301291934772858690129569696107502100295502116722537612703874694925428904850237228993239838434646940218654377897579053229324936059442186339041421303688673435791175932341182022508171580942170312370927141625604153326990723135931632272541867521954425729394284885446983143428487038706406849654301672968738400905886970797262039818226722766701575737704174730407577583912479401029868215461775658561511156133607720748102735730693944134679050645162109288228237568235547618841953012713393856030585468581936684469824279490632350226520922590528248090725838684410523104803952901695706194422483624857388688065585812545519690847189286492077454632173990465035184667643150907780038825182747156232617698660054461696942824222952085997130033658180889393166670158206652191865151090158741879653731367504771037720449227166713746669940485099610101304276926893691505335909955269657803039036441523059963545418895440054641076201403374812186346128973820946716443787458013311530049640559920207741058129145005408058189530673579242687439593127825204203721820981591708936190331624388028350168093828629633928588103957657325509611363871799486596250568931161504140177259064450145789179422014369016807355759393110091158787647829176283440781599555490863602725992315273096849424383126587523320771099281116937581021158304998007330186349772439437837869773564892249327762433761628761899673702133111434068702573893771109424858499772111007730420592700565602622752195542452031032968127415024320504320458853527964249074336151862868547490163094510665468251941765384599945384839807524340671139738553320796304981334358106822906259883370670760500267791121428573124046209649767311131826979043223704763613863815585143491530203097852125677073868266089607445569075403935551764676883287203308898945091245005584165492948100782440935332418600848316423505539688964698053825400635955977042895258176991615461948180917462056031597633865714744400310070967623500440097183759122812686099230899099626906340824277222646665926410857992149851287206210469696052966268990679183426083331252984932874564928468853203598293841495895368078066099506894109947174534183931753956265230842882108559717645784139151623581134522306533431128818268049810644212351153883622840400803570010538976019126175524237745387406282986315935145771827375221885259077288285864911220110090522314831559438974532053
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.316s
user 0m0.210s
sys 0m0.110s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Fri Jun 11 11:00:03 2004
Input: 123243^54366
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.052s
user 0m20.860s
sys 0m0.150s
************** PARI *****************
Host 3(NXDOMAIN) (147.83.158.217)
Time: Fri Jun 11 12:34:34 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.83.158.217)
Time: Fri Jun 11 12:35:38 2004
Input: /*
* An implementation of a search for a non-skewed NFS polynomial, based
* on Brian Murphy's thesis.
*
* By Contini - May, 2000.
*
* Please report bugs, improvements, and suggestions to
* contini@maths.usyd.edu.au
*/
/*
* A polynomial for n can be reconstructed from its degree d and its
* value of m1 (assuming m2 = 1). This function does that.
*/
function m1ToPoly( n, m1, d )
rem := n;
coeffs := [];
for i := d to 0 by -1 do
temp := m1^i;
coeff := rem div temp;
Append (~coeffs, coeff);
rem -:= coeff*temp;
end for;
m1div2 := m1 div 2;
/* adjust the coefficients to be between -m1div2 and m1div2 */
for i := d+1 to 2 by -1 do
if coeffs[i] gt m1div2 then
coeffs[i] -:= m1;
coeffs[i-1] +:= 1;
end if;
end for;
P := PolynomialRing(Integers(), 2);
F := P!0;
for i in [0..d] do
F +:= coeffs[i+1]*X^(d-i)*Y^i;
end for;
return F;
end function;
/*
* Compute cont_p (defined in section 3.2.1 of Murphy's thesis) of
* homogeneous polynomial F corresponding to univariate polynomial f
* for the prime p . The following input values are required:
* - disc should be the discriminant of f .
* - bound is the size of the sample space to look through in
* order to estimate cont_p for the case of p dividing disc .
* For example, bound=10000 may be a good choice.
*/
function ComputeCont_p( p, disc, bound, F, f );
if disc mod p eq 0 then
/* estimate using some small sample space */
cont_p := 0;
upper_limit := bound^2;
for i in [1..bound] do
repeat
a := Random( upper_limit );
b := Random( upper_limit );
until Gcd( a, b ) eq 1;
value := Evaluate( F, [a, b] );
while value mod p eq 0 do
value div:= p;
cont_p +:= 1;
end while;
end for;
cont_p := cont_p / (0.0 + bound);
else
K := GF(p);
roots_mod_p := Roots( f, K );
q_p := #roots_mod_p;
/* add in the contribution of the projective roots
*/
d := Degree( f );
if Coefficient(f, d) mod p eq 0 then
q_p +:= 1;
end if;
cont_p := q_p * p / (p * p - 1.0);
end if;
return cont_p;
end function;
/*
* Compute the alpha value corresponding to polynomial F . For
* primes p that divide the discriminant, do a random sampling of
* bound elements to estimate cont_p (the expected exponent of
* prime p on the set of F values). Include an early abort strategy:
* if by the time we reach abort_p , the estimated alpha value is >
* abort_alpha then stop the computation and return (the estimated) alpha .
* If the early abort will not be used, then just set abort_p and
* abort_alpha to 0.
* Function uses primes up to max_p .
*/
function ComputeAlpha( F, bound, abort_p, abort_alpha, max_p );
Q := PolynomialRing(Integers());
f := Q!Evaluate( F, [X, 1] );
disc := Discriminant( f );
a_d := Coefficient(f, Degree(f));
primes := [p : p in [1..max_p] | IsPrime(p)];
alpha := 0.0;
for p in primes do
cont_p := ComputeCont_p( p, disc, bound, F, f );
alpha +:= (1.0/(p-1) - cont_p)*Log(p);
/* early-abort strategy */
if p eq abort_p and alpha gt abort_alpha then
break;
end if;
end for;
return alpha;
end function;
/*
* Compute rho( x ) where rho is the Dickman rho function.
* This can be optimized by precomputing the coefficients of
* the polynomials and storing those coefficients for future calls.
*/
function DickmanRho( x );
if x le 1.0 then
return 1.0;
end if;
k := Ceiling( x );
zeta := k - x;
c := [];
c[1] := 1.0 - Log( 2.0 );
for i in [1..54] do
c[i+1] := 1.0 /(i * 2^i);
end for;
prev_c := [];
l := 2;
while l lt k do
for i in [0..54] do
prev_c[i+1] := c[i+1];
end for;
for i in [1..54] do
sum := 0.0;
for j in [0..i-1] do
sum := sum + prev_c[j+1]/(i * (l + 1.0)^(i-j) );
end for;
c[i+1] := sum;
end for;
sum := 0.0;
for j in [1..54] do
sum +:= c[j+1]/( j + 1.0 );
end for;
c[1] := sum/l;
l +:= 1;
end while;
rho_k := 0.0;
for i in [0..54] do
rho_k +:= c[i+1] * zeta^i;
end for;
return rho_k;
end function;
/*
* Quickly compute an approximation to the Dickman rho function.
*/
function ApproxDickmanRho( u );
if u le 1.0 then
return 1.0;
end if;
return u^-u;
end function;
/*
* Rate the polynomial pair F1 and F2 , where F1 has degree d
* and corresponding alpha value and F2 is linear. B1 and B2
* represent upperbounds for the primes in the algebraic and rational
* factor bases, respectively. High ratings tend to mean better
* polynomials.
*
* Actually, we modify his rating method in 2 ways.
* First, we divide through by K (the number of intervals) so that
* the rating is not proportional to the number of intervals we choose.
* Second, we add in a log B1^d to the numerator of u1 (which is
* equivalent to adding d to the whole quantity of u1 ) so that the
* rho values are more typical of what will happen in practice. A
* similar modification is done to the u2 computation.
*/
function RatePolynomials( F1, F2, alpha, B1, B2, d )
pi := Pi(RealField());
K := 1000;
rating := 0.0;
logB1 := Log( B1 );
logB2 := Log( B2 );
for i in [1..K] do
theta := pi/K*(i - 0.5);
tmp := Abs( Evaluate( F1, [Cos( theta ), Sin( theta ) ] ) );
u1 := ( Log( tmp ) + alpha ) / logB1 + d;
tmp := Abs( Evaluate( F2, [Cos( theta ), Sin( theta ) ] ) );
u2 := Log( tmp ) / logB2 + 1.0;
rating +:= ApproxDickmanRho( u1 ) * ApproxDickmanRho( u2 );
end for;
return rating/K;
end function;
/*
* Let X be a sequence, where X[i] represents the ranking
* of the i'th best polynomial under some ranking scheme. This
* function computes the correlation coefficient of the ranking scheme
* (i.e. it gives us an idea of how good the ranking scheme is).
*
* for example, to compute the correlation coefficient of the E-rank
* in table 6.4 of Murphy's thesis, you would send in X :=
* [ 1, 3, 6, 7, 2, 8, 4, 10, 5, 9, 15, 11, 18, 13, 12, 14, 17, 16 ] .
*
* Remark: there seem to be small differences between Murphy's and my
* calculations.
*/
function CorrelationCoeff( X )
/* compute eXY = expected value of X * Y where Y is identity
perumtation */
eXY := &+[X[i]*i: i in [1..#X]]/(#X + 0.0);
eX := (#X+1.0)/2.0;
eX2 := &+[X[i]*X[i]: i in [1..#X]]/(#X + 0.0);
sigma := Sqrt( eX2 - eX*eX );
return (eXY - eX*eX)/sigma^2;
end function;
/*
* Choose a leading coefficient for our polynomial. We want this leading
* coefficient to have lots of small prime factors, and to be close to
* high_a_d . This procedure uses randomness, so that we should get a
* new leading coefficient every time it is called (assuming it is not
* called too many times).
*/
function ChooseLeadingCoeff( high_a_d );
/* Start with some value for the leading coefficient c that has
* many small prime factors. However, don't let this start value
* get too close to high_a_d , since this can severely limit the
* number of unique leading coefficients we can get.
*/
c := 32 * 27 * 25 * 49 ;
c_limit := high_a_d div 300;
if 10*c gt c_limit then
c := 2 * 3 * 5 * 7;
if 10*c gt c_limit then
c := 2 * 3;
if 10*c gt c_limit then
c := 2;
end if;
end if;
end if;
if high_a_d lt 1000 then
primes := [2, 3, 5, 7, 11];
else
primes := [2, 3, 5, 7, 11, 13, 17, 19, 23, 29];
end if;
num_primes := #primes;
min := high_a_d div 2;
while c lt min do
p := primes[ Random( 1, num_primes ) ];
if c*p le high_a_d then
c := c * p;
end if;
end while;
return c;
end function;
/*
* Let n be the number we want to factor. This algorithm works
* something like Murphy's procedure 5.1.4 to find a good NFS polynomial.
* (though I've modified it to fit my own understanding, so there are
* definitely some differences from procedure 5.1.4). Remark: this
* function alone randomly chooses one leading coefficient a_d for
* the polynomials being searched. The user should try calling this
* several times so several leading coefficients are tried.
*
* Returns a sequence of tuples which contain candidate polynomials and
* information about those candidates. More precisely, the tuple has
* the following items (in this order):
* - the polynomial F ( F is homogeneous).
* - a rating for the polynomial F (see 5.7 in Murphy's thesis).
* - the alpha value (see section 3.2.3 of Murphy's thesis) of candidate
* polynomial F .
* - the m1 value corresponding to polynomial F (i.e F(m1, m2) = n ).
* - the m2 value corresponding to polynomial F . This function
* always has m2=1 .
*
* Description of input variables:
* n the number we want to factor.
*
* chi only consider polynomials that have all their
* leading coefficients <= m1 * chi
*
* max_k for each choice of the leading coefficient, only
* consider polynomials whose m1 lies within this
* range: [best_m1-max_k..best_m1+max_k] , where
* "best_m1" indicates the m1 which minimizes the
* coefficient a_{d-1} of polynomial F (where d
* is the degree of F ). This is used to limit the
* amount of time spent on a single leading coefficient.
* Also the number of m1 considered may be even
* smaller than the range indicated above since some of
* these m1 may correspond to a different leading
* coefficient.
*
* max_alpha The maximum value of alpha to allow for a polynomial
* to be a candidate. Generally you want this to be
* a negative number, say -1.0 or smaller. Values less
* than -3.0 are considered very good.
*
* max_cands maximum number of candidate polynomials to allow.
* (this is used to limit the amount of time spent
* on a single choice for the leading coefficient).
*
*/
function PolySearch1( n, chi, max_k, max_alpha, max_cands );
/* The set of return polynomials */
candidates := [];
/* select a degree according to the asymptotic formula */
d := Round( Root( 3 * Log(n)/Log(Log(n)) , 3 ) );
print "degree ", d;
/* Compute B - an upper bound for the factor base primes. This
will be used in Murphy's rating scheme for the candidate
polynomials */
dlogd := d*Log(d);
temp := 1.0/d * Log( n );
e := dlogd + Sqrt( dlogd^2 + 4*temp*Log(temp) );
B := Round( Exp( 0.5*e ) );
P := PolynomialRing(Integers(), 2);
m2 := 1;
/* Need to choose m1 between n^[1/(d+1)] and n^[1/d] .
Murphy's procedure 5.1.4 actually requests that m1 is
significantly larger than n^[1/(d+1)]. (This is implied
by the request that a_d is significantly smaller than its
corresponding m1 ). We allow the lowest m1 to be the
geometric mean of these two values. The use of the geomretic
mean just seems to work well - it can be changed.
*/
low_m1 := Iroot( Iroot( n, d+1 ) * Iroot( n, d ) , 2 );
high_m1 := Iroot( n, d );
low_a_d := n div high_m1^d;
high_a_d := n div low_m1^d;
c := ChooseLeadingCoeff( high_a_d );
print "using leading coeff ", c;
a_d := c;
if a_d lt low_a_d then
a_d := ((low_a_d div c) + 1) * c;
end if;
/* The value of m1 that causes a_{d-1} to be minimized */
best_m1 := Iroot( n div a_d, d );
/* Determine a_{d-1} for this value of best_m1 */
a_dminus1 := (n - a_d*best_m1^d) div best_m1^(d-1);
coeff_bound := Round( best_m1 * chi );
/* we try values between values [best_m1-k...best_m1+k] */
k := (coeff_bound - a_dminus1) div (a_d * d);
if k gt max_k then
k := max_k;
end if;
print "k=",k;
for m1 in [best_m1-k..best_m1+k] do
rem := n;
coeffs := [];
for i := d to 0 by -1 do
temp := m1^i;
coeff := rem div temp;
Append (~coeffs, coeff);
rem -:= coeff*temp;
end for;
m1div2 := m1 div 2;
/* adjust the coefficients to be between -m1div2 and m1div2 */
for i := d+1 to 2 by -1 do
if coeffs[i] gt m1div2 then
coeffs[i] -:= m1;
coeffs[i-1] +:= 1;
end if;
end for;
/* check that the coefficients are sufficiently small */
small_coeffs := true;
for i in [1..#coeffs] do
if Abs( coeffs[i] ) gt coeff_bound then
small_coeffs := false;
break;
end if;
end for;
if small_coeffs eq false then
continue;
end if;
F := P!0;
for i in [0..d] do
F +:= coeffs[i+1]*X^(d-i)*Y^i;
end for;
/* obtain a quick estimate for alpha */
alpha := ComputeAlpha( F, 2500, 11, max_alpha+0.5, 100 );
print m1, alpha;
if alpha le max_alpha then
/* get a more accurate value for alpha */
alpha := ComputeAlpha( F, 10000, 0, 0, 2000 );
print "recomputed alpha: ", alpha;
if alpha gt max_alpha then
continue;
end if;
/* create the linear polynomial */
F2 := X*m2 - Y*m1;
rating := RatePolynomials( F, F2, alpha, B, B, d );
Append( ~candidates, );
if #candidates eq max_cands then
break;
end if;
print F;
print "";
end if;
end for;
return candidates;
end function;
/*
* Let n be the number we want to factor. This algorithm calls a
* function named PolySearch1() which is similar to Murphy's procedure 5.1.4
* to find a good NFS polynomial. Each call to PolySearch1() uses a
* (hopefully) new leading coefficient, that is somewhat randomly chosen.
* Up to max_leading_coeffs will be tried.
*
* Returns a sequence of tuples which contain candidate polynomials and
* information about those candidates. More precisely, the tuple has
* the following items (in this order):
* - the polynomial F ( F is homogeneous).
* - a rating for the polynomial F (see 5.7 in Murphy's thesis).
* - the alpha value (see section 3.2.3 of Murphy's thesis) of candidate
* polynomial F .
* - the m1 value corresponding to polynomial F (i.e F(m1, m2) = n ).
* - the m2 value corresponding to polynomial F . This function
* always has m2=1 .
*
* Description of input variables:
* n the number we want to factor.
*
* chi only consider polynomials that have all their
* leading coefficients <= m1 * chi
*
* max_k for each choice of the leading coefficient, only
* consider polynomials whose m1 lies within this
* range: [best_m1-max_k..best_m1+max_k] , where
* "best_m1" indicates the m1 which minimizes the
* coefficient a_{d-1} of polynomial F (where d
* is the degree of F ). This is used to limit the
* amount of time spent on a single leading coefficient.
* Also the number of m1 considered may be even
* smaller than the range indicated above since some of
* these m1 may correspond to a different leading
* coefficient.
*
* max_alpha The maximum value of alpha to allow for a polynomial
* to be a candidate. Generally you want this to be
* a negative number, say -1.0 or smaller. Values less
* than -3.0 are considered very good.
*
* max_cands maximum number of candidate polynomials to allow.
* (this is used to limit the amount of time spent
* on a single choice for the leading coefficient).
*
*/
function MurphyPolynomial1( n, chi, max_k, max_alpha, max_cands,
max_leading_coeffs );
candidates := [];
for i in [1..max_leading_coeffs] do
new_cands := PolySearch1( n, chi, max_k, max_alpha, max_cands );
for j in [1..#new_cands] do
Append( ~candidates, new_cands[j] );
end for;
max_cands -:= #new_cands;
if max_cands eq 0 then
break;
end if;
end for;
return candidates;
end function;
Output: WARNING: PARI command contains unsafe command 'eval', so it will not be executed.
************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:53:33 2004
Input: ?factor;
Output: factor(x,{lim}): factorization of x. lim is optional and can be set whenever x
is of (possibly recursive) rational type. If lim is set return partial
factorization, using primes up to lim (up to primelimit if lim=0).
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:53:56 2004
Input: factor(11111111111111111);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:54:06 2004
Input: factor(11111111111111111)
Output:
[2071723 1]
[5363222357 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (212.128.18.14)
Time: Fri Jun 11 12:54:37 2004
Input: factor(11111111111111111111111111111111111111111111111111111111111111111111111111111111111)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.031s
user 0m20.860s
sys 0m0.140s
************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:30:12 2004
Input: exp(pi)
Output: 1 + pi + 1/2*pi^2 + 1/6*pi^3 + 1/24*pi^4 + 1/120*pi^5 + 1/720*pi^6 + 1/5040*pi^7 + 1/40320*pi^8 + 1/362880*pi^9 + 1/3628800*pi^10 + 1/39916800*pi^11 + 1/479001600*pi^12 + 1/6227020800*pi^13 + 1/87178291200*pi^14 + 1/1307674368000*pi^15 + O(pi^16)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:31:11 2004
Input: exp(pi*srt(x))
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: exp(pi*srt(x))
^-
Timing:
real 0m0.072s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:31:31 2004
Input: exp(pi*sqrt(x))
Output:
Errors (if any) and Timing Info: *** odd exponent in gsqrt
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:32:57 2004
Input: exp(x)=2
Output:
Errors (if any) and Timing Info: *** unexpected character: exp(x)=2
^--
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host m162.net81-67-252.noos.fr. (81.67.252.162)
Time: Fri Jun 11 15:33:26 2004
Input: exp(x*x)
Output: 1 + x^2 + 1/2*x^4 + 1/6*x^6 + 1/24*x^8 + 1/120*x^10 + 1/720*x^12 + 1/5040*x^14 + O(x^16)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:01:27 2004
Input: > // (inefficient) search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit
> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;
Output: exceededlimit
Errors (if any) and Timing Info: *** unexpected character: >//(inefficient)sear
^--------------------
*** unexpected character: >n:=1000;
^---------
*** unexpected character: >repeat
^-------
*** incorrect type in comparison.
*** incorrect type in comparison.
*** expected character: '(' instead of: repeat|if>print"exceeded limi
^--------------------
*** unexpected character: repeat>n+:=1;
^----
*** incorrect type in comparison.
*** expected character: '(' instead of: repeat|if>print"exceeded limi
^--------------------
*** expected character: '(' instead of: repeat|if>break;
^-------
*** expected character: '(' instead of: repeat|if>endif;
^-------
*** unknown function or error in formal parameters: repeat>untilneq&+Prune(
*** Divisors(n));
^-------------
*** unexpected character: >p:=10037;
^----------
*** unexpected character: >forxin[1..100]do
^-----------------
*** expected character: '(' instead of: for>foryin[1..100]do
^-----------------
*** expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
^--------------------
*** expected character: '(' instead of: for|for|if>printx,y;
^-----------------
*** expected character: '(' instead of: for|for|if>break;
^--------------
*** expected character: '(' instead of: for|for|if>endif;
^--------------
*** expected character: '(' instead of: for|for>endfor;
^------------
*** expected character: '(' instead of: for>endfor;
^--------
Timing:
real 0m0.078s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:01:48 2004
Input: > // (inefficient) search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit
> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;
Output: exceededlimit
Errors (if any) and Timing Info: *** unexpected character: >//(inefficient)sear
^--------------------
*** unexpected character: >n:=1000;
^---------
*** unexpected character: >repeat
^-------
*** incorrect type in comparison.
*** incorrect type in comparison.
*** unexpected character: repeat>n+:=1;
^----
*** incorrect type in comparison.
*** expected character: '(' instead of: repeat|if>print"exceeded limi
^--------------------
*** expected character: '(' instead of: repeat|if>break;
^-------
*** expected character: '(' instead of: repeat|if>endif;
^-------
*** unknown function or error in formal parameters: repeat>untilneq&+Prune(
*** Divisors(n));
^-------------
*** unexpected character: >p:=10037;
^----------
*** unexpected character: >forxin[1..100]do
^-----------------
*** expected character: '(' instead of: for>foryin[1..100]do
^-----------------
*** expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
^--------------------
*** expected character: '(' instead of: for|for|if>printx,y;
^-----------------
*** expected character: '(' instead of: for|for|if>break;
^--------------
*** expected character: '(' instead of: for|for|if>endif;
^--------------
*** expected character: '(' instead of: for|for>endfor;
^------------
*** expected character: '(' instead of: for>endfor;
^--------
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:02:00 2004
Input: > (inefficient) search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit
> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;
Output: exceededlimit
Errors (if any) and Timing Info: *** unexpected character: >(inefficient)search
^--------------------
*** unexpected character: >n:=1000;
^---------
*** unexpected character: >repeat
^-------
*** incorrect type in comparison.
*** incorrect type in comparison.
*** unexpected character: repeat>n+:=1;
^----
*** incorrect type in comparison.
*** expected character: '(' instead of: repeat|if>print"exceeded limi
^--------------------
*** expected character: '(' instead of: repeat|if>break;
^-------
*** expected character: '(' instead of: repeat|if>endif;
^-------
*** unknown function or error in formal parameters: repeat>untilneq&+Prune(
*** Divisors(n));
^-------------
*** unexpected character: >p:=10037;
^----------
*** unexpected character: >forxin[1..100]do
^-----------------
*** expected character: '(' instead of: for>foryin[1..100]do
^-----------------
*** expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
^--------------------
*** expected character: '(' instead of: for|for|if>printx,y;
^-----------------
*** expected character: '(' instead of: for|for|if>break;
^--------------
*** expected character: '(' instead of: for|for|if>endif;
^--------------
*** expected character: '(' instead of: for|for>endfor;
^------------
*** expected character: '(' instead of: for>endfor;
^--------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:02:12 2004
Input: search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> print "exceeded limit";
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit
> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;
Output: searchforthenextperfectnumberaboven
exceededlimit
Errors (if any) and Timing Info: *** unexpected character: >n:=1000;
^---------
*** unexpected character: >repeat
^-------
*** incorrect type in comparison.
*** incorrect type in comparison.
*** unexpected character: repeat>n+:=1;
^----
*** incorrect type in comparison.
*** expected character: '(' instead of: repeat|if>print"exceeded limi
^--------------------
*** expected character: '(' instead of: repeat|if>break;
^-------
*** expected character: '(' instead of: repeat|if>endif;
^-------
*** unknown function or error in formal parameters: repeat>untilneq&+Prune(
*** Divisors(n));
^-------------
*** unexpected character: >p:=10037;
^----------
*** unexpected character: >forxin[1..100]do
^-----------------
*** expected character: '(' instead of: for>foryin[1..100]do
^-----------------
*** expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
^--------------------
*** expected character: '(' instead of: for|for|if>printx,y;
^-----------------
*** expected character: '(' instead of: for|for|if>break;
^--------------
*** expected character: '(' instead of: for|for|if>endif;
^--------------
*** expected character: '(' instead of: for|for>endfor;
^------------
*** expected character: '(' instead of: for>endfor;
^--------
Timing:
real 0m0.079s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 07:02:38 2004
Input: search for the next perfect number above n
> n := 1000;
> repeat
repeat> n = 1;
repeat> if n gt 5000 then
repeat> n +:= 1;
repeat> if n gt 5000 then
repeat|if> break;
repeat|if> end if;
repeat> until n eq &+Prune(Divisors(n));
exceeded limit
> p := 10037;
> for x in [1..100] do
for> for y in [1..100] do
for|for> if x^2 + y^2 eq p then
for|for|if> print x, y;
for|for|if> break;
for|for|if> end if;
for|for> end for;
for> end for;
Output: searchforthenextperfectnumberaboven
exceededlimit
Errors (if any) and Timing Info: *** unexpected character: >n:=1000;
^---------
*** unexpected character: >repeat
^-------
*** incorrect type in comparison.
*** incorrect type in comparison.
*** unexpected character: repeat>n+:=1;
^----
*** incorrect type in comparison.
*** expected character: '(' instead of: repeat|if>break;
^-------
*** expected character: '(' instead of: repeat|if>endif;
^-------
*** unknown function or error in formal parameters: repeat>untilneq&+Prune(
*** Divisors(n));
^-------------
*** unexpected character: >p:=10037;
^----------
*** unexpected character: >forxin[1..100]do
^-----------------
*** expected character: '(' instead of: for>foryin[1..100]do
^-----------------
*** expected character: '(' instead of: for|for>ifx^2+y^2eqpthe
^--------------------
*** expected character: '(' instead of: for|for|if>printx,y;
^-----------------
*** expected character: '(' instead of: for|for|if>break;
^--------------
*** expected character: '(' instead of: for|for|if>endif;
^--------------
*** expected character: '(' instead of: for|for>endfor;
^------------
*** expected character: '(' instead of: for>endfor;
^--------
Timing:
real 0m0.071s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host matist-207.science.ankara.edu.tr. (80.251.35.207)
Time: Sat Jun 12 08:51:34 2004
Input: gplist := procedure( g, ~gss, ~gsn, ~gsl )
s := { Id(g) };
t1 := [Id(g)];
q1 := [0];
n := NumberOfGenerators(g);
gss := t1;
gsn := q1;
gsl := q1;
u := [];
for i := 1 to n do
u := u cat [g.i];
end for;
j := 0;
more := true;
while more do
more := false;
t2 := [];
p2 := [];
q2 := [];
j := j+1;
for k := 1 to n do
for l := 1 to #(t1) do
z := t1[l]*u[k];
if not ( z in s ) then
s := s join { z };
t2 := t2 cat [z];
p2 := p2 cat [j];
m := (10*q1[l])+k;
q2 := q2 cat [m];
more := true;
end if;
end for;
end for;
gss := gss cat t2;
gsn := gsn cat p2;
gsl := gsl cat q2;
t1 := t2;
q1 := q2;
end while;
end procedure;
subgpl := procedure( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl )
hss := [];
hsn := [];
hsl := [];
for i := 1 to #(gss) do
if gss[i] in h then
hss := hss cat [gss[i]];
hsn := hsn cat [gsn[i]];
hsl := hsl cat [gsl[i]];
end if;
end for;
end procedure;
organi := procedure( g,hss,gss, h, ~trl, ~hcos )
trl := [];
hcos := [];
g1 := { };
for i := 1 to #(gss) do
z := gss[i];
h1:={};
if not (z in g1) then
for j:=1 to #(hss) do
z1:=hss[j]*z;
h1:=h1 join {z1};
end for;
hcos := hcos cat [h1];
trl := trl cat [z];
g1 := g1 join h1;
end if;
end for;
end procedure;
coords := procedure( v, ech, m, vs, k, n, ~vco, ~sco )
vco := Zero(vs);
zerok := k!0;
sco := [ zerok : i in [ 1 .. n ] ];
vv := v;
for i := 1 to n do
echi := ech[i];
for j := i to m do
if echi[j] ne zerok then
if vv[j] ne zerok then
vco[i] := vv[j];
sco[i] := vv[j];
vv := vv diff (vv[j]*ech[i]);
end if;
break;
end if;
end for;
end for;
end procedure;
action := procedure( b, trl, hcos, k, m, glv, ~matg)
zerok := k!0;
onek := k!1;
fullsq := [];
zz := [ zerok : i in [ 1 .. m ] ];
for i := 1 to m do
ww := zz;
b1 := trl[i]*b;
for j := 1 to m do
if b1 in hcos[j] then
ww[j] := onek;
break;
end if;
end for;
fullsq := fullsq cat ww;
end for;
matg :=glv!fullsq;
end procedure;
newech := procedure( vlst, m, k, ~ech )
zerok := k!0;
r := #(vlst);
vl := [];
for i := 1 to r do
vl := vl cat [vlst[i]];
end for;
z := [ 0 : i in [ 1 .. r ] ];
zz := [ 0 : i in [ 1 .. r ] ];
l := 0;
for j := 1 to m do
for i := 1 to r do
w := vl[i];
if (w[j] eq zerok) or (zz[i] ne 0) then
continue;
end if;
l := l+1;
z[l] := i;
zz[i] := l;
w := (w[j]^(-1))*vl[i];
vl[i] := w;
for i := 1 to r do
w1 := vl[i];
if (w1[j] eq zerok) or (z[l] eq i) then
continue;
end if;
vl[i] := vl[i] diff (w1[j]*w) ;
end for;
break;
end for;
if l eq r then
break;
end if;
end for;
ech := [];
if l ne r then
print "error in newech: vlst has size", r, " and dimension", l;
return;
end if;
for i := 1 to r do
ech := ech cat [vl[z[i]]];
end for;
end procedure;
k:= FiniteField( 101 );
min1k := -(k!1);
zerok := k!0;
v := VectorSpace(k, 2) ;
g := GeneralLinearGroup(v);
g := sub< g | [-1, 1, 0, 1],
[1, 0, 1, -1]>;
gid := Identity(g) ;
h := sub< g | a1> ;
print #(g);
print #(h);
gplist( g, ~gss, ~gsn, ~gsl );
subgpl ( gss, gsn, gsl, h, ~hss, ~hsn, ~hsl );
organi( g,hss,gss, h, ~trl, ~hcos );
m := #(trl);
print "gens = ", Ngens(g), " order = ", #(gss), " index = ", m;
vs := VectorSpace(k, m) ;
zz := Zero(vs);
glv := GeneralLinearGroup(vs);
gsq := [];
for i := 1 to Ngens(g) do
action( g.i, trl,hcos, k, m, glv, ~matg);
gsq := gsq cat [matg];
end for;
print trl;
quit;
Output: WARNING: PARI command contains unsafe command 'quit', so it will not be executed.
************** PARI *****************
Host host-81-190-52-209.lublin.mm.pl. (81.190.52.209)
Time: Sun Jun 13 04:23:32 2004
Input: 17
19
Output: 17
19
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:13:27 2004
Input: factor (96880162584451340130465
)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...r(96880162584451340130465
^
*** unused characters: )
^-
Timing:
real 0m0.078s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:13:35 2004
Input: factor(96880162584451340130465)
Output:
[3 1]
[5 1]
[11 1]
[13 1]
[19 1]
[29 1]
[37 1]
[53 1]
[59 1]
[591499 1]
[1197767 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:15:20 2004
Input: factor(111546435)
Output:
[3 1]
[5 1]
[7 1]
[11 1]
[13 1]
[17 1]
[19 1]
[23 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:32:09 2004
Input: factor(7455602825647884208337395736200454918783366342657)
Output:
[7455602825647884208337395736200454918783366342657 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:40:18 2004
Input: factor(52352)
Output:
[2 7]
[409 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:40:58 2004
Input: factor(52352+2*261735)
Output:
[2 1]
[13 1]
[22147 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host t177223.ap.plala.or.jp. (220.220.177.223)
Time: Sun Jun 13 12:41:30 2004
Input: factor(52352+2^7*261735)
Output:
[2 25]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host duvar.bilten.metu.edu.tr. (193.140.92.250)
Time: Mon Jun 14 11:11:09 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host massena-2-81-57-128-70.fbx.proxad.net. (81.57.128.70)
Time: Mon Jun 14 13:07:25 2004
Input: Q := RationalField();
Q;
IsFinite(Q);
qmlk;
AGCode;
Output:
Errors (if any) and Timing Info: *** unexpected character: Q:=RationalField();
^-----------------
*** expected character: '=' instead of: IsFinite(Q);
^-
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host xm218.internetdsl.tpnet.pl. (80.55.220.218)
Time: Mon Jun 14 15:16:52 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host v9-p-199.valley.net. (198.115.167.199)
Time: Mon Jun 14 19:06:17 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (195.117.151.40)
Time: Tue Jun 15 08:37:14 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (195.117.151.40)
Time: Tue Jun 15 08:38:19 2004
Input: 1111111
Output: 1111111
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host janon.univ-st-etienne.fr. (161.3.1.42)
Time: Tue Jun 15 11:28:22 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:21:23 2004
Input: contfrac(tan(x))
Output: [929569/638512875*x^15 + 21844/6081075*x^13 + 1382/155925*x^11 + 62/2835*x^9 + 17/315*x^7 + 2/15*x^5 + 1/3*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:21:49 2004
Input: contfrac(tanh(x))
Output: [-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:22:26 2004
Input: (tanh(x))
Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:24:19 2004
Input: (tanh(x),x)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: (tanh(x),x)
^---
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:24:31 2004
Input: contfrac(tanh(x),x)
Output:
Errors (if any) and Timing Info: *** incorrect type in contfrac0.
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:26:01 2004
Input: contfrac(tanh(x),1)
Output: [-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:26:38 2004
Input: f = tanh(x)
contfrac(f,1)
Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
[-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:26:47 2004
Input: f := tanh(x)
contfrac(f,1)
Output: [f]
Errors (if any) and Timing Info: *** unexpected character: f:=tanh(x)
^--------
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:05 2004
Input: f = tanh(x)
contfrac(f,1)
Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
[-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:17 2004
Input: f = tanh(x)
contfracpnqn(f,1)
Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
Errors (if any) and Timing Info: *** expected character: ')' instead of: contfracpnqn(f,1)
^---
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:30 2004
Input: f = tanh(x)
contfracpnqn(f)
Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
Errors (if any) and Timing Info: *** incorrect type in pnqn.
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:29:44 2004
Input: f = tanh(x)
contfracpnqn(contfrac(f))
Output: x - 1/3*x^3 + 2/15*x^5 - 17/315*x^7 + 62/2835*x^9 - 1382/155925*x^11 + 21844/6081075*x^13 - 929569/638512875*x^15 + O(x^16)
[-929569/638512875*x^15 + 21844/6081075*x^13 - 1382/155925*x^11 + 62/2835*x^9 - 17/315*x^7 + 2/15*x^5 - 1/3*x^3 + x 1]
[1 0]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:34:27 2004
Input: contfrac(tan(x),[1 1 1 1])
Output: [93886469/58046625*x^15 + 2206244/552825*x^13 + 139582/14175*x^11 + 68882/2835*x^9 + 18887/315*x^7 + 2222/15*x^5 + 1111/3*x^3 + 1111*x]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:34:56 2004
Input: contfrac(tan(x),[1, 1, 1, 1])
Output: [929569/638512875*x^15 + 21844/6081075*x^13 + 1382/155925*x^11 + 62/2835*x^9 + 17/315*x^7 + 2/15*x^5 + 1/3*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host PCsec120.cem2.univ-montp2.fr. (162.38.134.120)
Time: Tue Jun 15 12:35:11 2004
Input: contfrac(sin(x),[1, 1, 1, 1])
Output: [-1/1307674368000*x^15 + 1/6227020800*x^13 - 1/39916800*x^11 + 1/362880*x^9 - 1/5040*x^7 + 1/120*x^5 - 1/6*x^3 + x]
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 65-165-165-153.du.volcano.net. (65.165.165.153)
Time: Tue Jun 15 12:55:46 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 213-94-148-68.bas1.chf.cork.eircom.net. (213.94.148.68)
Time: Tue Jun 15 16:51:33 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Tue Jun 15 18:55:05 2004
Input: factor(20050101)
Output:
[3 2]
[2227789 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Tue Jun 15 18:55:27 2004
Input: factor(20041231)
Output:
[7 1]
[677 1]
[4229 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:24:05 2004
Input: 1 & 3
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.268s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:28:10 2004
Input: 1 & 0XF
Output:
Errors (if any) and Timing Info: *** unused characters: 1&0XF
^--
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:28:50 2004
Input: 1 & F
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:28:59 2004
Input: 1 & E
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:29:08 2004
Input: 1 & 4
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host lan-202-144-120-5.maa.sify.net. (202.144.120.5)
Time: Wed Jun 16 08:29:17 2004
Input: 1 && 4
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:06:16 2004
Input: factor(6719191214356169351611915828935976306063961795617665117693268061849946173)
Output:
[6719191214356169351611915828935976306063961795617665117693268061849946173 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.093s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:06:29 2004
Input: factor(93908811329570508550272588323170553)
Output:
[93908811329570508550272588323170553 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:07:07 2004
Input: factor(630991260036281259886402316034303451956305235990182559344245148237900478535525502233923356202691031748643669 )
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.075s
user 0m20.950s
sys 0m0.050s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:24:34 2004
Input: factor(1478708137106153319640812784944889979622168767628424208853893311341778989745187735902392909054237417103)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.991s
user 0m20.980s
sys 0m0.020s
************** PARI *****************
Host i110154.ap.plala.or.jp. (218.47.110.154)
Time: Wed Jun 16 11:26:47 2004
Input: factor(323857890777093878716959589105483444373101014839588665920630418646295321595813394955010321130097403)
Output:
[323857890777093878716959589105483444373101014839588665920630418646295321595813394955010321130097403 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.140s
user 0m0.130s
sys 0m0.010s
************** PARI *****************
Host 201-254-96-98.speedy.com.ar. (201.254.96.98)
Time: Wed Jun 16 13:43:47 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:02:17 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:02:35 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:02:54 2004
Input: 5/5
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (165.213.0.30)
Time: Wed Jun 16 20:03:18 2004
Input: 6694+9998
Output: 16692
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dyn-shp-225-24.dyn.columbia.edu. (160.39.225.24)
Time: Thu Jun 17 00:37:17 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host soleil.univ-fcomte.fr. (194.57.84.1)
Time: Thu Jun 17 05:46:57 2004
Input: > k:= FunctionField(GF(2));
> R:= PolynomialRing(k);
> f:= x^4 + t*x^2 + 2*t^4;
> G, r, p:= GaloisGroup(f);
> G;
Output:
Errors (if any) and Timing Info: *** unexpected character: >k:=FunctionField
^--------------------
*** unexpected character: >R:=PolynomialRin
^--------------------
*** unexpected character: >f:=x^4+t*x^2+2*t^4;
^--------------------
*** unexpected character: >G,r,p:=GaloisGroup(
^--------------------
*** unexpected character: >G;
^---
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host host149-108.pool8248.interbusiness.it. (82.48.108.149)
Time: Thu Jun 17 08:48:46 2004
Input: 1531453
Output: 1531453
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host TYO112.gate.nec.co.jp. (202.32.8.234)
Time: Thu Jun 17 20:50:07 2004
Input: RandomHEC_3_2:=procedure();
K:=GF(2);
P:=PolynomialRing(K);
S4:=car;
S7:=car;
a:=Random(S4);
b:=Random(S7);
h:=P!(a[1]+a[2]*x+a[3]*x^2+a[4]*x^3);
f:=P!(b[1]+b[2]*x+b[3]*x^2+b[4]*x^3+b[5]*x^4+b[6]*x^5
+b[7]*x^6+x^7);
print IsHyperellipticCurve([f,h]);
end procedure;
RandomHEC_3_2();
Output:
Errors (if any) and Timing Info: *** unexpected character: RandomHEC_3_2:=procedure();
^-------------
*** unexpected character: K:=GF(2);
^-------
*** unexpected character: P:=PolynomialRing(K);
^--------------------
*** unexpected character: S4:=car;
^--------------
*** unexpected character: S7:=car;
^--------------------
*** unexpected character: a:=Random(S4);
^------------
*** unexpected character: b:=Random(S7);
^------------
*** unexpected character: h:=P!(a[1]+a[2]*x+a[3]
^--------------------
*** unexpected character: f:=P!(b[1]+b[2]*x+b[3]
^--------------------
*** unused characters: +b[7]*x^6+x^7);
^--
*** unknown function or error in formal parameters: printIsHyperelliptic
^--------------------
*** expected character: '=' instead of: RandomHEC_3_2();
^-
Timing:
real 0m0.082s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host TYO111.gate.nec.co.jp. (202.32.8.233)
Time: Fri Jun 18 00:46:58 2004
Input: 1+1+9+7+67898;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 4n25.math.upenn.edu. (130.91.51.128)
Time: Fri Jun 18 11:31:10 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.109s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:20:17 2004
Input: i:=chinese(Mod(2,3),Mod(0,5))
Output:
Errors (if any) and Timing Info: *** unexpected character: i:=chinese(Mod(2,3),Mo
^--------------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:20:26 2004
Input: i=chinese(Mod(2,3),Mod(0,5))
Output: Mod(5, 15)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:21:17 2004
Input: i=chinese(Mod(2,3),Mod(0,5))
i=chinese(i,Mod(5,7))
i=chinese(i,Mod(10,11))
i=chinese(i,Mod(4,13))
i=chinese(i,Mod(2,17))
Output: Mod(5, 15)
Mod(5, 105)
Mod(1055, 1155)
Mod(14915, 15015)
Mod(255155, 255255)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:21:52 2004
Input: i=chinese(Mod(2,3),Mod(0,5))
i=chinese(i,Mod(5,7))
i=chinese(i,Mod(10,11))
i=chinese(i,Mod(4,13))
i=chinese(i,Mod(2,17))
i=chinese(i,Mod(14,19))
Output: Mod(5, 15)
Mod(5, 105)
Mod(1055, 1155)
Mod(14915, 15015)
Mod(255155, 255255)
Mod(4849745, 4849845)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 05:22:50 2004
Input: i=chinese(Mod(0,3),Mod(1,5))
i=chinese(i,Mod(1,7))
i=chinese(i,Mod(8,11))
i=chinese(i,Mod(8,13))
i=chinese(i,Mod(7,17))
i=chinese(i,Mod(10,19))
Output: Mod(6, 15)
Mod(36, 105)
Mod(1086, 1155)
Mod(8016, 15015)
Mod(128136, 255255)
Mod(4722726, 4849845)
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 09:52:24 2004
Input: i=chinese(Mod(0,3),Mod(4,5))
i=chinese(i,Mod(3,7))
i=chinese(i,Mod(1,11))
i=chinese(i,Mod(5,13))
i=chinese(i,Mod(16,17))
Output: Mod(9, 15)
Mod(24, 105)
Mod(969, 1155)
Mod(2124, 15015)
Mod(2124, 255255)
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 09:53:02 2004
Input: i=chinese(Mod(0,2),Mod(0,5))
i=chinese(i,Mod(6,7))
i=chinese(i,Mod(2,11))
i=chinese(i,Mod(10,13))
i=chinese(i,Mod(16,17))
Output: Mod(0, 10)
Mod(20, 70)
Mod(90, 770)
Mod(6250, 10010)
Mod(46290, 170170)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host electr007-2.chem.msu.ru. (212.192.241.164)
Time: Sat Jun 19 09:53:21 2004
Input: i=chinese(Mod(2,3),Mod(0,5))
i=chinese(i,Mod(6,7))
i=chinese(i,Mod(2,11))
i=chinese(i,Mod(10,13))
i=chinese(i,Mod(16,17))
Output: Mod(5, 15)
Mod(20, 105)
Mod(860, 1155)
Mod(11255, 15015)
Mod(131375, 255255)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 100.pittsburgh-08rh16rt.pa.dial-access.att.net. (12.76.123.100)
Time: Sat Jun 19 21:02:35 2004
Input: ?print
?29
Output: print(a): outputs a (in raw format) ending with newline.
Errors (if any) and Timing Info: *** no such section in help: ?: 29
^--
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (164.129.1.39)
Time: Sun Jun 20 02:30:46 2004
Input: 2^12
Output: 4096
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (164.129.1.39)
Time: Sun Jun 20 02:31:05 2004
Input: 1000!
Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 24-119-164-223.cpe.cableone.net. (24.119.164.223)
Time: Sun Jun 20 09:58:09 2004
Input: 2^2^136
Output:
Errors (if any) and Timing Info: *** impossible assignment I-->S
Timing:
real 0m4.012s
user 0m0.060s
sys 0m0.100s
************** PARI *****************
Host 3(NXDOMAIN) (151.96.0.8)
Time: Mon Jun 21 08:19:24 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.102s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host badiane.ens.fr. (129.199.98.43)
Time: Mon Jun 21 09:45:59 2004
Input: 3+4;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:39:26 2004
Input: factor(99999999999999999)
Output:
[3 2]
[2071723 1]
[5363222357 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:40:49 2004
Input: factor(999999999999999999999999999999999999999999999)
Output:
[3 4]
[31 1]
[37 1]
[41 1]
[271 1]
[238681 1]
[333667 1]
[2906161 1]
[4185502830133110721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.113s
user 0m0.080s
sys 0m0.030s
************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:41:16 2004
Input: factor(999999999999999999999999999999999999999999999999999999999999999999)
Output:
[3 3]
[7 1]
[11 2]
[13 1]
[23 1]
[37 1]
[67 1]
[4093 1]
[8779 1]
[21649 1]
[513239 1]
[599144041 1]
[183411838171 1]
[1344628210313298373 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.826s
user 0m0.720s
sys 0m0.110s
************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:42:11 2004
Input: factor(99999999999999999999999999999999999999999999999999999999999999999999999999999)
Output:
[3 2]
[239 1]
[4649 1]
[5237 1]
[21649 1]
[42043 1]
[513239 1]
[29920507 1]
[136614668576002329371496447555915740910181043 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.157s
user 0m0.140s
sys 0m0.020s
************** PARI *****************
Host cache00.erlm.siemens.de. (217.194.34.120)
Time: Mon Jun 21 11:42:57 2004
Input: factor(999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.996s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 15:58:17 2004
Input: (a+b)*(a+b)
Output: a^2 + 2*b*a + b^2
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 15:58:50 2004
Input: (((a+b)*(a+b)+c)*a
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: (((a+b)*(a+b)+c)*a
^
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 15:59:07 2004
Input: (((a+b)*(a+b)+c)*a) * b
Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:01:15 2004
Input: (((a+b)*(a+b)+c)*a) * b
Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:11:11 2004
Input: (((a+b)*(a+b)+c)*a) * b
a:=4
Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a
Errors (if any) and Timing Info: *** unexpected character: a:=4
^--
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:11:28 2004
Input: (((a+b)*(a+b)+c)*a) * b
a=4
Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a
4
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:11:44 2004
Input:
a=4
(((a+b)*(a+b)+c)*a) * b
Output: 4
4*b^3 + 32*b^2 + (4*c + 64)*b
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:12:05 2004
Input: a=4 b=2
(((a+b)*(a+b)+c)*a) * b
Output: b*a^3 + 2*b^2*a^2 + (b^3 + c*b)*a
Errors (if any) and Timing Info: *** unused characters: a=4b=2
^---
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:12:16 2004
Input: a=4
b=2
(((a+b)*(a+b)+c)*a) * b
Output: 4
2
8*c + 288
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:13:09 2004
Input: a=4
b=2
(a+b)/7
Output: 4
2
6/7
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 16:13:27 2004
Input: a=4
b=2
(a+b)/7+13/27 + 54/12 +1/3
Output: 4
2
2333/378
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host roam243-171.fas.harvard.edu. (140.247.243.171)
Time: Tue Jun 22 17:49:35 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:09:48 2004
Input: a=4
b=2
(a+b)/7+13/27 + 54/12 +1/3 +23/171
Output: 4
2
45293/7182
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 183-79-131.ip.adsl.hu. (81.183.79.131)
Time: Tue Jun 22 19:13:49 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:14:43 2004
Input: a=4
b=2
(a+b)/7+13/27 + 54/12 +1/3 +23/171
Output: 4
2
45293/7182
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.020s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:14:59 2004
Input: a=4
b=2
9^9
Output: 4
2
387420489
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508E4980.dip0.t-ipconnect.de. (80.142.73.128)
Time: Tue Jun 22 19:15:38 2004
Input: a=4
b=2
9^9^9
Output: 4
2
Errors (if any) and Timing Info:
Timing:
real 0m21.004s
user 0m20.980s
sys 0m0.020s
************** PARI *****************
Host PCN114.MI.Uni-Koeln.DE. (134.95.214.114)
Time: Wed Jun 23 12:00:02 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host Mix-Tours-111-3-13.w80-9.abo.wanadoo.fr. (80.9.58.13)
Time: Wed Jun 23 12:16:15 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host flash.visit.se. (212.214.112.51)
Time: Wed Jun 23 12:46:58 2004
Input: p 100
Pi
Output: p100
3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 99-168-89-200.fibertel.com.ar. (200.89.168.99)
Time: Wed Jun 23 12:54:53 2004
Input: factor(20)
Output:
[2 2]
[5 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host adsl-222-52-66.msy.bellsouth.net. (68.222.52.66)
Time: Wed Jun 23 20:10:01 2004
Input: int(x/(x^3+1),x)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: int(x/(x^3+1),x)
^-----------
Timing:
real 0m0.067s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip68-1-108-75.pn.at.cox.net. (68.1.108.75)
Time: Thu Jun 24 01:44:29 2004
Input: int(x,x)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: int(x,x)
^
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ip68-1-108-75.pn.at.cox.net. (68.1.108.75)
Time: Thu Jun 24 01:44:38 2004
Input: int(12)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: int(12)
^-------
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host pD9FF35A8.dip.t-dialin.net. (217.255.53.168)
Time: Thu Jun 24 17:53:10 2004
Input: P := PolynomialRing(IntegerRing());
P;
Factorization(x^254 + 1);
Output:
Errors (if any) and Timing Info: *** unexpected character: P:=PolynomialRing(Int
^--------------------
*** expected character: ',' instead of: Factorization(x^254+1);
^--------
Timing:
real 0m0.073s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Fri Jun 25 04:33:51 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:41:57 2004
Input: 9501438237425119273
Output: 9501438237425119273
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:42:17 2004
Input: factor(9501438237425119273)
Output:
[2759873867 1]
[3442707419 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.087s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:42:35 2004
Input: factor(9501438237425119273)
Output:
[2759873867 1]
[3442707419 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:42:53 2004
Input: factor(182028035353848708594075846722780132041)
Output:
[12080930389350313619 1]
[15067385498248681139 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.615s
user 0m0.530s
sys 0m0.070s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:43:28 2004
Input: factor(1306519970120617431813075692139401793100104367043472324667921)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.996s
user 0m20.950s
sys 0m0.060s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:44:08 2004
Input: factor(870138153109350498796232279092074938593555922630289673)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.036s
user 0m20.690s
sys 0m0.310s
************** PARI *****************
Host bom84.neoplus.adsl.tpnet.pl. (83.29.28.84)
Time: Fri Jun 25 05:44:27 2004
Input: factor(850482826348650430090853202264790975534614601)
Output:
[28214821916443477327643 1]
[30143122252102278297707 1]
Errors (if any) and Timing Info:
Timing:
real 0m2.534s
user 0m2.350s
sys 0m0.180s
************** PARI *****************
Host 3(NXDOMAIN) (203.195.105.34)
Time: Fri Jun 25 17:14:27 2004
Input: fsolve(poly(cos(Pi/13)))
Output:
Errors (if any) and Timing Info: *** obsolete function: fsolve(poly(cos(Pi/13)))
^-----------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: poly(x,v) ===> Pol(x,v)
Pol(x,{v=x}): convert x (usually a vector or a power series) into a polynomial
with variable v, starting with the leading coefficient.
Timing:
real 0m0.078s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:07:52 2004
Input: factor(3195981379584448522341974688808361163303854932209686092870505614398770919051791)
Output:
[3195981379584448522341974688808361163303854932209686092870505614398770919051791 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.102s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:05 2004
Input: factor(495180738797335607630501803)
Output:
[495180738797335607630501803 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:15 2004
Input: factor(75079591361986744553105725858443190109552529947254157878222972999835280327819906779)
Output:
[75079591361986744553105725858443190109552529947254157878222972999835280327819906779 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.106s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:26 2004
Input: factor(17478280431202086397405680487)
Output:
[17478280431202086397405680487 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host i138244.ap.plala.or.jp. (218.47.138.244)
Time: Sat Jun 26 00:08:30 2004
Input: factor(174782804312020863974056804871)
Output:
[79 1]
[701 1]
[4241 1]
[65353 1]
[11387274582028613 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host KHP222009073098.ppp-bb.dion.ne.jp. (222.9.73.98)
Time: Sat Jun 26 10:37:51 2004
Input: x:=13;
y := x^2-2;
x, y;
Output:
Errors (if any) and Timing Info: *** unexpected character: x:=13;
^----
*** unexpected character: y:=x^2-2;
^-------
*** unused characters: x,y;
^---
Timing:
real 0m0.109s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (217.117.66.246)
Time: Sat Jun 26 13:26:14 2004
Input: arcsin30
Output: arcsin30
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:35:19 2004
Input: factor(15)
Output:
[3 1]
[5 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:35:58 2004
Input: factor(561)
Output:
[3 1]
[11 1]
[17 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:36:58 2004
Input: factor(1434367565686897)
Output:
[67679 1]
[21193687343 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host adsl-63-195-184-79.dsl.snfc21.pacbell.net. (63.195.184.79)
Time: Sat Jun 26 17:37:17 2004
Input: factor(21193687343)
Output:
[21193687343 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 81-86-74-19.dsl.pipex.com. (81.86.74.19)
Time: Sat Jun 26 19:09:47 2004
Input: 2^128
Output: 340282366920938463463374607431768211456
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dsl-linz7-17-188.utaonline.at. (81.189.17.188)
Time: Sat Jun 26 19:22:11 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (210.98.29.190)
Time: Mon Jun 28 02:56:35 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:39:56 2004
Input: factor(15657240180871560861397889472511)
Output:
[15657240180871560861397889472511 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.228s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:40:07 2004
Input: factor(30276696807247563131834157051474945924672208419575110084039590168346878944291)
Output:
[30276696807247563131834157051474945924672208419575110084039590168346878944291 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.095s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:44:55 2004
Input: factor(92191282147576282327046626507)
Output:
[92191282147576282327046626507 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:45:04 2004
Input: factor(60190781096843889180574332791736121345192818031460980236899860552367407255842519233590853)
Output:
[60190781096843889180574332791736121345192818031460980236899860552367407255842519233590853 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.123s
user 0m0.110s
sys 0m0.010s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:45:38 2004
Input: factor(382769764368870914299196165382289700653587785053094460543806339515936501231866338145853172758279698259)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.993s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:46:55 2004
Input: factor(750443539998324866431514753)
Output:
[750443539998324866431514753 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Mon Jun 28 12:47:02 2004
Input: factor(15496423364276826364201302573184309145049941443740046685989420103)
Output:
[15496423364276826364201302573184309145049941443740046685989420103 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.085s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host d213-102-220-207.cust.tele2.fr. (213.102.220.207)
Time: Mon Jun 28 14:02:38 2004
Input:
R=QQ[x_0..x_2]
I1=ideal(x_0,x_1) ---- the point [0,0,1]
I2=ideal(x_0,x_2) ---- the point [0,1,0]
I3=ideal(x_2,x_1) ---- the point [1,0,0]
I=intersect(I1,I2,I3) --- the ideal of the three points
hilbertSeries I --- the power series generating function
Output: hilbertSeriesI + (-thepowerseriesgeneratingfunction - 1)
Errors (if any) and Timing Info: *** expected character: ']' instead of: R=QQ[x_0..x_2]
^---
*** unexpected character: I1=ideal(x_0,x_1)----thepoint[0,0,1]
^-----------------
*** unexpected character: I2=ideal(x_0,x_2)----thepoint[0,1,0]
^-----------------
*** unexpected character: I3=ideal(x_2,x_1)----thepoint[1,0,0]
^-----------------
*** unexpected character: I=intersect(I1,I2,I3)
^--------------------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host Becarios.math.nd.edu. (129.74.203.218)
Time: Mon Jun 28 20:14:58 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (202.62.138.196)
Time: Tue Jun 29 03:28:28 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host Toronto-HSE-ppp3694960.sympatico.ca. (65.95.88.59)
Time: Tue Jun 29 21:34:23 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host proxy1.bezeqint.net. (192.115.106.236)
Time: Tue Jun 29 23:01:08 2004
Input: phi(1345)
Output:
Errors (if any) and Timing Info: *** obsolete function: phi(1345)
^---------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: phi(x) ===> eulerphi(x)
eulerphi(x): Euler's totient function of x.
Timing:
real 0m0.086s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host pcd369143.netvigator.com. (203.218.159.143)
Time: Wed Jun 30 02:49:32 2004
Input: gfgfg
Output: gfgfg
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (80.253.171.75)
Time: Wed Jun 30 07:58:52 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (80.253.171.75)
Time: Wed Jun 30 07:58:59 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (80.253.171.75)
Time: Wed Jun 30 07:59:08 2004
Input: 25
Output: 25
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host wlan-112-154.zfn.uni-bremen.de. (134.102.112.154)
Time: Thu Jul 1 02:23:22 2004
Input: fif
Output: fif
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:33:24 2004
Input: a+b
Output: a + b
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:34:04 2004
Input: [1 2;3 4]+[ 4 3;2 1]
Output:
[55]
[55]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:34:21 2004
Input: [1 2;3 4]+[ 4 3;2 1]
Output:
[55]
[55]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:34:45 2004
Input: [a b;c d]+[d c;b a]
Output:
[ab + dc]
[cd + ba]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:35:24 2004
Input: [a b;c d]*[d c;b a]
Output:
Errors (if any) and Timing Info: *** impossible multiplication t_MAT * t_MAT.
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:35:43 2004
Input: [a b;c d]+[d c;b a]
Output:
[ab + dc]
[cd + ba]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:37:00 2004
Input: [a b;c d]+[d c;b a]
Output:
[ab + dc]
[cd + ba]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:37:05 2004
Input: [a b;c d]*[d c;b a]
Output:
Errors (if any) and Timing Info: *** impossible multiplication t_MAT * t_MAT.
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:37:41 2004
Input: [1 2
3 4]+[ 4 3
2 1]
Output:
Errors (if any) and Timing Info: *** ; or ] expected: [12
^
*** unused characters: 34]+[43
^-----
*** unused characters: 21]
^-
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:38:01 2004
Input: [1 2]
[3 4]+[ 4 3]
[2 1]
Output: [12]
[77]
[21]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:39:34 2004
Input: X := Matrix(IntegerRing(), 2, 2, [1,2, 3,4]);
Output:
Errors (if any) and Timing Info: *** unexpected character: X:=Matrix(IntegerRing(
^--------------------
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host mela156.uku.fi. (193.167.234.156)
Time: Thu Jul 1 04:42:19 2004
Input: X := Matrix(IntegerRing(), 2, 2, [a,b, c,d]);
y := Matrix(IntegerRing(), 2, 2, [d,c, b,a]);
X
Output: X
Errors (if any) and Timing Info: *** unexpected character: X:=Matrix(IntegerRing(
^--------------------
*** unexpected character: y:=Matrix(IntegerRing(
^--------------------
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host library.mk.farlep.net. (213.130.12.237)
Time: Thu Jul 1 08:28:45 2004
Input: df453454354567
Output: df453454354567
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul 1 10:25:09 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul 1 10:25:37 2004
Input: "Replace this by some code, then click [qaz] or [MAGMA]!"
Output: "Replace this by some code, then click [qaz] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul 1 10:31:09 2004
Input: 5+13
Output: 18
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul 1 10:31:40 2004
Input: 3423423423523324/111
Output: 3423423423523324/111
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host mykonos.ubn.kun.nl. (131.174.248.33)
Time: Thu Jul 1 10:32:03 2004
Input: 3423423423523324* 12312
Output: 42149189190419165088
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c1-3-4.rz.ruhr-uni-bochum.de. (134.147.64.24)
Time: Thu Jul 1 11:10:12 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dmzfaylf.cse.l-3com.com. (166.20.19.51)
Time: Thu Jul 1 14:27:47 2004
Input: 111111111 x 111111111 =
Output:
Errors (if any) and Timing Info: *** unused characters: 111111111x111111111=
^-----------
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:26:52 2004
Input: ? 2*3
Output:
List Mat Mod Pol Polrev Qfb
Ser Set Str Vec binary bitand
bitneg bitnegimply bitor bittest bitxor ceil
centerlift changevar component conj conjvec denominator
floor frac imag length lift norm
norml2 numerator numtoperm padicprec permtonum precision
random real round simplify sizebyte sizedigit
truncate valuation variable
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:28:15 2004
Input: 2*3
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:37:36 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(((3^n)-1)%a!=0)
{
n=n+1;
}
print a,b,c;
Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:38:24 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(((3^n)-1)!= 0 mod(a))
{
n=n+1;
}
print a,b,c;
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: while(((3^n)-1)!=0mod(a))
^-------
*** unused characters: printa,b,c;
^-----
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:40:19 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(mod(((3^n)-1),a) != 0)
{
n=n+1;
}
print(a);
print(b);
print(c);
Output: 2047
2
c
Errors (if any) and Timing Info: *** expected character: ',' instead of: while(mod(((3^n)-1),a)!=0)
^-
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:41:36 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0)
{
n=n+1;
}
print(a);
print(b);
print(c);
Output: 2047
2
c
Errors (if any) and Timing Info: *** expected character: ',' instead of: while(Mod(((3^n)-1),a)!=0)
^-
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:41:49 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0)
{
n=n+1;
}
print(a);
print(b);
print(n);
Output: 2047
2
2
Errors (if any) and Timing Info: *** expected character: ',' instead of: while(Mod(((3^n)-1),a)!=0)
^-
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:43:00 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0)
{
n=n+1;
);
print(a);
print(b);
print(n);
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: while(Mod(((3^n)-1),a)!=0)
^-
*** unused characters: n=n+1;);print(a);print(b);
^--------------------
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:43:41 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) != 0,
n=n+1;
);
print(a);
print(b);
print(n);
Output: 2047
2
2
Errors (if any) and Timing Info: *** expected character: ')' instead of: ...hile(Mod(((3^n)-1),a)!=0,
^
*** unused characters: );
^--
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:44:08 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while(Mod(((3^n)-1),a) ,
n=n+1;
);
print(a);
print(b);
print(n);
Output: 2047
2
2
Errors (if any) and Timing Info: *** expected character: ')' instead of: while(Mod(((3^n)-1),a),
^
*** unused characters: );
^--
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:46:09 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while Mod(((3^n)-1),a) != 0 do
n=n+1;
end while
print(a);
print(b);
print(n);
Output: endwhile
2047
2
2
Errors (if any) and Timing Info: *** unused characters: whileMod(((3^n)-1),a)!=0do
^--
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:46:36 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while Mod(((3^n)-1),a) != 0 do
n=n+1;
end while
print(a);
print(b);
print(n);
Output: endwhile
2047
2
2
Errors (if any) and Timing Info: *** unused characters: whileMod(((3^n)-1),a)!=0do
^--
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 1 21:46:50 2004
Input: a=2047;
n=1;
b=(3^n) - 1;
while Mod(((3^n)-1),a) != 0 do
n=n+1;
end while;
print(a);
print(b);
print(n);
Output: 2047
2
2
Errors (if any) and Timing Info: *** unused characters: whileMod(((3^n)-1),a)!=0do
^--
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host barolo-gw.osaka-gu.ac.jp. (210.163.44.76)
Time: Fri Jul 2 00:09:16 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host barolo-gw.osaka-gu.ac.jp. (210.163.44.76)
Time: Fri Jul 2 00:10:53 2004
Input: nextprime(10^1000)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.001s
user 0m20.950s
sys 0m0.050s
************** PARI *****************
Host barolo-gw.osaka-gu.ac.jp. (210.163.44.76)
Time: Fri Jul 2 00:12:01 2004
Input: nextprime(10^10)
Output: 10000000019
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul 2 08:36:05 2004
Input: 19475347766081839597610171633433912439406404786126941166738797347
Output: 19475347766081839597610171633433912439406404786126941166738797347
Errors (if any) and Timing Info:
Timing:
real 0m0.143s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul 2 08:36:19 2004
Input: factor(19475347766081839597610171633433912439406404786126941166738797347)
Output:
[19475347766081839597610171633433912439406404786126941166738797347 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul 2 08:36:26 2004
Input: factor(2001700036961160150104009419)
Output:
[2001700036961160150104009419 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul 2 08:36:32 2004
Input: factor(252390868613930971196418746042261077838969195392269931528262392170539)
Output:
[252390868613930971196418746042261077838969195392269931528262392170539 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.083s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Fri Jul 2 08:36:41 2004
Input: factor(806083271688154958515880951639)
Output:
[806083271688154958515880951639 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul 2 09:06:36 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul 2 09:06:45 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul 2 09:06:53 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul 2 09:07:04 2004
Input: AAAAA
Output: AAAAA
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (213.149.47.186)
Time: Fri Jul 2 09:07:11 2004
Input: AAAAA
Output: AAAAA
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (128.192.179.231)
Time: Fri Jul 2 12:26:06 2004
Input: 31.99=5U+3v+w+2x
6.88=11u+4v+2w+6x+y+2z
25.44=2u+2v+4z
16.96=u+x+z
18.65=u+2w+y
Output:
Errors (if any) and Timing Info: *** unexpected character: 31.99=5U+3v+w+2x
^-----------
*** unexpected character: 6.88=11u+4v+2w+6x+y+2z
^------------------
*** unexpected character: 25.44=2u+2v+4z
^---------
*** unexpected character: 16.96=u+x+z
^------
*** unexpected character: 18.65=u+2w+y
^-------
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host lns-th2-3-82-64-44-128.adsl.proxad.net. (82.64.44.128)
Time: Fri Jul 2 15:35:14 2004
Input: (1+x+y)^2
Output: x^2 + (2*y + 2)*x + (y^2 + 2*y + 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:13:03 2004
Input: (3^88)/(2^11)
Output: 969773729787523602876821942164080815560161/2048
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:13:35 2004
Input: (3^88)/(2^11)
((3^88)-1)/((2^11)-1)
Output: 969773729787523602876821942164080815560161/2048
473753654024193259832350728951676021280
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:48:09 2004
Input: ((3^232)-1)/((2^29)-1)
Output: 2112395209564224290311670559819509557845307164933576057127435020031518817262272734415971205283080728371368480/2304167
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:48:21 2004
Input: ((3^1102)-1)/((2^29)-1)
Output: 5559646627910616220956284505320367207731222222827221615403007934855712616044403222635353138418296258025008765564431667048519073493491331430519267989130986043789879135825100198486936663360512469457534813085038746845245716646773173942310951114564098520547417034192862509452576711087093037930278189873207036461220788755254224081957617115352309108966465967649109227367116203240373421862775887964030875497195983496097948871263710191341351672975451936534824265645220153373318514570086933766262893039756770016503271179986516976136/486737
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:48:40 2004
Input: ((3^2088)-1)/((2^29)-1)
Output: 3482454843111297047048507047320025648476826702061712190478986941139149165209191625332578889843267546767720867532333709820312125602131793291649808980247923294334313206032802836278604927351174403412298540223137593771904876992752429303914567582639255660582167368847185192072062877785100858830732463623053020868463477503363051500129942620466799485374191579092171414154078091896168064511289472270219913449904211193094153754612867414532747888495913865313827159138127461489128984520395489414874090365099234542871102927919043188923278327041771368474222435104894407188465518980875648889220796374064730043517913910164553055741090983807209946226484573545095975398187638750308117479438919265582214753868812244511970360826841056584565747898510913261673725454398865327244068055607768426452331712597493889972672618589991512419498033862816178125136248900287154247558046665032372972399295692339226759865790958724090164081943002991781638133609684990226095531588053945487807529950993363352756207705994288987680/1103
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:49:34 2004
Input: ((3^256998)-1)/((2^29)-1)
Output: 1615178198097185561974283243127381785486111066614463102448590546997299969899592834700114925719732677337981807105034751916422871306851989599756774046509298338127624583757947771632133585690180908785422210864657988432608965447834619736609446157057783534748340195901141337254694882191206099329208383214480307152079639571837728916138621381857697154118934342123475760549854590409825425466475895073531334685329401764051787204480351469080313616808635066610879691425740068217423616588425752763098381444500355478977798116648843390535450090597968157245614847526746059088236700702346587888836521751642383674175749713370387565066834916454984096171218254461440044739267671601473456397131693716973058964296096392484500229680602700673745971997553511383200815602278026678441096809954645175135142578861843357830866988515015006228635365632668313164294778354202269022669003549397356425914146505397944047449334512788842553882040462435413191456867666849801350839558029100588141660414418633966059618384259405048600583110010770167382652504715842881510365177517139583947450549763643605277886253942305411461857810620808847787735036473367155912233020740821874088774511089908230796277305813441635252269898719011916583008270699075619827191775443712952070279982627685001019927970379172069492523843388909220329792010975554124899044865421111142595494554720207516939143943651947848059584340010908434939205634693274988727415683075986276272224902697494306724078674144637797023892455570252151990789914986681110362376668838035598230122643571268987837880442611235618538118507633869636122847709258199233672074618626111191651987939992919391463079505377603313079846672444083624836266672026563204255390898621131498988387312929774773942949044625380796282578698899164157801028694995739790424366381272924976576306550214973971119445243536013748510399739153960037694880551833844414649969838043798543318566573766352799463227564051948025185893301559472153894936250391751355824535361002356826401153955202461094888416838969625518541989282953795772538435713034340969435616546977704988692037507761279476435360441734102422939806913961269978166173726588824704249083989579015691885191819572499078686053390201831683994965827971602170485209867687401123343786206376168629905931320612656172772655549829243249001020540103325563389791393913959132563808744339675910561721320097841823424238651281751448948222339947449517414019151746280833865061213267490591779627907130855777443483085433145766899525687696023624843716842721721901188712863520762189175789978882624605983168247879676461521297789836548280369035586193257723578861161850202252651875123684103381896011701440869003263634944553567167013714875705868211868804432151245293266018650556435484918413672960752735970308133958210046343215267884715703528894041613545274670675960468623375016806051726328906957890261608529866714628139503526902297016354140068568588023064747548983515037106594559928832607636767110764406544476680224310248161759013454237097298923296674079683959703535164998395681621830137074575649024201148161484469699781117630733804670841659566087929907639742883836707341701671616428736578774993671229625825717791366748266467317771079444204118483078989073656087776745375474436685244053120276060481047281176084062088119381965591942201515099677643639831646353951012290480377991246282495986760620483914679024306214618202725508742446596938859290928497510953901686255202179420366828316851261533369882641268541274584923054222351388577133869897351963302379247118012000986966066225403555780999815489352176166722586553552950079108755073543669915452186647317423620138855136879959988646699753636028743550359708829495285905551623291092967207732347413610099332707214116476016743715657738118127613811977369738224014982994011164287647322386908985990164969409438073206630928993402731651084193585280146944872540478024977537171832728674898632896624976570844838674738225926522185296966640317980450759247726185228894427721813587215916948312042900108841310798081482476314334967991419571623252447059397762987421606733030345756503981800309256315679942215211769206681735970948105157398006990992123934298601992640092996680359873600143937909394757334570502761821094212755515739031193536248351272639452039235582765908668398488191406619519688091972097290241164173982109699038447591350848530243527459487051850604800034759726621676061458791231948474713418058620584551171526848295399051812822841751644395709660081540960694465271655494347825473728114139323257879103047829509340684078763395938585456687700795618495462004044284757476730087202032504858814873335429118908552969515136535526301879224386893608404928371680135019683656463876355658189271860231197283593385554411330949867572246760832773216325683008068622847235692283071374194839356555418013710446359389093389041802308831673145549606667445204372935173916864915993851131620666734074389276249750816501595574427601871559900151666965217743592200151305120220049285817340301770737267060768953967669710827453479110211267444021565333073321107298744635996565996002022555896882938120762443372262379889941864305163910596546454224734665426018850600447647787692676233886463883014651529845330277353756377943266177950223995370844621064050138382976220557880329199281722383714695550271942725267237134065324773713890627350162038767848935283582703660389806314707621767875759492014013513003228858619689160260668559920337298240103313332287581922345132007404057085420180008937130471782127086401823437636575847855981350288446295633957643283697746125198542067416462779267561320986335369362008433883695763939772164520897798335633680226983322788423339130141177611953358772749203082373763564830632745630325447800996599064447159282763102609803737013506668311460269793659023921228908963416120235088136880033161236549984721777745428916158093006703811189862062407523109016436182508902983760367080101106841122876481129024150381728694199911806084075075760983157348435568353598087682921865524964420522516426515698830906932754786554939538329366737119048911990940770669021477042916500351237874091397304790953726083676133386057542527070867680608541700545515839587265133365472299420725732818169705445464667247859092550363706980125657595436836681783397065754539085020279070061680648996169055313027268359307495699437238539244048293058911110183278925662741006090227535288812021301446223742764234816896094573604136274391334622380381830330849450087090579598698206292871787619468039967248489167990903218764255365458719391035208781091470265251477490430644921688532988890559691064748179064946263219361745794456046459863872684558954338670012320421777638450211228460246524156227427944381286191535021947504745083359495741659110745265537224611981694018512204856126504113165554302546495263888990918838510303515889875855283847154295530499882261874083639879179557548525861415330104264293654432673423430873374044849041567786806083918084607673088971420410764435410248682629926373478543828710680000984366619664115778036881360635225938992506171820971692556723222946383475652691672173358746934671771756557966787858203565192534976907741339747151832436411066781660506289370414155636417218552195564996270473273879752883353566165460978912839427642400007945872234746847276327603939422247509977479136987851118218009363136688615371203634422164981413820602208965079521320480852082875829455387602446655616038764661541106755357295658632023177689591266659716818101449337000620117531811448142786964352856806956198965781125034831628142567272079213331214854786659190014413463083864572314142331418003247212603036560196554925572792621520247951703485885790631759528898065805189553349100679607063524718333095126667836788161139340925084369145572376188442202395872766389921882986070581066320392500508571058596642338424423237296682205656839331112765055445596052790517733559343844540349307434080019662604917265519346164241505417909716075654720378083116797535458958743276383717777408504196800104759980021455574296729011800504889130623202465178844415078710658714963083222955983529307881698425563350550760741675009365991129815240155134721358203626142427250124871385671187504107064670493571918241960830461817209529885608668985053518720881149166850768110816800345423373420927849293648747682892255340864402537894825348136216848153140984085838880645395701889960509937574826276071935486324831791123972765642930379281723876423458430409989668864122271298281329653689750364085864928725904619400080531128240877235043673705983882811853765148407117523994096535739278595773884784716493009400048708804138134194028831570342065008962603287179084578075688469888453806985847522738893067074646538840616007409447107252865414271489713258700402120751242979995553905074227943352980617441886166489399669172308235017892942845675481355609528910512519432500268517352811232849247117670807470409633946882018473078960517089011785649288848983815637663793571432021687288623928549357971958095428691515879393778991649952529987029621676264373188585622386047726741631698469794242554572841552737091597597825027530578084294976737821377651758922245828347931245895717912226935489525474061503532602240249377292732533104835135670299547441388795314050747599932638134556809322134234524476697094380652356807478768457210188949156529447858002854677198034224461372375239648977890700945385217416026908907952918904879000378002316124760919404976926095223938769690609643582297845351738574164199022665884005227963204455919069167842684499202246863236833072658088433844276085382428693598789355224664631868409596782619471522843235341383475674094383155564780297082536230100292693359191297823776052488107811833971172927580004911397783031474585615747546388120822573804311382316765361352506464623133077610268979856948920470888121388972408760388960518388500932614594164115417565251802154283007242627402996202911060930198273053520035735319740230960814550720984239395409247130425705263435885820946176671522875838912624308094577837515401068923299404320214299643205430001808627149484864047633795500080656122728699449561279603822989924981977343715478818799455029963954221479315212370123085265848194706655350714686000130515825850
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m4.083s
user 0m3.980s
sys 0m0.100s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:49:56 2004
Input: ((3^232)-1)/((2^29)-1)
Output: 2112395209564224290311670559819509557845307164933576057127435020031518817262272734415971205283080728371368480/2304167
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:53:18 2004
Input: ((3^222)-1)/((2^37)-1)
Output: 37377795595955556227082610682603702691999778661403820154128463779252716423937461615554315484203231815496/616318177
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 00:54:55 2004
Input: ((3^616318176)-1)/((2^37)-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.000s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 3 01:13:46 2004
Input: ((3^13366)-1)/((2^41)-1)
Output: 11930444780328961533244480513726999002756471587765808048855559664983489420248250344307192748757195900197394215273305886189010518458688973441838324989724403989979741750130609191032742544368970106501625908133040432301513524305038299773042126416410300210764280266889251698115436887300160452137749310387430722584131480631431803806545287094177315072206161631248897333442498388373513963369927173369682248236116945555479856959744100014071210569393918849807004867339572298638166165306870565058668387014695506733797349453231053652297545193846815101233798856591904622045963009106371676253012380177744660165651078017198155781876757848258002790520347906047548294918819475937858443635134998404768710795682235172554529422517049020423648796995853461548411148663328025195531192719009293486223332987823630468725221102556800528425188012218966962051593363676506793083943706769526618502191637366660916362427577692301446051211243915725779478322059637424751744135754472804937762750082601359726501813350590605210396700588425961755422262465219836744051691210288767498237463472793865788641428234409455082005340259689695022365657530484740373146215740650353303188726933822323018671874170505617212600011434977170208204782496083786605954347911631916755696062209539682698617149661020942335213663197826567367427700002938404195947769142342322543466944885269759335812160256957891852478950934126462555673910326765318781905091667908574402464785359954978955097576892906961365639219007346222726760190720493438382304354662853945844630378337641776450709856127206599771263527598250772425192540503744628358612711329007107860168640223868745824065081457649854160442929148095937918005250093558938030135484036790147839523890163204232401251448307435420963242487095524154001264033609849847502383010167014186627865255187887563307566698662748988398663954299279154070553203562264372981470349031385148392743703202829543812628870708777443552094925182011871380249893238725204371997137042666990264821342917629054277398556221128368735986226090421995246863276808972102475993843770017113819557022841247623711703199332298505406750545889113564795208961710675953681936452456004294071662526396016866437547872729803505385269471231360739590042508480196451246434265895945492565984908279669365344658766489227571168762799894203456634538051717075219095215773121822735855793119570088460344044552315593769199555306740633037741003145719619295980452433664172458892711106038745317249830036423420693014943581047321169603087414330740539175931645264099430977668533910616982195671394904618367667762108637971709368668686118481836014249644868979568808974428914916254645419543453593185599922575935962434152401831971185502032470652797219754326140274039575823605387464993654599197798138739144358586616453953449033071825673203690723224996006016332886779045220043155098103524372969390081544507705933332652847537790909639662709795623833870576818437448511707521436391736680105935766539289533657787144284035433068853981501348067451854986684798603633850696140190297804969753090917879574711063394531309255761404519993671957069451283673573029796086838874662708140641260087842590042547474179198439244797256861863875557957168161862961413287408001031536942052086652767304075851869146743705685126152475290866154259260124630519164517642151785273655350100142144185472027230611087805203572791955323869025682898959547388400679828801798402246665228933791128013342473356172470865492221499946219756241548737463759383615461047782424735458783812102476218191590080176349234425963298640101906823823958652692645671938512004098429513568130610786599604205250892610789342816780858597724569885169313895762530950766898992198160569851191443952074915681758123023620816126029683014159128906338691511476394927268750229156912520017705741945292333946492907386061923142335542838541846374388676075193278453960061778904213072170197714096420749656795951117603674397289948542160405383884489200016001540749317696942332591455386741606284601145282853389976974124132352055709087303495094442977047987532308111830419551380332720218091112107442995968839700511050967121436461738669189725034108916204719116774672561343439348248704911018090692465634496175014476732854169457877572436404959897090212232012466210664264457583857177493687155723784163852246947346768034360679710904119233482869148258794287902177412139162090591768828321000792971870445265687890901554227536501303514430260114690967625939720859617685190010049443689465430603063155700105002275541769271995387708066738786754584895073786199108403055538027392915890936506716065233115057206548535472519095675122003049598292498965819739539298853368680210219643794544216954320433047655680764478355715805698063899633335789165841221155106433577184513774769265493069843852985057395160155614845299345879398336194332118235675449082744958587862285647112123536605346272208190082905305216708693723279170859859215123233648986375510120226371157205304856869798734745109074991127096596729310695659202185704311446910490807493858183898455920859997226125291689511092765810648015465893960323827771232816938760580478641201781141693695472904746146464999787507438911736770477051911379008366899265844376577699303605846883914576049863753078037406657608524086760493738623790813339064316102008898825054817208641816890483472636483067599449453111785335960199785641667005045235443664356772998700548911848477526451492703184873237362574625694208380805353630826404523499319953376415720045573865709516796666153885734345061139466831257139136888364771457932300043858196469588719966283245872718080150308375092312283999473956837438477402892877626561438407461399331823893817326867580057655255353045602164112225669943717908305643208369812333882574822409709018884890632596198811842816375966366255578475706585266560698624131693577999141294264504094120534709139610949579170690113221536076004225725291237545799129626651664804808466596019412803671014880539287398820735572904974822759562566069401498214997556844436553660534694835067486401859547566786179911926854744796695865547044109323313437001222104121869863881680799642192190980846043060707745939649489200427664556928050395853751719654419715993267273630639746094882150587592542885081336506167886107993120325162796446107392251290731441973391405148776541571691525631222434216142841502340727077264048377611828859363955489134147701464732507104335087195288487615295195697090824493859292267722202867678190395678514403926786158847293337743978922694184/164511353
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host cpe-024-211-120-228.sc.rr.com. (24.211.120.228)
Time: Sat Jul 3 14:26:21 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host cpe-024-211-120-228.sc.rr.com. (24.211.120.228)
Time: Sat Jul 3 14:26:39 2004
Input: z=y2
Output: y2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host pcp08867223pcs.sabrna01.az.comcast.net. (69.137.185.218)
Time: Sat Jul 3 23:45:17 2004
Input: factor(x^15 - 1)
Output:
[x - 1 1]
[x^2 + x + 1 1]
[x^4 + x^3 + x^2 + x + 1 1]
[x^8 - x^7 + x^5 - x^4 + x^3 - x + 1 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul 4 03:53:17 2004
Input: factor(242545362933982125628559922991)
Output:
[242545362933982125628559922991 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul 4 03:53:24 2004
Input: factor(10077537735966263582017919371566619305164464911649088384505894437689028537)
Output:
[10077537735966263582017919371566619305164464911649088384505894437689028537 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.090s
user 0m0.080s
sys 0m0.010s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul 4 03:53:33 2004
Input: factor(129523101504856161079684963)
Output:
[129523101504856161079684963 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul 4 03:53:40 2004
Input: factor(9705509861708257273773510972451806910093279864654142901189711709595743392247)
Output:
[9705509861708257273773510972451806910093279864654142901189711709595743392247 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.092s
user 0m0.080s
sys 0m0.010s
************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul 4 12:23:34 2004
Input: 10+10
Output: 20
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul 4 12:23:40 2004
Input: 10+10
Output: 20
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul 4 12:24:16 2004
Input: 10^199994324
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.001s
user 0m20.940s
sys 0m0.060s
************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul 4 12:24:46 2004
Input: 10^199
Output: 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host IP-213157024181.dialin.heagmedianet.de. (213.157.24.181)
Time: Sun Jul 4 12:24:56 2004
Input: 3^199
Output: 88537996291958256446260440678593208943077817551131498658191653913030830300434060998128233014667
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul 4 12:31:39 2004
Input: factor(x^2-1)
Output:
[x - 1 1]
[x + 1 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host o093007.ap.plala.or.jp. (219.167.93.7)
Time: Sun Jul 4 12:31:46 2004
Input: factor(x^30-1)
Output:
[x - 1 1]
[x + 1 1]
[x^2 - x + 1 1]
[x^2 + x + 1 1]
[x^4 - x^3 + x^2 - x + 1 1]
[x^4 + x^3 + x^2 + x + 1 1]
[x^8 - x^7 + x^5 - x^4 + x^3 - x + 1 1]
[x^8 + x^7 - x^5 - x^4 - x^3 + x + 1 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.020s
sys 0m0.050s
************** PARI *****************
Host eg202.internetdsl.tpnet.pl. (80.53.6.202)
Time: Sun Jul 4 14:48:49 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 82-32-13-239.cable.ubr02.azte.blueyonder.co.uk. (82.32.13.239)
Time: Mon Jul 5 07:58:03 2004
Input: factor(298784395667892569)
Output:
[19 1]
[1021 1]
[14243 1]
[1081376917 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.238s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul 5 16:26:07 2004
Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.133s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul 5 16:26:31 2004
Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
bnfcertify(cf)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.080s
sys 0m0.030s
************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul 5 16:26:37 2004
Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
bnfcertify(cf)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.100s
sys 0m0.010s
************** PARI *****************
Host eshu.net. (64.142.14.204)
Time: Mon Jul 5 16:26:55 2004
Input: cf = bnfinit(x^3 - 6*x^2 + 5*x - 1,1);
bnfcertify(cf)
cf.fu
Output: 1
[x^2 - 5*x + 2, x^2 - 6*x + 3]
Errors (if any) and Timing Info:
Timing:
real 0m0.114s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host Tasha.Math.McGill.CA. (132.206.150.104)
Time: Tue Jul 6 01:41:38 2004
Input: Jacobi(6,11)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Jacobi(6,11)
^------------
Timing:
real 0m0.073s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host Tasha.Math.McGill.CA. (132.206.150.104)
Time: Tue Jul 6 01:41:47 2004
Input: JacobiSymbol(6,11)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: JacobiSymbol(6,11)
^------------------
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host Tasha.Math.McGill.CA. (132.206.150.104)
Time: Tue Jul 6 01:41:56 2004
Input: ? Jacobi
Output:
Errors (if any) and Timing Info: *** Jacobi: unknown identifier.
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host bglan\@sp.spnet.net. (212.36.7.146)
Time: Tue Jul 6 02:32:54 2004
Input: kogato suniva6 pari
Output: kogatosuniva6pari
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host bglan\@sp.spnet.net. (212.36.7.146)
Time: Tue Jul 6 02:33:22 2004
Input: kogato pla4e6
Output: kogatopla4e6
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host bglan\@sp.spnet.net. (212.36.7.146)
Time: Tue Jul 6 02:33:39 2004
Input: pari
Output: pari
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (213.235.5.49)
Time: Tue Jul 6 06:13:58 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.082s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host25-178.pool81117.interbusiness.it. (81.117.178.25)
Time: Tue Jul 6 07:21:54 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pc302.math.hr. (192.84.105.28)
Time: Wed Jul 7 11:01:20 2004
Input: factor(2623571232131262891)
Output:
[3 1]
[1877 1]
[465915686757461 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 96-115-dyn.ipact.nl. (82.210.115.96)
Time: Wed Jul 7 17:08:59 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host xdsl-81-173-159-143.netcologne.de. (81.173.159.143)
Time: Wed Jul 7 21:33:14 2004
Input: p = 1361129467683753853853498429727072845993
Mod(Mod(1,p)*X, (X^200 + X^20 + X^2 + 1)*Mod(1,p))^(p^2)
Output: 1361129467683753853853498429727072845993
Mod(Mod(708131963606297959660438800968863303918, 1361129467683753853853498429727072845993)*X^199 + Mod(176208917205704951262232571084180827909, 1361129467683753853853498429727072845993)*X^197 + Mod(453563338042927738071413594915400510442, 1361129467683753853853498429727072845993)*X^195 + Mod(547255090209736332200628826322020687475, 1361129467683753853853498429727072845993)*X^193 + Mod(514365638130149831807455831232285749152, 1361129467683753853853498429727072845993)*X^191 + Mod(910128329631694658562479165889002288317, 1361129467683753853853498429727072845993)*X^189 + Mod(1047982952961769652815032085394014953230, 1361129467683753853853498429727072845993)*X^187 + Mod(2820671671817550963589323185522584786, 1361129467683753853853498429727072845993)*X^185 + Mod(668427855344674101518433075912055325333, 1361129467683753853853498429727072845993)*X^183 + Mod(815451433497796384671320310281470061800, 1361129467683753853853498429727072845993)*X^181 + Mod(710644496531927249149798340692678930135, 1361129467683753853853498429727072845993)*X^179 + Mod(443791060531276623026199102952389654531, 1361129467683753853853498429727072845993)*X^177 + Mod(326038148609065150751269870281668889027, 1361129467683753853853498429727072845993)*X^175 + Mod(666985885523868921892586711038082963776, 1361129467683753853853498429727072845993)*X^173 + Mod(922193370089690566143403836681511849590, 1361129467683753853853498429727072845993)*X^171 + Mod(534045553272495679283961818189121328485, 1361129467683753853853498429727072845993)*X^169 + Mod(734865765787320656482343547394316585792, 1361129467683753853853498429727072845993)*X^167 + Mod(995160679816629313061248630731619710012, 1361129467683753853853498429727072845993)*X^165 + Mod(338356385363192175634621454210296976218, 1361129467683753853853498429727072845993)*X^163 + Mod(1229687016407007212212050384643664103313, 1361129467683753853853498429727072845993)*X^161 + Mod(746795353193961143501600238745153275883, 1361129467683753853853498429727072845993)*X^159 + Mod(189752125947613358067546740037034562097, 1361129467683753853853498429727072845993)*X^157 + Mod(1167667961682971300324830569250107378803, 1361129467683753853853498429727072845993)*X^155 + Mod(818841003530024973490564195845034599479, 1361129467683753853853498429727072845993)*X^153 + Mod(1328135370154437621876072524191872199678, 1361129467683753853853498429727072845993)*X^151 + Mod(670869679452464380825368915220804450331, 1361129467683753853853498429727072845993)*X^149 + Mod(1317612578146921415033788877556053171624, 1361129467683753853853498429727072845993)*X^147 + Mod(517455381872927923524060733583143210693, 1361129467683753853853498429727072845993)*X^145 + Mod(871465332941414232088205664240062736916, 1361129467683753853853498429727072845993)*X^143 + Mod(706223265302946885362692549030226774739, 1361129467683753853853498429727072845993)*X^141 + Mod(876114574301976257923394701578560587662, 1361129467683753853853498429727072845993)*X^139 + Mod(1136108564387187544213200276899329974611, 1361129467683753853853498429727072845993)*X^137 + Mod(1183357639272935446549995589872545393767, 1361129467683753853853498429727072845993)*X^135 + Mod(636199753555544936491185972949685964745, 1361129467683753853853498429727072845993)*X^133 + Mod(386147424115982243743215578123303657354, 1361129467683753853853498429727072845993)*X^131 + Mod(634490886372490862435558200813899285885, 1361129467683753853853498429727072845993)*X^129 + Mod(555751713143133275839984662633908690525, 1361129467683753853853498429727072845993)*X^127 + Mod(1114922684360138909553847648563288614963, 1361129467683753853853498429727072845993)*X^125 + Mod(360377288283234610381702736454445601996, 1361129467683753853853498429727072845993)*X^123 + Mod(556476112904219368223097574304479615458, 1361129467683753853853498429727072845993)*X^121 + Mod(333281633390844539883417339891748589722, 1361129467683753853853498429727072845993)*X^119 + Mod(775336210713455540443748007581273262293, 1361129467683753853853498429727072845993)*X^117 + Mod(216809579529415433010529639090162680988, 1361129467683753853853498429727072845993)*X^115 + Mod(725137969655901796277744670388340109305, 1361129467683753853853498429727072845993)*X^113 + Mod(994357270587946986806190262575817123823, 1361129467683753853853498429727072845993)*X^111 + Mod(487430443771686475076976621192393599015, 1361129467683753853853498429727072845993)*X^109 + Mod(923525864686906341202176619453168770979, 1361129467683753853853498429727072845993)*X^107 + Mod(132346459586937973573652526390040048018, 1361129467683753853853498429727072845993)*X^105 + Mod(655395509508948744319870721608191133805, 1361129467683753853853498429727072845993)*X^103 + Mod(267524547848108468395265111770318950152, 1361129467683753853853498429727072845993)*X^101 + Mod(692052810274921661161632886505868233967, 1361129467683753853853498429727072845993)*X^99 + Mod(435400159167522172775711086739424006474, 1361129467683753853853498429727072845993)*X^97 + Mod(30860982815139430248485855250286627200, 1361129467683753853853498429727072845993)*X^95 + Mod(917365779674492491556542234853924254831, 1361129467683753853853498429727072845993)*X^93 + Mod(762676593602694196240077040756582580395, 1361129467683753853853498429727072845993)*X^91 + Mod(269642857643750522337875243742507452887, 1361129467683753853853498429727072845993)*X^89 + Mod(1152498392776119739381130083878257601840, 1361129467683753853853498429727072845993)*X^87 + Mod(1358076019035118681532000651775706001764, 1361129467683753853853498429727072845993)*X^85 + Mod(181063401768969922170090611649294011049, 1361129467683753853853498429727072845993)*X^83 + Mod(1243710169036370952433524822101101938531, 1361129467683753853853498429727072845993)*X^81 + Mod(68554672734324159469519339091789921882, 1361129467683753853853498429727072845993)*X^79 + Mod(578011742619239449925660067383850387981, 1361129467683753853853498429727072845993)*X^77 + Mod(1155002895946867187683596622340316647623, 1361129467683753853853498429727072845993)*X^75 + Mod(807755330854111193378287983578122481935, 1361129467683753853853498429727072845993)*X^73 + Mod(871960786282260283301608805263284714785, 1361129467683753853853498429727072845993)*X^71 + Mod(702032770941643622144401062630182522335, 1361129467683753853853498429727072845993)*X^69 + Mod(990087324129431270555441152398448393644, 1361129467683753853853498429727072845993)*X^67 + Mod(1202266642989700242880238648517060565132, 1361129467683753853853498429727072845993)*X^65 + Mod(1063286024567275417367361037174396167396, 1361129467683753853853498429727072845993)*X^63 + Mod(629832656637286357471837718388654441043, 1361129467683753853853498429727072845993)*X^61 + Mod(332915640848665930837942142211433416180, 1361129467683753853853498429727072845993)*X^59 + Mod(658458566574024735919117539682058568227, 1361129467683753853853498429727072845993)*X^57 + Mod(1168720512313650504191306915123247560512, 1361129467683753853853498429727072845993)*X^55 + Mod(635682147386403676903880222884156611962, 1361129467683753853853498429727072845993)*X^53 + Mod(12750025896606221886162826059330014617, 1361129467683753853853498429727072845993)*X^51 + Mod(959174480879931624472689851231618624581, 1361129467683753853853498429727072845993)*X^49 + Mod(1072626171825999128889614633172925151745, 1361129467683753853853498429727072845993)*X^47 + Mod(1073254360002273068824171841882022370898, 1361129467683753853853498429727072845993)*X^45 + Mod(1054833219335097330206455198698741222396, 1361129467683753853853498429727072845993)*X^43 + Mod(246952529062988730139100270741912731203, 1361129467683753853853498429727072845993)*X^41 + Mod(46825971401002902677138310511654246801, 1361129467683753853853498429727072845993)*X^39 + Mod(1127168615159286564112827834051284238889, 1361129467683753853853498429727072845993)*X^37 + Mod(1114674660510398311334481640098533949250, 1361129467683753853853498429727072845993)*X^35 + Mod(1146347043105506496967088106617850114061, 1361129467683753853853498429727072845993)*X^33 + Mod(1204364947958270579874656137827557545018, 1361129467683753853853498429727072845993)*X^31 + Mod(306640823984382997811676208604360131398, 1361129467683753853853498429727072845993)*X^29 + Mod(1064872027187544116550764606989258720568, 1361129467683753853853498429727072845993)*X^27 + Mod(744351085202283286400472030617477919095, 1361129467683753853853498429727072845993)*X^25 + Mod(920164905915024628459309355889427800385, 1361129467683753853853498429727072845993)*X^23 + Mod(1007918198321688650139869157585961679656, 1361129467683753853853498429727072845993)*X^21 + Mod(373674595619701162230703713564860554040, 1361129467683753853853498429727072845993)*X^19 + Mod(936948799250390255388511143059167155203, 1361129467683753853853498429727072845993)*X^17 + Mod(1332888946709153102098924318814794543032, 1361129467683753853853498429727072845993)*X^15 + Mod(637158728445246552806376327477697602834, 1361129467683753853853498429727072845993)*X^13 + Mod(124162529377417902470473331724146179407, 1361129467683753853853498429727072845993)*X^11 + Mod(543273495681448899961583453729826767003, 1361129467683753853853498429727072845993)*X^9 + Mod(1061779686881918999091260234268055335030, 1361129467683753853853498429727072845993)*X^7 + Mod(153399407141786895857562473499200327042, 1361129467683753853853498429727072845993)*X^5 + Mod(1086868942176930070419333983631656325772, 1361129467683753853853498429727072845993)*X^3 + Mod(1012316126965060809534212858025614223369, 1361129467683753853853498429727072845993)*X, Mod(1, 1361129467683753853853498429727072845993)*X^200 + Mod(1, 1361129467683753853853498429727072845993)*X^20 + Mod(1, 1361129467683753853853498429727072845993)*X^2 + Mod(1, 1361129467683753853853498429727072845993))
Errors (if any) and Timing Info:
Timing:
real 0m2.071s
user 0m2.050s
sys 0m0.020s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:18:09 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:18:26 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:18:40 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
20!
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
2432902008176640000
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:19:08 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
20!
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
2432902008176640000
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:19:21 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
10!
20!
Pi
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
3628800
2432902008176640000
3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:19:47 2004
Input: Pi
Output: 3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:20:07 2004
Input: 100!
Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:21:05 2004
Input: 2^100;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 01:21:12 2004
Input: 2^100
Output: 1267650600228229401496703205376
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host argon.fokus.fraunhofer.de. (193.175.133.167)
Time: Thu Jul 8 06:35:53 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host p508F6C2E.dip.t-dialin.net. (80.143.108.46)
Time: Thu Jul 8 16:30:48 2004
Input: 1+5
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:40:50 2004
Input: ((4^11)-1)/2047
Output: 2049
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:41:14 2004
Input: ((6^11)-1)/2047
Output: 15773785/89
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:41:24 2004
Input: ((6^22)-1)/2047
Output: 5722682775750745/89
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:41:32 2004
Input: ((6^88)-1)/2047
Output: 146619654268575564760071564130423232490962597413707041234481055745
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:41:58 2004
Input: ((8^88)-1)/2047
Output: 14481081995482631181452941945395263512670794369518311868149067662933933164545
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:42:13 2004
Input: ((8^11)-1)/2047
Output: 4196353
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:43:32 2004
Input: ((3^11)-1)/2047
Output: 7702/89
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:43:47 2004
Input: ((3^22)-1)/2047
Output: 1364393896/89
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:43:55 2004
Input: ((3^44)-1)/2047
Output: 42816126181896140560/89
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:44:03 2004
Input: ((3^88)-1)/2047
Output: 473753654024193259832350728951676021280
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 17:44:29 2004
Input: ((3^88)-1)/2047
(3^88)/(2^11)
Output: 473753654024193259832350728951676021280
969773729787523602876821942164080815560161/2048
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 18:53:11 2004
Input: a:=233;
m:=1;
for i := 1 to a-1 do
x:= i*i*2;
if a mod x eq m do
print(i);
print(x);
end if;
end for;
Output: ifamodxeqmdo
i
x
Errors (if any) and Timing Info: *** unexpected character: a:=233;
^-----
*** unexpected character: m:=1;
^---
*** unexpected character: fori:=1toa-1do
^---------
*** unexpected character: x:=i*i*2;
^-------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 8 18:54:16 2004
Input: a:=233;
m:=1;
for i := 1 to a-1 do
x:= i*i*2;
if x mod a eq m then
print(i);
print(x);
end if;
end for;
Output: ifxmodaeqmthen
i
x
Errors (if any) and Timing Info: *** unexpected character: a:=233;
^-----
*** unexpected character: m:=1;
^---
*** unexpected character: fori:=1toa-1do
^---------
*** unexpected character: x:=i*i*2;
^-------
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host proxy305.docomo.ne.jp. (210.136.161.197)
Time: Thu Jul 8 23:46:20 2004
Input: 10!
Output: 3628800
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host gb1000.math.kyushu-u.ac.jp. (133.5.165.4)
Time: Thu Jul 8 23:46:28 2004
Input: 10!
Output: 3628800
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host reached (203.255.11.125)
Time: Fri Jul 9 01:04:07 2004
Input: SimplexCode(5);
[31,5,16] Linear Code over GF(2)
Generator matrix:
K:=FiniteField(2);
C:=LinearCode;
CoveringRadius(C);
Output: [1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0]
[0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1]
[0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0]
[0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0]
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: SimplexCode(5);
^---------------
*** unused characters: [31,5,16]LinearCodeoverGF(2)
^-------------------
*** unexpected character: K:=FiniteField(2);
^----------------
*** unexpected character: C:=LinearCode;
^-
*** expected character: '=' instead of: CoveringRadius(C);
^-
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host r007100.ap.plala.or.jp. (220.108.7.100)
Time: Fri Jul 9 07:59:37 2004
Input: factor(316919940409023301982838792872119171455867827701381815142203438704485713329508
615413648334586665467004146971945978256063780241829268496250501665871483845499
199886200304237131788716370031565725367651761275224043787145224266019916489829
384757151091175208199486427572354023248098524425839413521757851055185165797632
323966267694307432998207502389570743548892485918698113038516357403800410938038
156996451424322622310672944034003549072787674797422498103283118704456721931637
031894116588062272895993340830991641298501813135794295935504701500968819606514
89420035028296201594439795251325605657219638906086923294477043805460631 )
Output: 615413648334586665467004146971945978256063780241829268496250501665871483845499
199886200304237131788716370031565725367651761275224043787145224266019916489829
384757151091175208199486427572354023248098524425839413521757851055185165797632
323966267694307432998207502389570743548892485918698113038516357403800410938038
156996451424322622310672944034003549072787674797422498103283118704456721931637
31894116588062272895993340830991641298501813135794295935504701500968819606514
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...5142203438704485713329508
^
*** unused characters: ...6086923294477043805460631)
^-
Timing:
real 0m0.096s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host r007100.ap.plala.or.jp. (220.108.7.100)
Time: Fri Jul 9 07:59:47 2004
Input: factor(316919940409023301982838792872119171455867827701381815142203438704485713329508
615413648334586665467004146971945978256063780241829268496250501665871483845499
199886200304237131788716370031565725367651761275224043787145224266019916489829
384757151091175208199486427572354023248098524425839413521757851055185165797632
323966267694307432998207502389570743548892485918698113038516357403800410938038
156996451424322622310672944034003549072787674797422498103283118704456721931637
031894116588062272895993340830991641298501813135794295935504701500968819606514
89420035028296201594439795251325605657219638906086923294477043805460631)
Output: 615413648334586665467004146971945978256063780241829268496250501665871483845499
199886200304237131788716370031565725367651761275224043787145224266019916489829
384757151091175208199486427572354023248098524425839413521757851055185165797632
323966267694307432998207502389570743548892485918698113038516357403800410938038
156996451424322622310672944034003549072787674797422498103283118704456721931637
31894116588062272895993340830991641298501813135794295935504701500968819606514
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...5142203438704485713329508
^
*** unused characters: ...6086923294477043805460631)
^-
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host r007100.ap.plala.or.jp. (220.108.7.100)
Time: Fri Jul 9 08:00:26 2004
Input: factor(31691994040902330198283879287211917145586782770138181514220343870448571332950861541364833458666546700414697194597825606378024182926849625050166587148384549919988620030423713178871637003156572536765176127522404378714522426601991648982938475715109117520819948642757235402324809852442583941352175785105518516579763232396626769430743299820750238957074354889248591869811303851635740380041093803815699645142432262231067294403400354907278767479742249810328311870445672193163703189411658806227289599334083099164129850181313579429593550470150096881960651489420035028296201594439795251325605657219638906086923294477043805460631)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.994s
user 0m20.960s
sys 0m0.040s
************** PARI *****************
Host 222-152-94-17.jetstream.xtra.co.nz. (222.152.94.17)
Time: Fri Jul 9 08:29:55 2004
Input: 018740-522923-584934-248763-851764-312835-112786-131665
Output: -2746930
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host asd-n-1877f.adsl.wanadoo.nl. (81.69.165.127)
Time: Fri Jul 9 10:43:22 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host asd-n-1877f.adsl.wanadoo.nl. (81.69.165.127)
Time: Fri Jul 9 10:44:17 2004
Input: 3^2/4^3
Output: 9/64
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host asd-n-1877f.adsl.wanadoo.nl. (81.69.165.127)
Time: Fri Jul 9 10:44:35 2004
Input: 3^2/4^3
Output: 9/64
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip503c61b1.speed.planet.nl. (80.60.97.177)
Time: Fri Jul 9 16:18:58 2004
Input: nfinit(x^2+1)
Output: [x^2 + 1, [0, 1], -4, 1, [Mat([1, 0.E-67 + 1.000000000000000000000000000*I]), [2; 0.E-67 - 2.000000000000000000000000000*I], [2, 0.E-67; 0.E-67, 2.000000000000000000000000000], [2, 0; 0, -2], [2, 0; 0, 2], [-2, 0; 0, 2], [2, [0, 2]~]], [0.E-67 + 1.000000000000000000000000000*I], [1, x], [1, 0; 0, 1], [1, 0, 0, -1; 0, 1, 1, 0]]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (24.66.94.142)
Time: Fri Jul 9 17:33:13 2004
Input: x*x*x + x + 1 = 3.4
Output:
Errors (if any) and Timing Info: *** unexpected character: x*x*x+x+1=3.4
^----
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (24.66.94.142)
Time: Fri Jul 9 17:34:03 2004
Input: (x*x*x)+x+1=3.4
Output:
Errors (if any) and Timing Info: *** unexpected character: (x*x*x)+x+1=3.4
^----
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host d142-59-182-203.abhsia.telus.net. (142.59.182.203)
Time: Sat Jul 10 02:49:11 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host d142-59-182-203.abhsia.telus.net. (142.59.182.203)
Time: Sat Jul 10 02:49:16 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host d142-59-182-203.abhsia.telus.net. (142.59.182.203)
Time: Sat Jul 10 02:49:23 2004
Input: sin(2.3)
Output: 0.7457052121767201773854062116
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:37:33 2004
Input: ((2^318)-1)/321
Output: 1663541305234353646725094786736411304207713802458452313042867295811697605748162422136263307583
Errors (if any) and Timing Info:
Timing:
real 0m0.273s
user 0m0.030s
sys 0m0.070s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:37:56 2004
Input: ((2^159)-1)/321
Output: 730750818665451459101842416358141509827966271487/321
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:38:15 2004
Input: ((2^106)-1)/321
Output: 252740306587559756061647991103
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:38:28 2004
Input: ((2^53)-1)/321
Output: 9007199254740991/321
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:38:41 2004
Input: ((2^106)-1)/321
Output: 252740306587559756061647991103
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 10 07:39:20 2004
Input: ((2^106)-1)/321
321/53
Output: 252740306587559756061647991103
321/53
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 09:52:01 2004
Input: (a+b)^2
Output: a^2 + 2*b*a + b^2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 09:59:35 2004
Input: a+b*(a+b)^2+(a+2*b)
Output: b*a^2 + (2*b^2 + 2)*a + (b^3 + 2*b)
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 10:00:06 2004
Input: a+b*(a+b)^2+(a+2*b)=a+b
Output:
Errors (if any) and Timing Info: *** unexpected character: a+b*(a+b)^2+(a+2*b)=a+b
^----
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 10:00:52 2004
Input: a+b*2=b
Output:
Errors (if any) and Timing Info: *** unexpected character: a+b*2=b
^--
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host p508E4D8D.dip0.t-ipconnect.de. (80.142.77.141)
Time: Sat Jul 10 10:01:59 2004
Input: (a+b*2)^3
Output: a^3 + 6*b*a^2 + 12*b^2*a + 8*b^3
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host ip-66-218-236-99.cableaz.com. (66.218.236.99)
Time: Sat Jul 10 17:28:44 2004
Input: factor(123456)
Output:
[2 6]
[3 1]
[643 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 24-116-16-71.cpe.cableone.net. (24.116.16.71)
Time: Sun Jul 11 04:04:09 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host liifi-8-18.n.club-internet.fr. (213.44.39.18)
Time: Sun Jul 11 17:04:13 2004
Input: 1+3
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.258s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host liifi-8-18.n.club-internet.fr. (213.44.39.18)
Time: Sun Jul 11 17:04:44 2004
Input: 1+3;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:13:43 2004
Input: gcd(245969,40811)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:14:06 2004
Input: gcd(245969,40811)
gcd(245969,40809)
Output: 1103
223
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:27:08 2004
Input: gcd(245969,40811)
gcd(245969,40809)
gcd(245969,6771)
Output: 1103
223
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 03:27:25 2004
Input: gcd(245969,40811)
gcd(245969,40809)
gcd(245969,6771)
gcd(245969,6770)
gcd(245969,6772)
Output: 1103
223
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 04:50:39 2004
Input: gcd(2047,623)
gcd(2047,621)
Output: 89
23
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 04:51:12 2004
Input: gcd(2047,623)
gcd(2047,621)
gcd(623,621)
Output: 89
23
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 04:52:24 2004
Input: gcd(8388607,3034179)
gcd(8388607,3034177)
Output: 47
178481
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 05:25:08 2004
Input: sqrt(2047)
Output: 45.24378410345447663370918825
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 05:25:44 2004
Input: sqrt(8388607)
Output: 2896.309203106602014444629034
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:19 2004
Input: gcd(2048,622)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:28 2004
Input: gcd(2046,622)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:36 2004
Input: gcd(2047,622)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:16:51 2004
Input: gcd(2047,621)
gcd(2047,623)
Output: 23
89
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 12 06:41:19 2004
Input: gcd(2047,621)
gcd(2047,623)
(88 * 90)
Output: 23
89
7920
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Mon Jul 12 11:43:21 2004
Input: factor(9686081683177098475223715931)
Output:
[9686081683177098475223715931 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.175s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Mon Jul 12 11:43:28 2004
Input: factor(1314709807173945124386524551786317959588529415262456959495075086473055274219732117053667996891)
Output:
[1314709807173945124386524551786317959588529415262456959495075086473055274219732117053667996891 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.127s
user 0m0.110s
sys 0m0.020s
************** PARI *****************
Host proxy-b.ictp.trieste.it. (140.105.16.64)
Time: Mon Jul 12 11:54:51 2004
Input: ?classnumber
Output:
Errors (if any) and Timing Info: *** classnumber: unknown identifier.
Timing:
real 0m0.065s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host proxy-b.ictp.trieste.it. (140.105.16.64)
Time: Mon Jul 12 12:08:51 2004
Input: hclassno(7)
Output:
Errors (if any) and Timing Info: *** obsolete function: hclassno(7)
^-----------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: hclassno(x) ===> qfbhclassno(x)
qfbhclassno(x): Hurwitz-Kronecker class number of x>0.
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 21:33:03 2004
Input: gcd(381899,623)
Output: 623
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 21:33:13 2004
Input: gcd(381899,2047)
Output: 89
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 22:17:01 2004
Input: gcd(100108881600,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 22:17:07 2004
Input: gcd(100108881600,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 23:14:39 2004
Input:
gcd(381899,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 12 23:14:46 2004
Input: gcd(381899,2047)
Output: 89
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-24-189.client.comcast.net. (67.169.24.189)
Time: Tue Jul 13 03:00:21 2004
Input: F3 := CyclotomicField(3);
chi := (DirichletGroup(7,F3).1)^2;
space := CuspForms(DirichletGroup(7^2*11,F3)!chi,2);
Newforms(space);
Output:
Errors (if any) and Timing Info: *** unexpected character: F3:=CyclotomicField(3);
^--------------------
*** unexpected character: chi:=(DirichletGroup(7,F
^--------------------
*** unexpected character: space:=CuspForms(Dirichlet
^--------------------
*** expected character: '=' instead of: Newforms(space);
^-
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 149.64.142.82.ip.b26.cz. (82.142.64.149)
Time: Tue Jul 13 05:23:19 2004
Input: a=(x-y)^2
Output: x^2 - 2*y*x + y^2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:41:02 2004
Input: 1234^676775
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.006s
user 0m20.460s
sys 0m0.540s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:41:37 2004
Input: Mod(1234,12351213461357267835645846746546795679567956795679567567597)^676775
Output: Mod(683742521329773078074680091791237464742871064356364867916, 12351213461357267835645846746546795679567956795679567567597)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:44:35 2004
Input: (2*3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61)-1
Output: 117288381359406970983269
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:47:05 2004
Input: (2*3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67)-1
Output: 7858321551080267055879089
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:49:55 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71)-1
Output: 278970415063349480483707694
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:50:04 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71)-1
Output: 278970415063349480483707694
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:51:55 2004
Input: 278970415063349480483707694/2
Output: 139485207531674740241853847
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:54:30 2004
Input: 278970415063349480483707696/2
Output: 139485207531674740241853848
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:54:52 2004
Input: 139485207531674740241853848/2
Output: 69742603765837370120926924
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:55:18 2004
Input: 69742603765837370120926924/2
Output: 34871301882918685060463462
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:55:55 2004
Input: 34871301882918685060463462/2
Output: 17435650941459342530231731
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:59:11 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89)-1
Output: 11884370948172775385325268800679154
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:59:18 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89)-1
Output: 11884370948172775385325268800679154
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 05:59:55 2004
Input: 11884370948172775385325268800679154/2
Output: 5942185474086387692662634400339577
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:04:25 2004
Input: 5942185474086387692662634400339578/2
Output: 2971092737043193846331317200169789
Errors (if any) and Timing Info:
Timing:
real 0m0.323s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:08:49 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97)-1
Output: 1152783981972759212376551073665878034
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:09:18 2004
Input: 1152783981972759212376551073665878034/2
Output: 576391990986379606188275536832939017
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:11:48 2004
Input: 576391990986379606188275536832939018/2
Output: 288195995493189803094137768416469509
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:17:37 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97*101*103*107*109)-1
Output: 139867498408927468089138080936033904837498614
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:18:05 2004
Input: 139867498408927468089138080936033904837498614/2
Output: 69933749204463734044569040468016952418749307
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:21:42 2004
Input: 69933749204463734044569040468016952418749308/2
Output: 34966874602231867022284520234008476209374654
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:22:06 2004
Input: 34966874602231867022284520234008476209374654/2
Output: 17483437301115933511142260117004238104687327
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:28:02 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97*101*103*107*109*113*127)-1
Output: 2007238469666518094547220599513022568322942623864
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:28:33 2004
Input: (3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97*101*103*107*109*113*127)+1
Output: 2007238469666518094547220599513022568322942623866
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Tue Jul 13 06:29:03 2004
Input: 2007238469666518094547220599513022568322942623866/2
Output: 1003619234833259047273610299756511284161471311933
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:14:44 2004
Input: factor(7182818284)
Output:
[2 2]
[1795704571 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:04 2004
Input: 8182845904/factor(7182818284)
Output:
[-2045711476/897852285 4091422952/897852285]
[3673493448400356796/897852285 -4091422952/897852285]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:15 2004
Input: factor(7182818284)
Output:
[2 2]
[1795704571 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:44 2004
Input: factor(8182845904)
Output:
[2 4]
[701 1]
[729569 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:15:53 2004
Input: factor(8747135266)
Output:
[2 1]
[29 1]
[150812677 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:16:05 2004
Input: factor(7427466391)
Output:
[7427466391 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:30:39 2004
Input: factor(555630322675904218078384300423796723653)
Output:
[555630322675904218078384300423796723653 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host t163181.ap.plala.or.jp. (220.220.163.181)
Time: Tue Jul 13 10:31:08 2004
Input: factor(139981161221010397731653123017062767499842036659860080769697961983570117014800778312472409366714045213400567407)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.001s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 03:58:59 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*1490-1
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: ...13*127*131*137*139*1490-1
^
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 03:59:21 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149)-1
Output: 4382661674428236282532221951208729795953828672165464
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:00:18 2004
Input: 4382661674428236282532221951208729795953828672165464/2
Output: 2191330837214118141266110975604364897976914336082732
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:00:52 2004
Input: 2191330837214118141266110975604364897976914336082732/2
Output: 1095665418607059070633055487802182448988457168041366
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:01:24 2004
Input: 1095665418607059070633055487802182448988457168041366/2
Output: 547832709303529535316527743901091224494228584020683
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:08:30 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149)+1
Output: 4382661674428236282532221951208729795953828672165466
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:08:42 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149)+1
Output: 4382661674428236282532221951208729795953828672165466
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:09:02 2004
Input: 4382661674428236282532221951208729795953828672165466/2
Output: 2191330837214118141266110975604364897976914336082733
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:14:56 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199)-1
Output: 22909009327242202204130709265112207912169495438428634624356140189466777305064
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:15:52 2004
Input: 22909009327242202204130709265112207912169495438428634624356140189466777305066/2
Output: 11454504663621101102065354632556103956084747719214317312178070094733388652533
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:30:53 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293)-1
Output: 6002748397836999248863020468208450736997806554017496903932051670598313837644285135634891230800564373063202267538664
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:31:49 2004
Input: 6002748397836999248863020468208450736997806554017496903932051670598313837644285135634891230800564373063202267538666/2
Output: 3001374198918499624431510234104225368498903277008748451966025835299156918822142567817445615400282186531601133769333
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:36:52 2004
Input: 19*6+1
Output: 115
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:47:21 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397)-1
Output: 800900585975518067960773036765244965758762386751156157068271708761939492572923277470487185220529234592326887860792743726630423381456997610146278428096144
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:48:48 2004
Input: 800900585975518067960773036765244965758762386751156157068271708761939492572923277470487185220529234592326887860792743726630423381456997610146278428096144/4
Output: 200225146493879516990193259191311241439690596687789039267067927190484873143230819367621796305132308648081721965198185931657605845364249402536569607024036
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Wed Jul 14 04:49:23 2004
Input: 800900585975518067960773036765244965758762386751156157068271708761939492572923277470487185220529234592326887860792743726630423381456997610146278428096146/2
Output: 400450292987759033980386518382622482879381193375578078534135854380969746286461638735243592610264617296163443930396371863315211690728498805073139214048073
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:32:42 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397*401)-1
Output: 321161134976182745252269987742863231269263717087213618984376955213537736521742234265665361273432223071523082032177890234378799775964256041668657649666554144
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:33:03 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397*401)-1
Output: 321161134976182745252269987742863231269263717087213618984376955213537736521742234265665361273432223071523082032177890234378799775964256041668657649666554144
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:33:52 2004
Input: 321161134976182745252269987742863231269263717087213618984376955213537736521742234265665361273432223071523082032177890234378799775964256041668657649666554144/4
Output: 80290283744045686313067496935715807817315929271803404746094238803384434130435558566416340318358055767880770508044472558594699943991064010417164412416638536
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:34:37 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397*401*409)-1
Output: 131354904205258742808178424986831061589128860288670370164610174682336934237392573814657132760833779236252940551160757105860929108369380721042480978713620645304
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:35:10 2004
Input: 131354904205258742808178424986831061589128860288670370164610174682336934237392573814657132760833779236252940551160757105860929108369380721042480978713620645304/4
Output: 32838726051314685702044606246707765397282215072167592541152543670584233559348143453664283190208444809063235137790189276465232277092345180260620244678405161326
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:35:24 2004
Input: 131354904205258742808178424986831061589128860288670370164610174682336934237392573814657132760833779236252940551160757105860929108369380721042480978713620645304/8
Output: 16419363025657342851022303123353882698641107536083796270576271835292116779674071726832141595104222404531617568895094638232616138546172590130310122339202580663
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:41:52 2004
Input: gcd(3034178,622)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:41:59 2004
Input: gcd(3034178,620)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:06 2004
Input: gcd(3034178,620)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:13 2004
Input: gcd(3034178,623)
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:19 2004
Input: gcd(3034178,621)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:31 2004
Input: gcd(3034179,623)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:38 2004
Input: gcd(3034179,623)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:42:46 2004
Input: gcd(3034179,621)
Output: 27
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:06 2004
Input: gcd(3034177,621)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:43:13 2004
Input: 26*6=2
Output:
Errors (if any) and Timing Info: *** unexpected character: 26*6=2
^--
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:15 2004
Input: gcd(3034177,623)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Wed Jul 14 05:43:22 2004
Input: 26*6+2
Output: 158
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:27 2004
Input: gcd(3034177,2047)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:35 2004
Input: gcd(3034178,2047)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:43:40 2004
Input: gcd(3034179,2047)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:44:03 2004
Input: gcd(3034178,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:44:29 2004
Input: gcd(3034178,8388608)
gcd(3034179,8388607)
gcd(3034177,8388607)
Output: 2
47
178481
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:44:42 2004
Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
Output: 2
47
178481
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:45:14 2004
Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
ln(8388607/3034178)
ln(2047/622)
Output: 2
47
178481
Errors (if any) and Timing Info: *** obsolete function: ln(8388607/3034178)
^-------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: ln(x) ===> log(x)
log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0:
default, or 1: calls logagm, computed using the agm.
*** obsolete function: ln(2047/622)
^------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: ln(x) ===> log(x)
log(x,{flag=0}): natural logarithm of x. flag is optional, and can be 0:
default, or 1: calls logagm, computed using the agm.
Timing:
real 0m0.093s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:45:23 2004
Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
log(8388607/3034178)
log(2047/622)
Output: 2
47
178481
1.016933928075233476608913252
1.191190492922110085511340685
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:45:52 2004
Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
log(8388607/3034178)-log(2047/622)
Output: 2
47
178481
-0.1742565648468766089024274333
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:46:15 2004
Input: gcd(3034178,8388606)
gcd(3034179,8388607)
gcd(3034177,8388607)
log(8388607/3034178)-log(2047/622)
2^29-1
Output: 2
47
178481
-0.1742565648468766089024274333
536870911
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:51:39 2004
Input: p := 23;
x := (2^p) -1;
a := 2;
z := 2
while z ne 1 mod x do
x := x+1;
z = x * x;
end while
print(x);
Output: whilezne1modxdo
endwhile
x
Errors (if any) and Timing Info: *** unexpected character: p:=23;
^----
*** unexpected character: x:=(2^p)-1;
^---------
*** unexpected character: a:=2;
^---
*** unexpected character: z:=2
^--
*** unexpected character: x:=x+1;
^-----
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:56:52 2004
Input: p := 23;
x := (2^p) -1;
for a := 2 to p-1 do
z := a * a;
if z mod p eq 1 then
print(x);
end if;
end for;
Output: ifzmodpeq1then
x
Errors (if any) and Timing Info: *** unexpected character: p:=23;
^----
*** unexpected character: x:=(2^p)-1;
^---------
*** unexpected character: fora:=2top-1do
^---------
*** unexpected character: z:=a*a;
^-----
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 05:57:14 2004
Input: p := 23;
x := (2^p) -1;
for a := 2 to p-1 do
z := a * a;
if z mod p eq 1 then
print(a);
end if;
end for;
Output: ifzmodpeq1then
a
Errors (if any) and Timing Info: *** unexpected character: p:=23;
^----
*** unexpected character: x:=(2^p)-1;
^---------
*** unexpected character: fora:=2top-1do
^---------
*** unexpected character: z:=a*a;
^-----
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:03:50 2004
Input: 3034178/7597.363
622/118.7711
Output: 399.3725191227535132913880776
5.236964210990720806660879624
Errors (if any) and Timing Info:
Timing:
real 0m0.102s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:04:48 2004
Input: (3034178/7597.363)/23
(622/118.7711)/11
Output: 17.36402257055450057788643815
0.4760876555446109824237163295
Errors (if any) and Timing Info:
Timing:
real 0m0.113s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:05:18 2004
Input: (3034178/7597.363)/23
(622/118.7711)/11
8388607/2047
Output: 17.36402257055450057788643815
0.4760876555446109824237163295
8388607/2047
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:05:30 2004
Input: (3034178/7597.363)/23
(622/118.7711)/11
8388608/2048
Output: 17.36402257055450057788643815
0.4760876555446109824237163295
4096
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:09:57 2004
Input: 4878/31
Output: 4878/31
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Jul 14 06:10:03 2004
Input: 4878/32
Output: 2439/16
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:45:37 2004
Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
Output: 256999
1
2089
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:47:02 2004
Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
gcd((2^29)-1,79429177)
gcd((2^29)-1,79429178)
gcd((2^29)-1,79429179)
gcd((2^29)-1,133365936)
gcd((2^29)-1,133365937)
gcd((2^29)-1,133365938)
Output: 256999
1
2089
1
1
1
1103
1
486737
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:47:41 2004
Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
gcd((2^29)-1,71429177)
gcd((2^29)-1,71429178)
gcd((2^29)-1,71429179)
gcd((2^29)-1,133365936)
gcd((2^29)-1,133365937)
gcd((2^29)-1,133365938)
Output: 256999
1
2089
2304167
1
233
1103
1
486737
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:48:45 2004
Input: gcd((2^29)-1,61936759)
gcd((2^29)-1,61936760)
gcd((2^29)-1,61936761)
gcd((2^29)-1,71429177)
gcd((2^29)-1,71429178)
gcd((2^29)-1,71429179)
gcd((2^29)-1,133365936)
gcd((2^29)-1,133365937)
gcd((2^29)-1,133365938)
gcd((2^29)-1,403504973)
gcd((2^29)-1,403504974)
gcd((2^29)-1,403504975)
Output: 256999
1
2089
2304167
1
233
1103
1
486737
486737
1
1103
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 17:54:13 2004
Input: 17*64557
Output: 1097469
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:06:59 2004
Input: gcd(488,564)
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:16:06 2004
Input: gcd(536870910,61936760)
Output: 10
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:16:26 2004
Input: gcd(536870910,61936760)
gcd(2046,622)
Output: 10
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:16:59 2004
Input: gcd(536870910,71429178)
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 18:17:19 2004
Input: gcd(536870910,133365937)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host remote.ditechcom.com. (12.108.187.222)
Time: Wed Jul 14 19:32:54 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host remote.ditechcom.com. (12.108.187.222)
Time: Wed Jul 14 19:33:18 2004
Input: 5*6=
Output:
Errors (if any) and Timing Info: *** unexpected character: 5*6=
^-
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:21:58 2004
Input: x=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609
sqrt(x)
Output: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609
1.762787066122860943811705736 E96
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:27:11 2004
Input: x=2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
sqrt(x)
Output: 2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
4.639764113313186207216787705 E79
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:27:42 2004
Input: x=2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
sqrt(x)
x/45427892858481394071686190649738831656137145778469793250959984709250004157335359
Output: 2152741102718889701896015201312825429257773588845675980170497676778133145218859135673011059773491059602497907111585214302079314665202840140619946994927570407753
4.639764113313186207216787705 E79
47388090603832016196633832303788951973268922921040957944741354648812028493909367
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 22:48:53 2004
Input: gcd(536870911,245969)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:02:14 2004
Input: znorder(245969)
Output:
Errors (if any) and Timing Info: *** not an element of (Z/nZ)* in order.
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:02:36 2004
Input: order(245969)
Output:
Errors (if any) and Timing Info: *** obsolete function: order(245969)
^-------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: order(x) ===> znorder(x)
znorder(x): order of the integermod x in (Z/nZ)*.
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:03:03 2004
Input: compatible = 3
order(245969)
Output: 3
Errors (if any) and Timing Info: *** obsolete function: order(245969)
^-------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: order(x) ===> znorder(x)
znorder(x): order of the integermod x in (Z/nZ)*.
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 14 23:07:49 2004
Input: help
Output: help
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:23:48 2004
Input: (2*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397)-1
Output: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:26:52 2004
Input: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3
Output: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:27:12 2004
Input: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3
Output: 533933723983678711973848691176829977172508257834104104712181139174626328381948851646991456813686156394884591907195162484420282254304665073430852285397429/3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:33:30 2004
Input: 25*6
Output: 150
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:33:42 2004
Input: 1-1
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:50:58 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397*401*409*419*421*431*433*439*443*449*457*461*463*467*479*487*491*499)-1
Output: 983068259633549456545588997159603333632249273234087553476939855349496176143366554645238448435681527624099672462001110048727722178521786942544762709015786521500863757768259878359363963819066848732444
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:51:27 2004
Input: (3*5*7*11*13*17*19*23*29*31*41*47*53*59*61*67*71*73*79*83*89*97*101*103*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367*379*383*389*397*401*409*419*421*431*433*439*443*449*457*461*463*467*479*487*491)-1
Output: 1970076672612323560211601196712631931126752050569313734422725161021034421128991091473423744360083221691582509943890000097650745848741055997083692803638850744490708933403326409537803534707548795054
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 66-178-22-82.reverse.newskies.net. (66.178.22.82)
Time: Thu Jul 15 03:52:16 2004
Input: 1970076672612323560211601196712631931126752050569313734422725161021034421128991091473423744360083221691582509943890000097650745848741055997083692803638850744490708933403326409537803534707548795054/2
Output: 985038336306161780105800598356315965563376025284656867211362580510517210564495545736711872180041610845791254971945000048825372924370527998541846401819425372245354466701663204768901767353774397527
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 05:01:28 2004
Input: gcd(2047,763148)
gcd(2047,763149)
gcd(2047,763150)
Output: 1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 05:02:57 2004
Input: gcd(2047,763163)
gcd(2047,763149)
gcd(2047,763150)
Output: 23
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (217.33.199.34)
Time: Thu Jul 15 10:22:55 2004
Input: factor(12007001)
Output:
[3001 1]
[4001 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Thu Jul 15 10:43:36 2004
Input: 2^34526
Output: 2299483484031904226172550994935689161671559308745911901978860391633963374697647513706679050146218748880356166440573598896265555335243255431010597072442452095764529218084895503841672454911570179420988422277341263895743089871223611795726965238645427996061549530786164607558194857599284476466820255974734018415324913739298872160164660485249537620884842034687140202805848551072251871342581106815243726390239994561898879187524236284416701460214184146096286843728242654262879825444696946900777549661046055087670808622712879801234402207282088763507025642643737034005563861648944182611869908635650692143808127309627575951770705939139336897504789607748189568007499097712768712733336892862782303126944253520719778116779830929698895832951240611156061205295600886901231504335680895557652802280873828855861772730887014206600203693784711086574518518769452309972981822655751740163558254071296573928223632261759830871190228954368117381851209272890742915890293480827701697644352992439494072782139070226002120312677384580201695074069225558895817231866830475935134443502383516611981196252045782092362868299530015596327912453270050354095158125756729642005194567932769241864433752129106427637019030379227067376947693293480667530513938603278406315039892214357204628433159679751373296854100043846095283316208749916731541320274870120137023996236338984394300405800259142402783043405374763199980677724510256227298919288721435144201707630067800140732425687252684508511472292529183619116117309455146832725100721245931356956134177765049541038705697610705815908292869217768213402704476019437214807821624470756825194257559087242330326635020771618100326800180497894802545403403165564495116241369645987818595102076674827326731788933007405211070523301836534308757134740128092955613873870601002529771573155279965136305954656799506615886878263498579173985084827273312837308546698386475589397428307964256177890896085732947598845014123640387768900980330834613993772584175558796803732446033779209899648249471070466303805113475082899971122813796096947115212801125412241821406997032993482719941641484484132997485221098580690965688911610329789461060969003694502947064591454170133847416208022557705458727566753923876405339203809794457154417879914324928905479468631813923234915576350693960123640866449554414174996659620260823608675382197608054570085848169624234824186631382823554283379316956092891709946379370910269303730604787125351537820777517928620246667192347682996050530936670064423505447331016837665196140011779734722131387861614077905986962968975152309758375553780167061170668429307979168932186560639704657965411477608217731827387605705015206610940247300614206970721579606977351408819156481024478178994125701690978560184239140579997243189880271372861381422884574545057828378364085863450542381735857543326463538984583864486046891592444021296366481882377734119673621430320141852563302813280484948653737396523731982033056134732373817596439547637862066259243929332128192110432070365938415060952373000826908253425420673353313596556118149761581136657133530081233836435713625282254413705624380120105588854220141244764719103209219703275973103037997422201985686435131428493340311910413509419386823974660814975216520668543461995177240107278229192955005611556382068748658036778607858010757837068830705972662882666972298273184116928089622535638859657085801594870212261527903878105358546205520142100707554624111524179357108390805412190191714724550343791901229739216513355802952533151062705091498897023113303374016446197259995324529623706008759127245709952284836944844096565865054529188359105607273367158870445057430779597982587559281459388611228765253006199395724687604651236635732396421178021985734723140488542357480159478859862175263599786689076038343253496570337255126841729324867353842728374231372712753044897950378461864283689173464225164720347936646854766982265075211835192584705425264656309355827322550228796659729399789452155620407943078580292997404314199947555564436708986904621558027097660414393692460052228414255346160622366947697732480310916052981224171091024628907821022953597303935325866399578676923498701489007164806898993732270362049534688764371722062089582860186179432808264760508023251629989479813508043711317671049175875428812392526501616301228507110715672827265176384355534176082973998120327552880130234817396771808331891702367081293741177508079251420570526508184449064597532145062536458454734579872239928216419884243760870128434572917070911362576317264698159247683439636847421782063038745895457571734197853687454085340832676995178923245495410706833416612306758234483110037607132020170554635843935411510891575338885223308772545887928296097344296901234388234500081502059494189194644366385532235755318182961304063722981578584081185175027277098996232547732355025146133913792758565247334228311229999530565042624751079296986157712338130923352362259774724042913790191027505558646065440571031379663651888194249191570864967960657430903374343802028099714486048963029571200524632068759731678852169148638402722794558715739272801642692294453433657854332806669988805970284416709520972273411331977824252474695965826931145251130367853061155460254346273686459638077931280092672235572960567783934046654661168243113250939625060270551462137028238580147451677859974058597717510527020931263264777123655374834821327679553728749524437037479251512387474645169878369861662235608625774867835394781932691109035589169563063784798358157865641749866678357988987029961658505323331699249358644212915948848161021984867408358953726392862409971262713667224997949288452016409669503826826585945218733691809893403898430143621602358178306693583599642274827698524936764887535251899424776518723742373586498955383262601082668640206869435168300377341323958458850574833235490678092203829038214837660765445674961856025996531665185128826139534619769263964588306332795471008606872814550176874498627365487083481603107629358459726850421060564123269582007615269579163510785286137993530122321360173445948016057388698460145939371894978632136193037472375167123747029654358843738089103600024619950125878462902060964463945520341042517490311208198050658024497270826024017403478558796481950621403892981415246211828043906442035207691022873133043793632657980439470926400391048267618602622296527392253719260225203173665298381393649504330889423201527623978644401629506491500651009766568554857967044561509213370508319742176334650563980384153069485917408734959106403121227526733379964902863210702846782952227615502182294471007489363703297333539011408925959840568497558628103745988569831941593733027192286650971740023678369382858434279871889003423168062927931091888500762711003047185985362124037861945900049429345574051061957474259726962882270210779475172976958935362488234847142688907115595690119112771502269101218982301678362626184314239271387628739933102053869105726374229290011599447788261841261632433292286793945077987403941796602257902284153148527835829201859677563542598119227105812267223630535582216599465064339275376055563650976789391936248702016872165391646075796606015707445085281207636923191795169330391469687471577042809343850591725944908076336210905588643336207390268101873622903050151382736228092532627605672518751660651495755126665940459599908462638324316992711157851917684401867136655478258311683709669072270922376024707453230135714263279718897728122290281382007491442914066494137091623783745927032579212745886167332456229202715173093026975284640527966970679337654585841217088819527340800941926217386512463503836545107145198867205585367688594339649429375976914817187230260092348005634240971619489652802066922298813549548910894193208634076105979399423764361545737941773082559948804985287232865367727937628168452516137892933013372346841670039819047199798898504902822822608474167149772493194873970313777606602377517631624950597493337156935656108311578084537792490354614368002695630623042542934026967341292705238328527275792307877277035771171746384720649733279149839002813873114118638076628725505583440386175432394853411311352476798687884620325161267915974234601036842013821617694789375763298806447450493132679496778597058106794740475141139960546840133080440796370990839583894407336488644767604023168777994887525030140389849556905191268882663539736804049721400735356167968533384612143840045229628174221137836660491912010286241482552743952628673588635569249579121293559642203966096325686447029813521518739175421174781189575662042224914955205467807671454798414444084109761036292379230589207745503341402847970772256081791149970970276800734553739857040326989952445676420929870811152131631517077005534275086822127208835207145677325751601690146092865278889006443183020757506679796248521813774284186369725514603661973391794683935036896379090852453442320379670465292761889585325282429431376759518330944598400683853318148026188495883180278825646631656055545125892028786612297032083072693200284644624554674992660073822854755052596937706520955251392287742265131326637878418730437013016404467267330692904260005081838284740470355589501671857544461209744197813531432304322135363448877851363603487613012462862724340807703887018193314023832618126261325815767004025328859938513850286356098272360429537769474424424944174465626436229461410437665847168619826889740753438252352041170301511639223336785465417258631008322561515343519583370757133503441681269748790682166658335203368364033056200860717307281339660924156231625379248312110335844904647532182647019522060886764702411071439097402788251414962461867957418747394499572452765453924574474679705422971581799133576493828062351108972659908520653982848676795564669803945072235475209389062618030749256629859820770936365637620965140289339989678145248956016595253322395217928941984906752629002147552308688695124665010068528891113220567780583750407221294285283163640740154404326114178331372095258926235983737753158771209119313524891035697360997277324089096785643459781778248592014812132735264737987546379303834565042699524179694089858469361699797005726818234602719520018427395198038343119941704538122599511288535604580822572984557718534618489331010430295352
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.089s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host fiber-83.aub.edu.lb. (69.60.65.83)
Time: Thu Jul 15 10:44:37 2004
Input: help
Output: help
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (69.158.126.18)
Time: Thu Jul 15 14:32:54 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:21:55 2004
Input: GCD(((2^4637)-1),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: GCD(((2^4637)-1),188
^--------------------
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:28 2004
Input: gcd(((2^4637)-1),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:39 2004
Input: gcd(((2^4637)),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:44 2004
Input: gcd(((2^4637)),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:22:59 2004
Input: gcd(((2^9274)-1),188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:38:18 2004
Input: gcd(2^29-1,245969)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 15 23:38:28 2004
Input: gcd(2^37-1,245969)
Output: 223
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:06 2004
Input: (2^83-1)/245969
Output: 9671406556917033397649407/245969
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:14 2004
Input: (2^83)/245969
Output: 9671406556917033397649408/245969
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:27 2004
Input: (2^74-1)/245969
Output: 84706125253267178721/1103
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:44 2004
Input: gcd((2^74-1),245969)
Output: 223
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 02:04:50 2004
Input: gcd((2^83-1),245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:22:19 2004
Input: gcd(681750, 683568)
gcd(681750, 686400)
gcd(681750, 687258)
gcd(681750, 687375)
Output: 1818
150
54
1125
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:23:11 2004
Input: gcd(681750, 683568)
gcd(681750, 686400)
gcd(681750, 687258)
gcd(681750, 687375)
gcd(683568, 686400)
gcd(683568, 687258)
gcd(683568, 687375)
gcd(683568, 690195)
Output: 1818
150
54
1125
48
18
423
141
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:24:07 2004
Input: gcd(681750, 683568)
gcd(681750, 686400)
gcd(681750, 687258)
gcd(681750, 687375)
gcd(683568, 686400)
gcd(683568, 687258)
gcd(683568, 687375)
gcd(683568, 690195)
gcd(686400, 687258)
gcd(686400, 687375)
gcd(686400, 690195)
gcd(686400, 693264)
Output: 1818
150
54
1125
48
18
423
141
858
975
165
6864
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:29:53 2004
Input: x = 3432
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 3432
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:30:23 2004
Input: x = 909
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 909
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:30:46 2004
Input: x = 42723
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 42723
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:31:08 2004
Input: x = 101
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 101
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:31:17 2004
Input: x = 143
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 143
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:31:34 2004
Input: x = 1818
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 1818
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:32:30 2004
Input: x = 4747
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 4747
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:32:45 2004
Input: x = 4747
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(4747,1818)
Output: 4747
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
101
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:07 2004
Input: x = 2937
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(4747,1818)
Output: 2937
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
101
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:26 2004
Input: x = 2937
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(979,1818)
Output: 2937
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:44 2004
Input: x = 979
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(979,1818)
Output: 979
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:34:52 2004
Input: x = 979*101
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
gcd(979,1818)
Output: 98879
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:38:58 2004
Input: x = 183
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 183
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:39:55 2004
Input: x = 1843
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 1843
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 16 04:40:04 2004
Input: x = 31331
r = 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
gcd((2^x)-1,r)
Output: 31331
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host p42.ipnet.wave.co.nz. (203.96.208.42)
Time: Fri Jul 16 06:14:14 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.290s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host mpiat4223.ag4.mpi-sb.mpg.de. (139.19.40.93)
Time: Fri Jul 16 15:01:35 2004
Input: S4 := Sym({ 0..3 });
S4;
g := S4!(1,2,3);
g;
Z3 := ncl;
Z3;
Output:
Errors (if any) and Timing Info: *** unexpected character: S4:=Sym({0..3});
^-------------
*** unexpected character: g:=S4!(1,2,3);
^------------
*** unexpected character: Z3:=ncl;
^-----------
Timing:
real 0m0.081s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host bzq-218-125-6.red.bezeqint.net. (81.218.125.6)
Time: Sat Jul 17 16:36:28 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 21:58:24 2004
Input: gcd(2^33-1,161)
Output: 161
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 21:58:32 2004
Input: gcd(2^11-1,161)
Output: 23
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 21:58:39 2004
Input: gcd(2^3-1,161)
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-67-180-30-179.client.comcast.net. (67.180.30.179)
Time: Sat Jul 17 22:42:00 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:54:22 2004
Input: ((2^871574)-1)/6972593
Output: 1185895778758339648142987762535643492679865953614424466426705759483774919337867727381041784985476757891387359723647376025505563838382426627731380948973073430414462972774869342542251710190768162421343213966237012120883319075574622520616464505259217928738143297956419894492284805317851566466562393689929753807794351199613445105808424773755761311260389278319304463706181083041928336616682983529658179502829883439451141534134169097650388491858132199403413892586585662815828484787759294922896479111673797976556473582601969089741416774864509727704589352127427952177394145006515531571586801987322812706376142607754607116269124719323133071659408745712365741897797984062199356241140826414067470129448396296827050976365713706626340291229793045564727438777284091425076242973632759323106321941481509215120261605542799138291436441350327917627291039965173107894642244637686087056645069553766812448138447661036704771426638711874277740115462363646341869936027942563413489577050602314272157164486947504119307525922690639241909863594724133387500295192692814208284650768499930456952243803629711330417160152336309683940671593857814114552130103932278087491682165974182326156668721097066758127316173092580514332681566473492085537366097566445746302833511694315225812604445362703130819133049017264823939432670715466659032465105401630608213019134522480765889795679190295198706394325486330238743247315891918881315297151454522125101424468208773813732528657906869429256496611637998423734870663315415638848025368572928582796964870284172448454136621055281737610086319286641043684360584336003436860631782409961976491865426992022962815526647271500104857029315713038046763929863922606240293231638176578494931409633994132935048826758665509126498595310679485930888903765969928596023732546874734192438683978879439205578761142732816868205644099265699922205747620475028075937894751181231381136411023675488936759556087443366614751527704644903944360129429308958178462316318025156454955696640943602059941250790045414220107570100942386834588628189234499578136917024558946390052692614092144161637185548456734234577024164277199917726138952909215955014284115086785542095679345871526245409235606197836294242395440729058042153796314931734976223153172048855098296039587346870425792944702332273349512380925529521163576353786705421149749439751756535945929811971726862125444560143398948770852685782609881625631799859482221385052024488873506870077961043005511837347361499811605052170399308293489548304880610723150915959022385595203979631970683905061019149239625116021296249013948610847473030937686892790491400759002494497915285409193094791189405564550242583751001382309112932942794548401468568340984073636209972820837139128448612519248345211771815859842687820530200500060487302807771732199523353395105969759800823468366553605668592687285833214252504093141435571486696601756093631052093696008551022921970428130143428373348117246050950845722085992265462359739851996994702764847218723206119459291781100045273731141709907182410947609482197836576696132404895369300457039776578967831195041537900762827443970000167919145322983850873323279459052629275277998774370898139828864920211846733589917060639517212341424476775578583726059603505138094924600929470927681872176421834432158907492422533670072532112663142297984872001057170955212604178290498559153394286451519194136173487222551540347076968795706613403553875038587313904346172141873624022477719335280394650808891587764256931398055576368424476471617413124879415417597992068204453232209982600785958363768885315249850302903331815615563915437849646354986915792115511548647268129297653658196981026308541576723505108288087571644600129581811058427734305340397980963275882318813855841949201612117606708703493285239849963010572191693140272853163307609967663023335184660561548017112201429670198699854810811989441576477688057164630732827228163026101266235098422695835650261333935341352579188466003789076117298363771215226306386089640283174266252182312076275102492307220661899209623452325781978424873080910847183536069975641108733934243298052007549849702080027905197769157465210020772860056483183909280217301456461107378968123595353793604069808863759239517467848416997137691540872212282811874780593899273069996549832828632864670273178016082893142451204472924715935869415852945642657078626869347992312913996009001045743828389168834916951512589978184615831057009874316780927484588858042886542008871356255845091282518279210724744812602619545185141640927192206087811015285015169862738570400112891318570306671891098081661200809878855459666142297300805928026272371867756650434414255182251530663745004672437099340317869153271376954504533801605666364844373303877432739954383423057756492501356505899133749887820951070247764939884860231547871858366230801180986143750785388753655040962517808733386101275917699875966220539943741432846324075555167744614603194781120587692070191689444210048039372540102672184442321134229400451598387173216389592652921842797624423529366218315922725518506746495358063094755310991197540638509779254401082225679761013224487592565888142138769626766416978054156620768589645828860353636882832199839982680715825333605025113858714492347285480037074179808275174306332548020932847512106306342893746055828526460470171073401587892597727090597200323080018652174754469888501140092917589691460788429970941149233767003961712139499875754837139964600046923761566445915869934783550260410016279939712712658009152800832424447242223963082965900790655252250593333522653176629263990491452715924551819733547588677220447537400425942095841065745018006753192215966280762112736862672218796685922494428960059753213069771210952921475185130088287601019342313302748289167522590404534521169154353135670036100038504796816699731954317983298114818263960266574565089365640047889042223094539339564407007311310086555346029379796148307837632434510521618212594300909639488392033042615352479393498079487969965437927678467425833346464068798814807153109706327334435539158972842047789738415207863863871690297544655213466221430181645706122994230137995929434278168513450020602720657666730530068686550526779156821949561440135845847577927720910470640496011694678367891299139697369270520933876981013015078557187836935123796760554303431835799893439505382240143942706491762394074591594071315754487319331177684638075504913837631831492459963792011373694995167911921872735093639741968342945205889905727810479023887952981658122654116429520595654126968552923145255144083474778354224845806735023894722622563484149041458599015926953991092211533665583353271206384306618593176383522497282575413848712209281697975427085071265587844618564089113901401408482502025748810745088093011898287480008057134527601075380346433450703136115571726112260807333043630642978689280545982690156464144009913606206016078189669219711167729209884442228379510497208318844824814702333771535323319623961632680038416217716016511979059283594440719967368331372507752710985759737803712787157362923507931492546224092583460562514190872249644935742993164637151704950025614258221984843845335975640170618019335523963528813739108669749823946947378833540308449783102337416714776041086553363590184769161385642317645878497921175413616824309652070296445920630775383067329972391652914854699809311200138885909683193282049770674995300510571179989387809629690821966270747656066058195261115441170311760384144258880573539548819464143201228368612307872191511582803696406784756023145004218185612710357896179317139073551128281746968475204904706334997550905963827574304262379644424327074935939511898247837139651985733339080616536889824844855190690978170270288282804210194398638529754556716466785777521172419712271893345112531947282750245254329445455594743024012624693087825320676458788359886684404259064196402876819111127350159384548318909093204801510428340447194100856586996256672795523966027494834931713595644129674735527694194710789508802377387968365007141266373949650565193208168052057133002914027707491971051328796821201482502485433745478765340484909293764555897890168172280118103299838021816074435246726529059270234589197158467415080638011923499148406454698301950237668216154229872494409792357292989461181657750176575457736776712877434552150552822362348764265975804323525639334406208644278580108463030043477410610200681493890335983731128303077109757110761464735985164843303687312794767680030508065748653073199509625502206038826273408698650946455861120265396408236116851843240097286172929938357367972404967217691847729963996244990152153277941534590748647968909091934480748043192787316587023419356220996910425318389985661631421608828559144704988835196716367891809487758957858723777760504354475974349536266391688942521962777990424074308262881166664382100947078629366308581118251922118472137742812607206604085838564241488455130865447224936089849695691718988037786321569919581636354154052882066843158118048182329022191361028894343770642962201147762115441025676586708067343790637613938568811993331242247279370913383813551923018980002331817965826420177428409215847644616802929302441280212045708951693013129453849232244700423212889094223313080439385442163350921802351077280350545468307304464987261999997598937013981657758135534801465390569881389309823756009499868126710268961112212095634005723719561410117039614536741186606894679027502622524437373084343888925960636957667932845793779481500398923314952512050226470058724347008896534096360360841291306003286915472034856403530805066229021481645950414336960196705067414500391259221690358236774822770021005892029635789454863131162570908532618729005196128698003875003596218375558241300702625358060432477103502848782583421359065873776970532681272751025024807931627063634765803614131884886165634279710673514934330325694447102415269486058811929913954178527213673709859735395387400900438222623229437684845347312634580115023801757851593020871797735882892558936604235449305496725412779537010016681185885642854061448272068289251174901892716806742685922505872455096125799473035863170598185963377899807757735187585926764660518420083828932533544360603012667655229921922144754218037015
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m18.446s
user 0m18.340s
sys 0m0.110s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:13 2004
Input: ((2^7619)-1)/137143
Output: 35280681359764896510458680246003532732373390477787045391167659122456611388809821931449565470190591560336969294142122271461768039828336782153294251903294231970466763072163347266781843081252405728263584639589070014523487318084623314077181147430740641093403810882266681154118815400401927979766582754527007804635963072632169375239652043665533518052210091684873042252379512468160809705093087229038146276817861039451186567563690862204732061174593930841462133570621477821066253193190974399663955735954742783166676316362223454327349730027684927325391375923154192134140634440688680001946510849447201223056885583038349529996026008187805410197208414313989696310447319800010729739927646904503348917709327713808895027363492921596567918964034702031354699136222590922429890460090234136993833633257772185721723884258924754233517364902701095921094989985447342181826495145266115301289184871037036460615084368934153353713999876707204451145834115709708062334858064818187162320962430962392023525936218044510537441178512839848079128083895084231727781093169665324425263116565019178294274476883697995121724942568065066047224022595500001421280206954239870490641357438706189679987466157219145641602284567608544992740692093229308835534234800200694394416853790479262336685861290430247291848606775762602659331057080242992959505458286880365122067050061724062898902477326923994404922021309795254584344878693681461044487033424830076776275746376559290804470744779834627994136250045494120802302243470089958554606189715764400546930461078356278721813292817015976209759977199628100939003525065175475794446145899953932464347904932404484785016962325232419785652778000241669495052314270708743010141915022828044563545281212589932639945521949836739011010452420175277912834819082731226474759171638716845152987310245476988541395856885451128084444493721998988719057706818071976106120585588439903021227631342599839161815252902078585418855376114325342921559342692135194142062781242581890139245461599147701951398337136876272806142884275687726662970167751214375770363304641706549611242430783130231417730766688686046049308887692416605102402991650244534797984695887211694244030437778202741825846473505863797867056211361003285908551686272513736834257790918167890169989234474143443131029235407718819801372377594609494660746919076105295183413772287/137143
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.080s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:24 2004
Input: gcd((2^7619)-1)/137143
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd((2^7619)-1)/137143
^--------
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:38 2004
Input: gcd((2^7619)-1,137143)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:57:51 2004
Input: gcd((2^22857)-1,137143)
Output: 137143
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:58:03 2004
Input: gcd((2^1203)-1,137143)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:58:11 2004
Input: gcd((2^401)-1,137143)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 22:58:27 2004
Input: gcd((2^57)-1,137143)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:02:57 2004
Input: gcd((2^43)-1,135607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:05 2004
Input: gcd((2^989)-1,135607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:19 2004
Input: gcd((2^989)-1,20257)
Output: 20257
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:30 2004
Input: gcd((2^23)-1,20257)
Output: 47
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:03:39 2004
Input: gcd((2^43)-1,20257)
Output: 431
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:09:43 2004
Input: gcd((2^571)-1,90794862316027093768853899468313)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:09:50 2004
Input: gcd((2^1142)-1,90794862316027093768853899468313)
Output: 90794862316027093768853899468313
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:11:00 2004
Input: gcd((2^29)-1,1103)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 17 23:11:25 2004
Input: gcd((2^29)-1,1103)
((2^29)-1)/1103
Output: 1103
486737
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:18:35 2004
Input:
((2^37)-1)/1073
Output: 137438953471/1073
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:18:56 2004
Input: ((2^1072)-1)/1073
Output: 50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373695/1073
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:19:13 2004
Input: ((2^1073)-1)/1073
Output: 101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747391/1073
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:19:19 2004
Input: ((2^1072)-1)/1073
Output: 50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373695/1073
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:24:24 2004
Input: ((2^1072)-1)/245969
Output: 50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373695/245969
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:24:29 2004
Input: ((2^1073)-1)/245969
Output: 411438541660352764682735114422787642039355873634771288977272253876363158706982072724531106971685709368227455216545198605088057310851760743969795787153540710255189524445288555396141196130596165250986440727231368726469610974197343361598622907051619424278689705841709259200007754260151690928910406410250898006065210943439
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 18 01:27:52 2004
Input: ((2^2520)-1)/1344048385417946013983516746242551864720220367077696473507281
Output: 293206888827590069605631074487478472646543881426786272265669645751661331081561829038993925210057031228497002629146128479889200357764403143495385833163393171594326714199160684645353708631661055305081430858726889482773953637285610787962010891931663099449362038687838314858978644469974173242794661534630819682560581544979900109616881912703101448816987326326009160240622700947208351982739173148068682564504747464472549534721966258452136774217920329251733197133732674169760314925641580969247838385026626906645583096774192730697432516872543057355585559647247058278995826392114333199485006586361979719301540652877141437280709807028269074647562078229925015304962768188200858660143960948550944926390566202575
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:30:59 2004
Input: factor(3213162276640339413566047915418064969550383692549981333701)
Output:
[3213162276640339413566047915418064969550383692549981333701 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:31:06 2004
Input: factor(167560816514084819488737767976263150405095191554732902607)
Output:
[167560816514084819488737767976263150405095191554732902607 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:31:14 2004
Input: factor(69787377067722881486602094502761253930262932578924438539)
Output:
[69787377067722881486602094502761253930262932578924438539 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 01:31:21 2004
Input: factor(7523020307427066273763456609903850552762967576510974081)
Output:
[7523020307427066273763456609903850552762967576510974081 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 12:11:19 2004
Input: factor(67280421310720)
Output:
[2 8]
[5 1]
[47 1]
[373 1]
[2998279 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host pro.ja-hokkaidoukouseiren.or.jp. (218.217.241.246)
Time: Sun Jul 18 12:11:39 2004
Input: factor(67280421310721)
Output:
[67280421310721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (143.248.25.216)
Time: Sun Jul 18 16:56:07 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:33:32 2004
Input: 92022758413038778301733254635923164484149497090828532148684360773908398072382302364998101104941420139842819685238/2
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:33:45 2004
Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/3
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/3
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:36:37 2004
Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/17
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/17
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:36:43 2004
Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/19
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/19
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:36:47 2004
Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/233
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/233
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:37:04 2004
Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/304807
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/304807
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 18 23:37:11 2004
Input: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/708403
Output: 46011379206519389150866627317961582242074748545414266074342180386954199036191151182499050552470710069921409842619/708403
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 00:18:20 2004
Input: x := (2^23)-1;
for i:= 3000000 to 4000000 do
b:= i*i;
if b mod x eq 1 then
print(i);
end if;
end for;
Output: ifbmodxeq1then
i
Errors (if any) and Timing Info: *** unexpected character: x:=(2^23)-1;
^----------
*** unexpected character: fori:=3000000to4000000do
^-------------------
*** unexpected character: b:=i*i;
^-----
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 01:46:34 2004
Input: gcd((2^3360-1),51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561)
Output: 51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 01:47:02 2004
Input: gcd((2^3360-1),51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561)
((2^3360)-1)/51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
Output: 51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
56650596775711361663354778006371684767118108846937489896129567657129127072546128398065863090027556015334703342515735430800028821388235832706835534015783960560090799116859240672227059622594036670831635186536714564173897267241097323806328314747092856326809286933562391744848910749922782122506280819632950221230431966371916007101882724028866220764888357046735600869530353115266244202223191434409423981480509338487871439066108070603489768932215507452981779864140493657761082338673358067323956060294000759601641777547469831267146059439049829108743236897032984063584273787944183823833543848211713896623948509773598379861104407255022381446775202510738549672567042955487048203749436894140533679058361549193478224825081193578228457430432584462064142670814296860906245808334978211743545725765691811662574445594703914998238975
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 01:50:35 2004
Input: gcd((2^3360-1),((2^3360)-1)/51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561)
Output: 56650596775711361663354778006371684767118108846937489896129567657129127072546128398065863090027556015334703342515735430800028821388235832706835534015783960560090799116859240672227059622594036670831635186536714564173897267241097323806328314747092856326809286933562391744848910749922782122506280819632950221230431966371916007101882724028866220764888357046735600869530353115266244202223191434409423981480509338487871439066108070603489768932215507452981779864140493657761082338673358067323956060294000759601641777547469831267146059439049829108743236897032984063584273787944183823833543848211713896623948509773598379861104407255022381446775202510738549672567042955487048203749436894140533679058361549193478224825081193578228457430432584462064142670814296860906245808334978211743545725765691811662574445594703914998238975
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:27:58 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1980
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1980
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:08 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1320
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1320
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:24 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=990
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
990
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:34 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=792
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
792
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:42 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=660
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
660
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:51 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=495
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
495
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:28:59 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=440
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
440
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:07 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=396
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
396
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:16 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=360
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
360
1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:22 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=330
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
330
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:31 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=264
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
264
1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:40 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=220
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
220
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:51 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=198
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
198
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:29:57 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=180
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
180
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:14 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=165
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
165
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:18 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=132
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
132
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:29 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=120
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:38 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1981
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1981
1
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.050s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:44 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1979
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1979
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:30:51 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=3960
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
3960
363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:00 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=110
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
110
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:04 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=111
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
111
1
Errors (if any) and Timing Info:
Timing:
real 0m0.084s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:12 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=109
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
109
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:18 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=99
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
99
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:24 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=90
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
90
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:44 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=88
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
88
1
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:53 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=72
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
72
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:31:58 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=66
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
66
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.070s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:33:32 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1321
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1321
1
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:33:41 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1319
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1319
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:33:49 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1981
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1981
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:17 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=283
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
283
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:30 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=991
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
991
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:50 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=793
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
793
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:55 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=13
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
13
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:34:59 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=61
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
61
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:36:07 2004
Input: (2^1981)-1
Output: 218988551192141442152563705668960949711288013856638946624306247105744602468942702075321099532414678558053200652883045725526260177776919428143678923829393994405994394579529342652680929466705407851083616237761471261561613967221047141928323795395786960546312325588536069505585917674299834536621406978550591814697587793320576678471335382095172994424695542336328511651433231030506149544212877830050025717386639783850472294096034583775337299651819578650552538745693382111654201094798416212387241281922589459906349993865444212967584202612747296350317527358784914351340348817487416783939295680546159460351
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:37:47 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=1321
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1321
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:37:59 2004
Input: a=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
b=991
gcd((2^b)-1,a)
Output: 363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
991
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:40:44 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525*2
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1050
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:40:57 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
12600
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:11 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
7560
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:17 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
5400
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:23 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
4200
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:29 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=105
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
2520
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:41 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
1800
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:41:48 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=63
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
63
1512
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:18 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=45
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
45
1080
1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:31 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=35
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
35
840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:37 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=25
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
25
600
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:45 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=21
b=b*24
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
504
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:42:58 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=21
b=b+1
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
22
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:03 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
b=b+1
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
526
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:09 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
b=b+1
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
316
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:15 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
b=b+1
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
226
1
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:43:22 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
b=b+1
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
176
1
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:44:26 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:44:36 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7351
gcd((2^b)-1,a)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7351
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:48:31 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1188
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:48:40 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=297
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:48:57 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=792
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
792
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:08 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=793
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
793
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:27 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1188
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:35 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=27
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
27
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:49:47 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=67
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
67
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:50:06 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=199
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
199
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 02:50:12 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=198
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
198
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:10:27 2004
Input: (2^297)-1
Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:11:48 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=279
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
279
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:12:24 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=279
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
279
1
971334446112864535459730953411759453321203419526069760625906204869452142602604249087/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:12:56 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=279
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
279
1
971334446112864535459730953411759453321203419526069760625906204869452142602604249087/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/971334446112864535459730953411759453321203419526069760625906204869452142602604249087
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:14:06 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1188
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:15:04 2004
Input: (2^1188)-1
Output: 4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:15:32 2004
Input: (2^233)-1
Output: 13803492693581127574869511724554050904902217944340773110325048447598591
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:16:32 2004
Input: (2^1103)-1
Output: 108663882323950867942188114268741342288279507754539563979881573578225047420339347897643136665660484738388626103630779067800309804345879439769244386742405029775086107995251122654262913153317445846134697284209785412102387486177039652426842288257624643046206077858561591880759072032552928984673183003497469267739721191590324421953323007
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:17:06 2004
Input: (2^223)-1
Output: 13479973333575319897333507543509815336818572211270286240551805124607
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:23:58 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2376
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
1/80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:25:11 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2376
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
lcm(a,80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
1/80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
17671348738072999365378242379777979650327151982643206406598229082637492497597870869484998595840660411558830918943594153864651280225817911466986219738641172464790753042368871911665527067473919280979786109519368557377696487642104273808425978969245486911996799784499266793635019822583201320019175427907824706913963473207568174810999823828916137254643135734927489775728234186510525101607495289435609414429176574093004089695606337775248326380706115154035712932554485516202796076289274295920311831040207431939592317269633502394384094006420855386743561434540715539957418082953074305536417313421025201627395029424154776916508771526058854113677962789725411281059111147139617048230425027800806266067342042164569934781151707135
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:28:24 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=792*8
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
6336
1
211861736197293416848243766755922279101441967315979797700064010856915847158782645406332588525545597831315145130285165618362095229677275613881162157437530351473333927312903133594050758675851615522915918223791753973225241778222308005426812218308244151051984155938718382630269311964118762403865868956939784399862147504913609763105589670672083499342157358371031723419663903243003679292036665715831481187932222853261267528646065823047939146630091077430249861907659744421363875143406933520304838642222445936927434039676117872062883243741849793303801422899998180787914859007076083739168074493062295097043096971408419734376711015898929652061819687849371855946064302291032185414456587593342947079747076669047303918272127317455356489683521682325441540139804413599339822344394772781604099792052126665762370089841412511312999961736437166209881585937254467465791760796636043992507766233218527027474134031660411754237200434935260593667990937876086648838457733494356932371021417929970418835946575972078579642545165660615624625540027476565798936918699771511124249357661815725187247171247677929595488955032426583437434635365600849896569661798673604265813129119696926506610421654238200538468127767868382710724856087034692739510841067645580528406732619847356044872815872637087981172001457900362355285558566313116307014243961769369646003766932885641169466771443381542490150878509128620975002173704485883507867968911147713373596729704849332062237548151479821512654295394791572394188746899407461774429416415584880220213570596201288801911765556685748065148612114324377638576118464864381938870910861211751516652260650710561233608746474691065174990298462589253948147568293917068201574674625946340361764993600351317132166611865302978384137457807842041672558031849881688002314562743898056436467292078383198448581008762362027224279720791793912117759098441231052402558649129117807259664633051903931964606043938849677350309071729234804735/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/211861736197293416848243766755922279101441967315979797700064010856915847158782645406332588525545597831315145130285165618362095229677275613881162157437530351473333927312903133594050758675851615522915918223791753973225241778222308005426812218308244151051984155938718382630269311964118762403865868956939784399862147504913609763105589670672083499342157358371031723419663903243003679292036665715831481187932222853261267528646065823047939146630091077430249861907659744421363875143406933520304838642222445936927434039676117872062883243741849793303801422899998180787914859007076083739168074493062295097043096971408419734376711015898929652061819687849371855946064302291032185414456587593342947079747076669047303918272127317455356489683521682325441540139804413599339822344394772781604099792052126665762370089841412511312999961736437166209881585937254467465791760796636043992507766233218527027474134031660411754237200434935260593667990937876086648838457733494356932371021417929970418835946575972078579642545165660615624625540027476565798936918699771511124249357661815725187247171247677929595488955032426583437434635365600849896569661798673604265813129119696926506610421654238200538468127767868382710724856087034692739510841067645580528406732619847356044872815872637087981172001457900362355285558566313116307014243961769369646003766932885641169466771443381542490150878509128620975002173704485883507867968911147713373596729704849332062237548151479821512654295394791572394188746899407461774429416415584880220213570596201288801911765556685748065148612114324377638576118464864381938870910861211751516652260650710561233608746474691065174990298462589253948147568293917068201574674625946340361764993600351317132166611865302978384137457807842041672558031849881688002314562743898056436467292078383198448581008762362027224279720791793912117759098441231052402558649129117807259664633051903931964606043938849677350309071729234804735
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:29:19 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*3
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
3564
1
74285584768832567944058139278324698099483371536775690289489060375256624329704052207327678731607935690311590105318431802551741521404562543929336396831590585610560071512345696701255430374100294171869425697722866436564288844571096507804513252982598838661643674320328529631668765052721600561334430197107210606505869136457388633450956629367100204032698069473357356775353889447596052053686576113808468998935479837091672155947530031595799066979453481443815374402858478148385566259805913474957680564716174904462323714311540033032368601172449334975647749408025648792110608108000796389224213259384831048397237310779653221943910282479927927108478947675375177904072136628179899767271382878112405759959755250285610556874648109199845843877010216541998820350952527699454068921282360311052873734772331747193118854270197267561062767561853200816252977501931887681228769755396181629217696636225933810266478814182941014109890915996352294869430119158181207923371462970417386425924055897620187131831135496995058616748625724690753470899219972414535863171472128395903883354083426201977544419311615/218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/74285584768832567944058139278324698099483371536775690289489060375256624329704052207327678731607935690311590105318431802551741521404562543929336396831590585610560071512345696701255430374100294171869425697722866436564288844571096507804513252982598838661643674320328529631668765052721600561334430197107210606505869136457388633450956629367100204032698069473357356775353889447596052053686576113808468998935479837091672155947530031595799066979453481443815374402858478148385566259805913474957680564716174904462323714311540033032368601172449334975647749408025648792110608108000796389224213259384831048397237310779653221943910282479927927108478947675375177904072136628179899767271382878112405759959755250285610556874648109199845843877010216541998820350952527699454068921282360311052873734772331747193118854270197267561062767561853200816252977501931887681228769755396181629217696636225933810266478814182941014109890915996352294869430119158181207923371462970417386425924055897620187131831135496995058616748625724690753470899219972414535863171472128395903883354083426201977544419311615
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:29:26 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*2
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
1/80854587068802937589182775793707831439166217465511051124188024516489703780355311503236538321058339630164119153143616302593562303583907131847880458007530517316860756396351053774537264279708905229484521830393960233225767423788800549693416378735173420061480257000199278375577517671694209403966794343239857673309613512261309924115640507899912745044411559098981584791052504779848780863956383779152123318153109249719051308591365030276646611724709501554748903518623347404318760461444392126462301647066939315850012839612758676255
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:29:50 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*297
gcd((2^b)-1,a)
((2^b)-1)/a
a/((2^b)-1)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
352836
1
165786856325068960596130063961524398130555122186367373600322903542777116846648791665218893564012399818986410968847912392512704602341253861506676828076983094831957785330796118011897797133845710047650225783542556968159060088563753348046731329387505153875143823975330344381233388053358852527192346930882367616328514492460686271546843680221395357997274862351594885802879111435979228360738796212231393604905884716107650281514808098647858278588855869469071303833229152916042530174990861471187285795626313310041223278453137632491563514435835883169119249770732543779096849486999603647080725564554629697933524363589479715829939295594103384801747855075222306955692763916626385462392087538808613519050879333423409622701693149914021994539975991452631726737905888328109588968309275072456453178277271471975064963032234833973363948777368255727911017668114208666152919993138443110223880816492165539429095815840590462541095527969808451178883100575631961683787892901967726546373167928125889480061549209063976301486001425595515027651902181327072818918317407286646262117315278983492778825719837800920618342642079122260255230652192436995734844868666083416837863023866041516427225296019503731773599610448612516166441126718772629662313175598572134894308484576461614130249027371322322852231562290944963940192108181676661872501935123778442788448115579182249511005750457973245990635242077422064941171870199624289934703042657945008537894568994487242191267259826802315316308489054553856308372669945223893657915870908452087046931771046563309845626344472814204576293855231555931228125861489580090328554558311748819763779883318256949416472756625212483743316416980270824367489369157522511013057483292460022567019391915933280432947244733840033690109288061448747974730478979393848937978313833676320214718921934319785630696943584700829339862019079327617144852634939329022172009414188020533663697650149823999527854499019085516685755726410278977931767360901704713705415701739622246712009411464074919365072311517245755429801107250439508532111185520397851192312811095403184127984743722789450122644261208417179891077474843568609591314120511788519765831593443726649164818343550277541523517980188652111579555829838605684768002595307863929134032075316063522459345799795301056177006571005619040815289052295730967780237180756159829122708133362068304522632653783455707860089469950146749576907781949201887160993779770166476283129389499416966697556049093636952698990900119514400874209341373066440495548793998573507356467417240845449524436118818851281586150777130199897803091322056596851880648943130231793881730620387067583909033089888400376261836523453321174702122152187157325941211775546190024089725169938820233540804929248847668137434496738187997804163791037952367694678411239980380467689057577914412322851972374048798532980587174088347937769180226812405853332959988825383638063433706856766648169131744782956823176370823751070412766400336382929956160577372026916287669639432647905345604035780036138139131146895360399235060272632456413839307257821003928987510445467154862360943255776070017382868366154237664316319344345080602527239901068350604166740481172161775205860194982469226377627760915331785919990270358944842093077629676981554871751260186167639396295973504012150157641985039636140705353291868068875925040262631081136809329566960041679069380436055117162528024230195133722878582013794254894510890425973929367145457746339256341197287888130761371916545867658313225411855684781903054956858265564114525557024399557122679165588370943188117046028420450569812860291458502083353587618785395103543661182692683153046821769900027936589048121841213696021512201017316057229161349557012342661301097554340490123272599116654885548562220222254550944387774824456858762389791812841405267697819287175918653316318846136871321922812619111647351997501837207767447822895223149206038911640748580708446366963927430523937166518718535537705935963511934979985949186994490559846916636320196841053025292906418301485782423832279357244788299728029043378852683026446602598511974762573728427446832655215711983934332443367100720424468014249830709164475160286478620766630006539530122076090762932492828224866879219051145104545225552332956702721118891609961508894803280833267683620317434162406761856170115137961830010480533758129282492897792325347452327303891107057144247507569113200241348972766125757698400613282946738946441105676918777619048980701582010830346977199213357660906462841087440676579023460427651087493082130109964036860678061565079685088404167790324061813314066730628368193597115453351559561036240367460497949518393622363376430534020134752506730157537099547040578136909135945936416630273110949885739421083018229908101683024949752103506586754312853587062849648795793399407052921131685246512333509426988045020917003127950084336977593877682671583215256734413990650949884884630292963048000211146133055630652090582941417143155829182453993815651776257003683444906200423941835879369703775428719392833637874475698993682931170269639396915645805812308009772396160069204454463061265129783402538467175647092200473842451051532853637083071588115707062981594050857893288714838263620309158596686094643331250063081549517414540683199489775676237216269121144925397664289317658894682807185977559421849179732611255800979196821896936298509729970299660827551325391557556018573101077214120900319707236429569679652054222201052901050588979950102359477276979965139851616494654236146348621239308419898642213339344578899079856222340535769949900220129301436441716566377937249246337128736126682357722482902335392441184351635437196657057954054433630038198875711027756751724810719381680348010011756192964312215071040890329813338994701863304380761321606146968559531127888734040710484527017708883008588998341119898478917792282315929294805373257319034467975101060038023562086798754337057900666876399742900857069808212804782733519463215292911748879004375812797404494739919869740158882722600021005967609858319889831346638747172430666820537980502852405773025199617199911308892470775146107587384765874727963040783540610120935418910988170675996582834434435393621389713301544387989859014257838443334818157356654041979933413216179216103662556989642831495556001726309522247318385806708678482150547841423032745298758894006056998533155053642407248785146240359122307462855037148947114094440073169448871187726317397829579499425568157839809254319215500934339437284734871967595931595747871077190886149310753882291077428060250148646774493754625148042014135633486611533486789673722246073246792600133726558236715760821974524226125464948515763855614893207180241135549098898285180214575787249317632173202549279493801799688641573954284445228620975486417639861685953947204754105535791770939586817165032161661891760232184775620952381727709500483279676491669041281321524322269716910291281290244459893332234606565084302406211424478340997227536105039751435723776527859363699668676081238625512007361908138160272291676768798447512942551230538370113021799006287892529582863413778243187810139248503297495868543044416470221080540145525718034312741840054758128886972991188902916682539565222918072147544669546834208633847785041698825046657927257249627206600115174194474164054031367687048643793265239714992019582902005078258086384939457204638738941551711165906921541196901031357290742530633609787026926550136545503584773032298118848071275452391864230379044211294851684470896791945374034432058049038481236344276213079491917211528179140241478909872140834451706505436456330457463701610029018002111615326952948111923222060157160128180391407911279542604622774621048823922333608993985827930409778115483787821084234982514944908042305835393885919652308789716300384100909161890553414733700958421538126853939562328767075649367571887272753789791213153576177756656216374549545655106741182541250274731454090651336488843070805650852231677445172926274392993746155906122035616319612550576605789021784301662684728866439044792581514342234463337264821250371579086473870112522709256613024961692603753146133342641567722475595627808475530607489808553616917364087042326120634005660031577467579907248039229299047586981623332925773253667467106037309085899594270442321354886300396221105786671089793927940138450117922474686735358669837983606090020645443181079984292814297645324952001607043250908232851683264110886938275376396807954099157770913814130237375970655125801324761309892453303879406112836588684227613379314389516805796891155984382199889200391649910587439212636165993864165524852768501857573855408751959896904728784655837372601653504386383825782601430672990846544695119837550974516986904219616669560640047136808849953815173228554512355662469180645995026475702747438139055560049940307770822204203458072995632193994877670621464251931790901689899332514769096279326825141358124116828101721432735592633526311486872942392399169560435665499311063196473754767072867623155621515415229581652984389577842284973545236243798592291011819687305357099850010555872205790738684062883954629110981831601251725343368517924953877745413776969867090053336502083172047753570848531749249729349919940591726558763473777550674667095798619852988104373347911717484633187337696411056153944064760780476924232635136946090292470548267966073307020965929001193904494840900375258104370269430453411398545630972144507961051364422671415865281872490481353682285329626771490839351762920696711994881927639742408026816571825114996850686202775712144981476898880319091693589427375962391548713034511388132471085304631193695152162233947729273425929798674611397593531418862955493744952964709241478127696631742317348570655914800088583130175549791992799292119690284025213676780378563525228242838747695920253619770598716629480299335442331258635061073729361982050456727548692829914081917375932990693423752220844436027796872121284297229904274592510412912913136033744465376183503375484671054577303907324743
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m5.970s
user 0m5.820s
sys 0m0.120s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:12 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*99
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
117612
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:22 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*54
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
64152
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:35 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*27
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
32076
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:30:41 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1188*3
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
3564
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:31:10 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=297*9*11
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
29403
1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:31:19 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=297*9*11
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
29403
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:32:11 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2377
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2377
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:32:19 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2377*4
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
9508
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 03:32:38 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=22573
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
22573
1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:00:45 2004
Input: ((2^811)-1)/251873
Output: 13656093558537941553315536467397135968552465044102979912491535998492748263050510482475893147384943187441520456895351276433180265787636459684584153195173539934402882722844701815732384329547395122644920353046295760858502651980751792724303620866047/251873
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:00:54 2004
Input: ((2^270)-1)/251873
Output: 1897137590064188545819787018382342682267975428761855001222473056385648716020711423/251873
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:01:02 2004
Input: ((2^273)-1)/251873
Output: 15177100720513508366558296147058741458143803430094840009779784451085189728165691391/251873
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:01:22 2004
Input: ((2^7337)-1)/251873
Output: 18025883986677910238118720344768321632153932452105693710764361743083580548609490457323244407548057986938118283339342163856575644109380193358706318030477914796730974736730823816118519339280354618709299375739710798884179736512621948703227840524183837546747378574033796323117491943311905306679686975018271027086847614362778756402519611449098360773896927111455166485237172978314899898073259533063674423369056652932957809693461174776294353584989063209949967746938353126606226042899279972951876588160909827312754212119171307519469469447007911111568426527959456731257488337924802475977738455448853773837293352520230752266319846250137279618907087657797364430439668207326453935596868992652573236901010407237394683380463313999701636543406798223178939118290501241356997577565994044307901883176025697899743633428364198652349916156179603438484496187186149692938850511170371748458427041433826072238645497774189422901547936236770268543126305756212349010280019537670528003575892799300027412509207839636445594461211936536617785016644038338791794139562032778421345968872566877200017302778147676180473223380924006934386989153100889930546652106126992189724978034024388761131923441968293703607065623997388389201393782019500805709466739936974499725575730106880062029042105655833602420358916499559171263863985936373279677139078689176088279968575583136686692915621317130750175227306546124638326749370872323096520949879554550128955412515292886814700856403777792149184819471545663826045950570126726963979138102612538130897375796509629361977752537275187114509287664171517263810689501707155745688780341355488887271391965153140699612272628210915064333909037537763334066107358277202479321309258398268947521317984019341578539294927248188244966332609593044184761182723436586417690619240243799978085363658753316906908771905277848258242397940136700666524395391298352316579880233996303056791691153634570091242442838939793473520821852045792821449541224774368050870947570307294508625781000936602110903256209816480286823791082800004047198422241093669958646592827384690831724519055047767368294254339261187505753836959542348784543604980318792376186984631898996710457247125943558200552848328553285337823410932198304642323027287965554737028879327
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:01:46 2004
Input: ((2^11)-1)/251873
Output: 89/10951
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:02:15 2004
Input: ((2^23)-1)/251873
Output: 178481/5359
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:02:24 2004
Input: ((2^29)-1)/251873
Output: 2304167/1081
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:12:10 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=811
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
811
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:13:18 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=28593
gcd((2^b)-1,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
28593
1
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:13:31 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=28593
gcd((2^b)-1,a)
gcd(b,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
28593
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:14:06 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2377
gcd((2^b)-1,a)
gcd(b,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2377
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:14:27 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=3383
gcd((2^b)-1,a)
gcd(b,a)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
3383
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:15:00 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=1863
gcd((2^b)-1,a)
gcd(a,b)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1863
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:15:19 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=851
gcd((2^b)-1,a)
gcd(a,b)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
851
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:15:54 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
b=2376
gcd((2^b)-1,a)
gcd(a,b)
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
2376
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:42:16 2004
Input: ((2^12)-1)/315
Output: 13
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:42:40 2004
Input: ((2^12)-1)/315
gcd((2^12)-1,315)
Output: 13
315
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 04:42:52 2004
Input: ((2^12)-1)/315
gcd((2^12)-1,315)
lcm((2^12)-1,315)
Output: 13
315
4095
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:22:10 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:02 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:09 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:27 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.084s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:35 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:43 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=105
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:23:51 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:10 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=63
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
63
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:16 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=45
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
45
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:21 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=35
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
35
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:26 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=25
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
25
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:31 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=15
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
15
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:37 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=9
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
9
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:43 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:49 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=5
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
5
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:24:53 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:25:57 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
((2^1575)-1)/a
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
37810603549825041089261509148761685267249588208299215324775865689000980923426431379484762541882054632285882025769009856222070408822063119558297889092655449084654114152557404388441466446152737902188154634946968948665861677411893573984143767738627552297587432383500450394114968665092837496079883381900315301992797081450672011367
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:28:06 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
7
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:28:38 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3
1
1
7
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:28:58 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:29:24 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
9
1
1
511
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:29:32 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=15
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
15
1
1
32767
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:01 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=21
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
1
1
2097151
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:28 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=25
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
25
1
1
33554431
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:35 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=35
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
35
1
1
34359738367
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:45 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=45
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
45
1
1
35184372088831
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:30:56 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=63
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
63
1
1
9223372036854775807
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:05 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
1
1
37778931862957161709567
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:15 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=105
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:35 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=175
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
175
1
1
47890485652059026823698344598447161988085597568237567
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:46 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=225
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
225
1
1
53919893334301279589334030174039261347274288845081144962207220498431
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:31:54 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=315
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:32:05 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=525
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
525
1
1
109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914431
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:32:32 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:33:11 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=5183
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
5183
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:33:41 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=43873
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
43873
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:34:10 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=39551
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
39551
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:34:38 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=497
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
497
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:36:23 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4207
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4207
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:36:59 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3577
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3577
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:37:27 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=631
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
631
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:37:52 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=71
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
71
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:38:08 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=601
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
601
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:38:29 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=49
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
49
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.088s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:39:04 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=151
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
151
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:39:26 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=73
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
73
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:39:51 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=127
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
127
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:40:12 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=31
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
31
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:41:04 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:42:06 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
b=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:42:26 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:42:51 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*2
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
210
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:43:07 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
105
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:43:35 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=127
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
127
13335
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:43:44 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=75
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
75
13335
1
1
37778931862957161709567
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:45:16 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=4201
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4201
13335
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:45:42 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=497
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
497
13335
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:46:13 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=8
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
8
13335
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:46:23 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7
13335
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:46:31 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
9
13335
1
1
511
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:47:00 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21*25*35
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: ** WARNING: Computation used more memory than allowed. **
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
260465625
13335
1
Errors (if any) and Timing Info: *** the PARI stack overflows !
current stack size: 64.0 Mbytes
[hint] you can increase GP stack with allocatemem()
*** the PARI stack overflows !
current stack size: 64.0 Mbytes
[hint] you can increase GP stack with allocatemem()
Timing:
real 0m0.387s
user 0m0.250s
sys 0m0.130s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:47:15 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21*25
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7441875
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567
Errors (if any) and Timing Info:
Timing:
real 0m0.416s
user 0m0.390s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:02 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
297675
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:10 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15*21
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
297675
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:16 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9*15
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
14175
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:24 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
945
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:32 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*15
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1575
13335
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
1325083269986332792640233459041040072316504553322131613475627395324518772058759696453356223588406128212390944991739075891527743829944252351414710781026268306957560332972419738076052239487918825120804630555960054018062519909900968481680304878619257032621712754048313209832605038929655772801571475830438644578768656611499646644796802668039467698514398450501731672593838579928954682966167172962980412394105204951454455951509952795996480439439771450960285859094231455245499629567
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:48:42 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*15
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
315
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:13 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
21
13335
1
1
2097151
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:19 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*21
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
441
13335
1
1
9223372036854775807
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:30 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*21*9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3969
13335
1
1
9223372036854775807
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:36 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*7*21*9*2
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
7938
13335
1
1
9223372036854775807
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:44 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*21*9*2
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
39690
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:49:59 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*21*9
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
19845
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:04 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*21*9*11
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
218295
13335
1
1
66749594872528440074844428317798503581334516323645399060845050244444366430645017188217565216767
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:18 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1155
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:24 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
15015
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:31 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
255255
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:38 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
4849845
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m0.287s
user 0m0.250s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:50:49 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19*23
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
111546435
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m5.564s
user 0m5.360s
sys 0m0.200s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:51:05 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19*23*29
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
3234846615
13335
1
Errors (if any) and Timing Info: *** impossible assignment I-->S
*** impossible assignment I-->S
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 05:51:31 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=3*5*7*11*13*17*19*29
c=13335
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
140645505
13335
1
1
40564819207303340847894502572031
Errors (if any) and Timing Info:
Timing:
real 0m6.976s
user 0m6.780s
sys 0m0.180s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:02:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:02:47 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1575)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
7
1
1
127
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:03:19 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:03:51 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:04:19 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:29:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.126s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
891
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.086s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:43 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
33
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
231
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:30:59 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2079
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1155
1
1
46768052394588893382517914646921056628989841375231
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*4
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
924
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
693
1
1
633825300114114700748351602687
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7*2
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
462
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.105s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
231
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.020s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:31:48 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2079
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:32:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*11*9*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:33:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*9*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*7*5
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
385
1
1
36028797018963967
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*7*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
231
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:30 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*7*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
693
1
1
633825300114114700748351602687
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:35:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=11*5*9
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:36:11 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:36:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=165
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
165
1
1
46768052394588893382517914646921056628989841375231
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=135
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
135
1
1
43556142965880123323311949751266331066367
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=270
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
1
1
43556142965880123323311949751266331066367
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=135
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
135
1
1
43556142965880123323311949751266331066367
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:27 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
99
1
1
633825300114114700748351602687
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=55
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
55
1
1
36028797018963967
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
45
1
1
35184372088831
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:37:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=33
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
33
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495+297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
792
1
1
633825300114114700748351602687
Errors (if any) and Timing Info:
Timing:
real 0m0.083s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:11 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+165
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
462
1
1
8589934591
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:30 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+135
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
432
1
1
134217727
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+99
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
396
1
1
633825300114114700748351602687
Errors (if any) and Timing Info:
Timing:
real 0m0.083s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+55
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
352
1
1
2047
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+45
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
342
1
1
511
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:38:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+33
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
330
1
1
46768052394588893382517914646921056628989841375231
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:39:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+23
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
320
1
1
31
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:39:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+27
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
324
1
1
134217727
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:39:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+27
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
324
1
1
134217727
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/324
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297+27
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
324
1
1
134217727
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985215
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.089s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:45 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
165
1
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/46768052394588893382517914646921056628989841375231
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:40:58 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*5*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
825
1
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/223741436863085634409521749481834675708763587282583222886261325799305187541819563744885033326754909183041871165773435313081225474664635755472226765949723278285256830531087594548959384855304521689414375064310509745905707450052637371994990524269330431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:41:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*3*11
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:41:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1/1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485*2
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2970
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1/1440216193530818249802280565999746172651883604876736962348995813438040216009565339423513525669459410985082212851332545157936839526843410065057392743173231355008473573486517212888597315405346791121384577009608549396802605204496069170582986972342043757303568455572568077716357777626531743069658453666912418165800767312879629887353644481536400875516161453488680300395516487313128054577970163689764308020739197769619771403504156140770872975316385329091250895254097968775407724948115817636001705350037224962404272860406323892419016905255085802615182873860741094323520653522486563064264876354960525441667783792886443935956442880653636098270382950024743232142194639939908858111686435231031959462755200524589411309274466390517573372156159260528175108107097367913831233
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485+297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1782
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/272553819949074586335764329998110422759656186860996340445302265125028966092387690224317481804566269064306176556037664118524558990075759082016328514625419716882795708276263122467567105569780144175007953279052649090485357505103672130672696762561233650167948939378773261756571911641591694320973412485707944020790964611660462067503447189864979236486711165777839517909960620368166542340448971757985143063215507670686704671126834213154658267533803927190615815865135496025511405226750855106613371521043158334565319212157986828934686930007752703
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485+297+3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1785
1
1
32767
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/2180430559592596690686114639984883382077249494887970723562418121000231728739101521794539854436530152514449412448301312948196471920606072656130628117003357735062365666210104979740536844558241153400063626232421192723882860040829377045381574100489869201343591515030186094052575293132733554567787299885663552166327716893283696540027577518919833891893689326222716143279684962945332338723591774063881144505724061365493637369014673705237266140270431417524926526921083968204091241814006840852906972168345266676522553697263894631477495440062021631
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:42:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297*3
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
891
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312447
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:43:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297*7
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2079
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/69400242090457110100693816399255108703999253301247146771405023410200766027557964925389104470607975440590563583163679001987206985432648024224160060368429864799229220590172179001145457369728163527753283449295282246601534827428666682239294549215358953323234549516174992581941007929443460344476616426421810028398646976611133177491685720313439703086363258147672746963703793965135237367901115355894623343147309843144751186355588834387150947651329742143193111815155112738347447381957290009052705450189657578370133294008431979917186645261640732467334108194553795878000574776860741971805326272556372590068133934604432234858816196313087
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:43:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
1
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=60
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
60
1
1
32767
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1152921504606846975
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320447
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6169
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6169
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1132513143853976343456941430420636429482132490000409193380144934783211811227259081832854888760284059394515645437326936845845103193738434069755242222161607362713429434644466369105730650084393154303392064750845079455886405020721831004793244116835882802632031414106245011324344460510646551265177647887950512266592279069905771993762737362604176000062199429473923272160328022746821366216882619965958076109619099242314967825798114969863045310981298662205978002594976430521238787444393441392045652224159160346577490367892930739221336223763829398039996168877538734878777901379624726953556490171614835153128179086234076896829337885757855434179828754541589099473853079489128803479421147070588382017669848156082419909315897781348217923830054369661809050387559506717296975405814869535088143152011983300202833115375154338433469312834363205694501665101446941904251164838509617868208200707527180009195404812364025839469920243952987889897853110013925934882308055355196519616607056001404071517968136478527615180926573445158551666305596557849407125877980712680221888491647956181721482315739970857443518430809951045492367501098843138040142528789671316439148762189930746198590973561671475383381028608500165236704010633525119251000119525174427134433480843526635337351002911987708871349375246620535583611528961114108405561300380504540611246863348637908050269409680452136403704538425555260655795844295964444195710511166344267886916398580759623275785453859243710096331600890945586586087612428075729889044575391633796079277354422411139594083731874423374731126263422765208742785544878038583144711111691797355547827796764690017518753347148835397775282446897252906900678026030019427524291930424568908313314320040056449836087022504146564626406933919424676640725378792789367125642358526502697506900406969054901686813169435870110797641388009115266987070044593722121595128182030722203123711
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:44:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6937
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6937
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1758247145601653700887459644316954268131259745163822465117088593771461200795743225576634510614211764722210602762895806604307212657960496826712955418197614403048632248643769692317332183555244741556627288330089394969887118396713436996149744324620996592107770567531712346497072527941360254900022360764684544047170193654964798372928539800290405207949217932043014822468635474804241374286684574837974266464435752958790132686686796262700291599677206827649849766321037892305590422280067034772479705570049715048689098358329948947114342166352512838049579278662369609756623635041690192487757949411070873744495379955468707047478695537623634158219122541408826794825511547474278103595315711059768078316397563602906722632133939361821448820044123686047103930665380097757342042182445362076636748255329132482903854803516108392757487676775957222171373785149136695906320056430772807845978335866099544649927255913397541532214427156944179769125718825707991569736658074198727951128721636030393024586059689072686481029150143003161293827178736619714499163104275774054868151944534104665880516170168504611186481083417683747223156306146824767015139567285608332564291947438586481647598944753583083548336286168396041499344597978336527719914666524606694060133459078029783075077610349701268456946817305492680667547187250079938367764540837368486437751064376168149347020042036961204080311883033463409639138981538198775061711596554659453013254883117715885949796701850068448891769599520590707331607540857362780809153991443558136827411365368423979230517205863836249434940065530291628163303269945243060382979564164866267396488054306576947354375092987762520570993879834047727406873674218503127759625803169084890574605683726780526507757206415971416958764397832195095481536718757132508715255691376089357131996007739722576642356046980263978450614089744109491294832804729506090553256696782430620475725350006661347167748091096685477913778628367357275406728291846488877992833234129082244862169765474582238991156632122357640973252702036600929490910362893199884652754107099826448445727606913236624113136700141104649401916091068917481471
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:45:15 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6991
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6991
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/31673764759027383329427052450749552640451414655541860473359025081084512171146530331778910896082929696585929724803771454177055777133879908601771527559088993473920764814896633983151056333677192226586488043476704943520736412489227082797026922119335931367518429700507834394174959563825746020610111340923725727669493277525270402875364066720876222672189397126459945397501707052770755680514209018058695920496006318474715906669052290057634954116971636903678892460105688612252809802971737665717645391941641440238454597728880746426084027487382496332870948973347175031453436217958120442503323810359712103565110403638050823844714634399804120172990020891358545731142336109860097542956645342182645527588138757478686095545973586529019163777390820232218680063042189951875959289531933583426593926900555161975383226553453002541590780390673502650534960623443341859833319929483021297457065236289400883021314608813320643816352152702207179487978896989229564665738663343236329577744467599978778549807586956578094329653988842525639496332075229682687489920423886480288488975263262197139522239571313654452279866076594331618720348734946913387063673789841792952502743651141046374054301960569356802468882611923512289459883647964170065969858491224662391918483374386151604025536645908599706033021892536315798920045758883850915362611967138009098018767707978419533742530198158625345616357810960450686341362325097017302895030966361610789518535305473890968924240928234617420808340367245907031609098644076550189253112619557751735130469215643214206655810583817779393792011659840897953264744914725072661867032060884666739826128620361539687681327353139136630638807708245484462211157213039629085919370590537185810776252994089351425956944981482195576825778250222031259764460424307813191968969387359802072521610450728318808534119445348790702774886141810218992945609425975751360523752687160904142635834656032875319584223247893026944111071006803780684772280838237142629616516020951084838901915510377841995722674743768374631290183209675217277987478832755655868676261622887212922595883520325613508678352659371641765079655156032348419710993048637800447
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:45:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=14513
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
14513
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/7052239799996652853982163745676520679144171240401180208417057805013873404315155614938247913116557170210793345589541440039390270242265551090880653450863749332681516936656530208037269786262691726697801512995948799033719031174867039607967162361044069065513032210665124330317445483421044508423355539621937826057472201601149820882468784421617880734363260713199611742926409360158199209001420009800877982544963515743019491474095834999910236968787436192330210605473996957129167014005438847881367249145958675884595390689498047742311128128574650057527227647462921741528534125884606863091051495454906449981910952952481111686645104417600466592453121244649139441579354574320575256253292862748793607664343233992593115422462027451154497129807804501896183674500453570308305491345530422536863960627987243535774261760185545197546723919241025745642414826592457254463632489348415706154940023186541229204965219549414087481939516811296373622940599597738102060653755465799424370649053304321910439791320456007923816025532125356404954191177883071699260980897216001683104524384051268691555219659636397953652587883615696321169226291048549274994767043023247880975685625813500355608654475021598084955109025514742940396865840409150622208759078086903694758264901858202675697150555043403431781535924656465556774968265757539272367791315067219722228946855292306147129381873495992267036437618854843502491936479026767944943871652582529611700395750080531518809603411511828775839970103134559705938227269040260155221339957220881034485165243843926719150606886060993567650243873981061938710729776678266472695539762554652079685417285877820672380956487830863081902399891691220167626708780607567194062529727836237482007800669290094548246827864462495375815963151412179693472456183829057803205508505213019726438623607027568996559843240130583058747887895918816791603942408862934996137905612674529279123987521958890224262221928469993184460634913221673276868617013390473119629992227599417876842323235277442963665437365728595854211401108368114416618897997386165715577343959794716974647228955135639455223501715373558578977352665239804624007200106661092725781138307990448747405276630712772375142213615887331639512192005460531314890183877074767781104750240627555105556127691397443086541634064620559271809641774870085411807123835840488199614814817756770999186725433770600837868946881637534281236356569737683793845851372427100269812538114714449619867929528399158361362715840029229346622919977507635391274395522326321667264546408840859479447760105408772326076291528473292601349199329624811471276785615094304759725110291527628402027803710128727795108116418920484796669949057206841563699777123939359371251877716032761330678661434308977995767751400950103698508975700524356814575747758180221992163152839589378667211063750250596324483718474699812832140214801751041474761269291609641125331505628220287044201754366524143242961921548203451710292234923587222721763352849442732387704453729116011258353330727066974593491724999953369322303032668372558263650037082777963926557846138733873334378653487203971534820763699916899553097698638605511781634657444924120184735676691815920175787466692706067905836351914627611116805138351239753190918795904556169981130485997044839729431865431785609246437540935790250281171768118824505276179006941379712996028214408412825508041722840138565783322934712263401050414462541797283158410026415148796559340472232424494601624879864872763715893018340825814654584581719835271089125684472758268178945581392546837626877766208189532451435012422159994978816546730165296270859979299097577912765243258967881590641347901659827758960763622885193177534205396587819140855380323011453490121684275078618366934635026772847544370058112063226225660229655629235199308014133089087915415179070119008983793675122673387118815046000385728722511632976239597388929076221732379398028585306595323342015475710668398881349772944985405476975064240230846154386201044377832225577427341548554831949171740779014017593997582636271095160962711893994668013233218812786139076238440218164624767678368017500866445856471872430177910326116134867736600558650445575026720774225008280052634356352916277866681349362858457657756235448635371931142985917956815122743388619849151950963864551043942618152380247580434497528811235064701510267494028386925013441380954984213276997030383975571534893524280763164580543736797326924900324597482681500206527783152648191
Errors (if any) and Timing Info:
Timing:
real 0m0.082s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:46:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3473
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3473
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/30003708746554094872396484580291034610776965985861201351965318282045994602272463705495500676505858609324422359094686443034711743236289776836253354236852632571421739417309494036829222716254552311371085850483161316640153418612812205846748082703396685629186760232444277257125402216609187588993841449531246435311905809412989061960879195840119146490044779302281219246289008376457506798992935780663373383869018841244699818578777220767005082020532731767055684841623043298447398412860683551729419249970683672390190554020184027354488107185173055378717682086797461432121584934556462576252340234127936286083754179162181074286675802782128965328353688294338112444643492099547594752717373560795616762126706252692435357507550707323956497802848343206902809703774820510108532914847729471215975711543935911818271462772496420490039419147339012665357083967275201349656823789143716214949367191114730665694011234155921243396603009846996237950478609288336435197648457834027486861662013785048035801825074254224248356016913300991845893346478658300107866502377115737915391
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:47:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
1
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:58:49 2004
Input: gcd(2^23-1,245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:59:03 2004
Input: gcd((2^23-1),245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 06:59:29 2004
Input: gcd((2^29-1),245969)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:01:21 2004
Input: gcd((2^(23*29)-1),2442073)
Output: 10951
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:07:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=494
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
494
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/51146728248377216718956089012931236753385031969422887335676427626502090568823039920051095192592252455482604439493126109519019633529459266458258243583
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:08:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=247
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
247
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/226156424291633194186662080095093570025917938800079226639565593765455331327
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:08:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=787
gcd((2^b)-1,a)
gcd(a,b)
gcd(((2^1485)-1), (2^b)-1)
a/((2^b)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
787
1
1
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/813966605576154086191388158047028539690522256142078632860871314912602201882035164980643579207953404631705311351737456109117285358168867807661542486856790777111225290468019355281137486073219485440547487321275219968468108891293513341206527
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:27:31 2004
Input: a=(2^77-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 151115727451828646838271
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:29:20 2004
Input: a=(2^(77*25)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 3039076645785252524975035638268319039702159060309923735769630602578725321174273084003385197066275360517534363148415356780194520849537879016772897231421418562463598802829830328907103196660408171035411498652776697026478752261827819574184825149262653150948780911129954850147054624596996066041318481900515455422473295917237488518049750880966788846647357623891434914179438417793174120110256645061614168520739417742738579160333625469805025882283616415349033184424473482016712548509063343721115519917610879040236609908507473167932125304901248790544442504018908734355346857001870197522431
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:29:40 2004
Input: a=(2^(77*11)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259327
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:29:57 2004
Input: a=(2^(151)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 2854495385411919762116571938898990272765493247
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:30:12 2004
Input: a=(2^(151*77)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 119058274783935637239712389396605617436841637597701400523408037561804222424698716159202241813978365140115864695761212177562146267528394607229996187359312355492810263626561294778105829869467785526505133364876825057802389157293903332659157614297811139527186798160932561671098885356404280530134345260737902673358612540308792031770071075780706179939433692669462034670182020877538513055879336231045022552087008393523710995022352289033546669432637167747312906736836196889971649548088829218365507028503972686832726498940033788104217047482844118843627711285591270499313153625716941119183025912100729711408982418213023125867450595228007115307182143299693867105297018707878450803471542006061615072903031917748024235104337876817776281555137901070339055964099546397277425487152377759001202751905651848099720109209595497314074064589370001105514572396329484180927677305788663776393053756064538492540502160386876993609123306476911570161383923640236639055395484805793114701816446718657722721758118497729894438008001424735530611152525649908381671961516823855179222435366172050648965631630252687918463336432101538151195231354142704245178051812353041389290583435663152084692944213001279438743162168171028485859052112227993929381304462920287360451779929405166324121466604599438965405262196473476051638596174483285198811326115370590231475584893563101576564844278495874874943456729372845152940696774738350687965854986310957777152804115554946497779852531910004249873264931216032475490396236584444751291043013403163918380491714729371182480397212309438037713310125532429284873996239105193547157823144062126973866669181849865652505546294156893500303012238293699598835992440243010000717194108498553096525139260850818315630649538718242669176785136749027248451812214633634722548275640870615142555920773808213965198864471847782576755465796056635921253013573543994125406709494389206005859614248310684291039715338566240397291886518607792163343203269169256480798958490901298491751950277292895189323151093691615630879878933904359871214503547070304778810966491033784977958168915317014637797380424849920525136805673834862306310319108394949214492740074750642376388756163058250629745367204525788338627538713405352488367242037758059008881496515213181880596022221946949603783231509683818842914364952368503668971722876067307902013063194456628300339429337644584710654623021288563756770934520098270742983340958701652824315985869861582092308942668538589274273598284634354305843137208628102616681540144492847367818430090237619120267178460476124771870311697566832645312659438638477263127113752323642857837660029666499104167440954772027150155154465700419788634001473618466182940337147162459742928200711979921757356988800851986125843432487911358830446292737531182292322663422227798629466506341874745528610569873096605751029671157334286398105879141399137051505295382531729365125091302494940579459908641973917733483306555270953594774523838357409206529602133230979759778164440999745361123592416708994400410674162756818126943613140670546946416506715084131995346637549069191342119620207696093442687838310299112549494165693703292012825075228339818321912670062425650758509945427245956701104500794041459891015794329074606607299657746273840558678484082583507590528274311788917705655934397185445205044698224901823105318128299381921718399202180041703863032042239717795536637369280213531185257128464076647554582899836804078484774106411317427788158333229661407101565109999425402348280452630863238491423311287776334482244941466012379486685884407658686351281225727
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:30:30 2004
Input: a=(2^(151*77*13)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 9657719919777009685768624526019721445874518829872634502017990864605981069744266494763495419673582135372542171497473399723637201016402891682100620797971836198753524504718806424061043093706316702088971814209175182935380750507658586280637503638089307655660002094914626196290036725863437092310257036781704288599952616259964721123217922823594195737161258631793775023635848387502945911925372862528459454031584894098851399827681857493718246008723269391749065061817210459060063181145385227335976033829894788836398550600391554508888389393322729496785856843532624832423305966244072871955452832964168377899012569429230793350023203673297802593208672341830484580934746428796069277473433687450896705938376584936916837635636349244919195403348507506261963872266492976549770972280238039050048299079306795328280293205940269646897934712715414398675788565386936620514278364573294321513746612017719301584494983723269514405402981309543035581678208635100775552311925018992590804017588009573811498174967502630874437721166407891884797226840390176717913694494939860114129383999303015464812219452584250727743832688888975756159285517928369558776264899938794516838838135470711374531378049083217687940338758148375801105316152862348428401959872819461319895290146647004123693171703442964840157611138641498795660256737702396055631300415776586874140552589599381613223498340562742733419868318787873327776465914010940092385882128724151551066522022344974792804368762585536799977444211287384052583333996127677337044712546444235948221831366343041868202034431327578998157757671298770105932314103011621279088308428080539279951147313632806029995853861518016338941548909626659733429579378424340568446029515953732293147777282616181426989296854011067742155998885714549583360733907468186777510796377179152051899808947401931229358493916060128666067871790040187900537768318689317181188811379818205320362130553359242031027584420161809900511378169542444278412475361094529254754018377446020078928257027680425562203374229707944214962669147256361092866953571358953801084624617146790920258629632279321570493328111056734833201204162794239155764014187846848711871886167973325651825263858306513041624907556009114909158173033304727401782165092903399110404211047266650466929752979189789139563696204939498481326062818134095823860025948669464126861440244451153301226808477056963597949611792047927002921436128239886717563156081679435584298962576811309336451239758169575546650386707821426318110548498677694135663517854362562020822548342367497168499889783509289748153898951214856074782947903126672881897280296423231854300526015093294893505839972947521090449831952797188885972695599452337097525640045132932879091634867599326265045734844976452007175266437663504117080543474349777995645389610455092024153806062643805697334380343195523214375704410207263558752354914472289808663803571812393012176132053058311085796105862283551407799881799294626749527357300182698893066785289616551490864251121234094956927344286355175488289590431061462317527874704524533254102490560396186512833872561027560281284125357212310541248478895678375536262806831725211551503903430551833430499407150858442230311270383116487885237878688302877702004153964035163187588745696488742222112928582730680914416991496385866407061217075806041094844208714018830560382195217850191829023573944075020094315827986466962596896097000177190992049103364662809323404037502449740420822114747490067691704665130754665938623939648285301509522948325157575028031311373151777577750577462252386162614840902821748593068963674414559706609314063979030958182561320194623839321687157872205525312294176551260720049518443757472590609168030119974188574196774425701067452823247497743739699390781784577446447242719529472261449188306389613862625946907100084993213089618184870889918703604969517745428969362595481113328907699421984642340536532612465687516032750507006238958598729251149852211548511556275603014338618841959962216814386553960322953549118735578859648186161553232097520734200441679224960166027239888542411096173832021740252483587519519982134308468250357643711667161412275943105879682924880133636050107182187259548638149412329284669452636111837905734186835124109563068159728267955673868394640201617682430679457236381899266876779603989721509891743798244199928353950629095520683231175274425373113481882290435136797712228392958511283929425069566461992367146754735194702749666513631789565335774416515468746352317329847597623246361178824768792832291171465098157793942672249061918934240482798928894029998770496934230940942063620477071511998793775624972717260662465696836528238544767015540260138736836705196081765741885989386523430614365084089310140758226544037623913729669986186735342563055034089974095496938386630052137816440898478221076434579033143346564023651380544374525223588365410515743840672399804129216075088673511798968835823319677667754855191754620099364723711111807285322506768250643231047486787862302532918790586299400343877204031767107366820235819488394637651907674379209281908532262404357807296904208912214891944845646696077887094412066955597611685911895358798946195092967527750535768618179656711504507115190571067278123797571872906008776413438451782021269590453315437731674062913691533505043794173791508353826304864376502289206039029315953830191720433272862248983299018661237318866576007179326437638265712639798968360239329615766432182625466443306710940029784917230727325005470565058417737530956032693800350428586177705957518651394011144098299088653837981898790455964977241654963230524866558036961865988863774102464144059148382406172095457114023487844300777287517738133447047616975193103035930178234404872420338541715442692928972518101665150107491404475645668482472834059028145270382300174466188660103869861123812568963164724640755200789783629750936817519135850736068399399379904836081749492336567424197167991494747314128682902713152920542772438114697592644088939876629903332499253691129846044357806152485762320038758993800320731394163931710613477956793441252583464967677677870261980372317849443961813310986685234914292005961029683419483891661051287669413062175940504728185214328990865485291732567715240328522093664835342745080715111333405927670813284600380801579108355389544145257109934845077252650903237101243478682814553587979840643464695030373280025513678337180239228697060072055478347646988527967689718548598857111850084265848029131626062111547071610907266497865584808945516012282031505771853942118816158971326114835551929060152586272656554452451276095107088344723199079566898417015663529788936419429431968171549607072900792043347395240395441299566981094660360435500280066436446476701510341061489283898133277066222177603578504372117665747133129952656845272174276785779206683535909364374376654422214320716890801879292655002074252295954801314602513620569581782393077718335509577756769717778831041912682378897604238423810207266348645332468913880259667202607455007219412125935287607085586341057664892879812398817976898923076828884078399705341966250230859590381534025628992859509535780079541399333735249682557981360752622637149337728695667490423754313457468297706313288045623834301906226938880962286400891223114399623991189644952491881357889170868328631364477105526456153957777494018613451592933448404621800459828076207595111407131837665538317893652354024170290833510527416892890475011174530763011026155226068312214760137953634866773313112685873278843830849063753215056034171355492073094897620305480784628803173285247433713159820976717623710976371705272528798987969150088408565310426541401840674223548125491285419502182836556837960804276894514596222972695194790676290615640793477619685435541335031282995676393349358691011535356154567346766355802190879945681790923009934789099750757602055045147434887096050666259046723380991569950339425357362672100787344003668707083736219196755363843010073826685283285439048266661118246580589492981741228540384617482602399847071096759089399341718349698267712546917580787238204062542358538385722721292333611718429097548666480063254246755188964510021199522496339386239596712923585830737427039900620654171227058328297970837423799445368150171521586844277532314695464958462152177473719222405259468541562888514480079865607034514682754371794975520577963668260068073183346820136169967004110457507390640928859394222830558528317602124649957084861035711087555015499031772807907092570013351610912993536740929858120613150276702929730037002532048332040565533772144406953309540067175257351366138844713413993346773164043702064165304824901642320441049620745967289779437920731504262389420083234969232950144680114503190223125375419030752514598949770914132275568742670986623963099060525324085301327046152366731142147609913524659372006917857227461175957797938493959352956427033890007663094749461230200182368468895496769950935682116596130982839112968911050730734781201331721175588234123978650543084500375096661606605457585341229544600534248786536429144944415335937359615028590273341636326199587480984473271002372252982659575430901897710801087408629395565638391191453380604167683955808800366901378688056949753465086273903315125568392483081425067179961053707890154261122654583259153392643940238739087015729203851917632387221954557797107526591528364644427545867024842020633281045119042513424035190794755360492714984659861249912272801452342131262839963599913116133118619926275910815770987912840611282800165476341721391344426483726904356079594742768602609199546768869326855778897456039405378316966532876305608826517621011703016579964403709702677165339462069422590218144251952558091751713994169562799222701670873977906020829021074169425699630628700138930228382843598598119974563972517528922075536063000916981106924223680049181317985092982641975922557627447649784266148988570707679956651750207248592404626670804559653193927639778967435561767192262426732503908728063700817008580111347647218646468901710597242361731261505946903547427663808222302996000354186486053692204279716355021297643437940413592147830852298548234318364167702364119134597180891033673985375505950717907514263212204400183177250736584867506764230972
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.692s
user 0m0.560s
sys 0m0.140s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:30:41 2004
Input: a=(2^(151*77)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 119058274783935637239712389396605617436841637597701400523408037561804222424698716159202241813978365140115864695761212177562146267528394607229996187359312355492810263626561294778105829869467785526505133364876825057802389157293903332659157614297811139527186798160932561671098885356404280530134345260737902673358612540308792031770071075780706179939433692669462034670182020877538513055879336231045022552087008393523710995022352289033546669432637167747312906736836196889971649548088829218365507028503972686832726498940033788104217047482844118843627711285591270499313153625716941119183025912100729711408982418213023125867450595228007115307182143299693867105297018707878450803471542006061615072903031917748024235104337876817776281555137901070339055964099546397277425487152377759001202751905651848099720109209595497314074064589370001105514572396329484180927677305788663776393053756064538492540502160386876993609123306476911570161383923640236639055395484805793114701816446718657722721758118497729894438008001424735530611152525649908381671961516823855179222435366172050648965631630252687918463336432101538151195231354142704245178051812353041389290583435663152084692944213001279438743162168171028485859052112227993929381304462920287360451779929405166324121466604599438965405262196473476051638596174483285198811326115370590231475584893563101576564844278495874874943456729372845152940696774738350687965854986310957777152804115554946497779852531910004249873264931216032475490396236584444751291043013403163918380491714729371182480397212309438037713310125532429284873996239105193547157823144062126973866669181849865652505546294156893500303012238293699598835992440243010000717194108498553096525139260850818315630649538718242669176785136749027248451812214633634722548275640870615142555920773808213965198864471847782576755465796056635921253013573543994125406709494389206005859614248310684291039715338566240397291886518607792163343203269169256480798958490901298491751950277292895189323151093691615630879878933904359871214503547070304778810966491033784977958168915317014637797380424849920525136805673834862306310319108394949214492740074750642376388756163058250629745367204525788338627538713405352488367242037758059008881496515213181880596022221946949603783231509683818842914364952368503668971722876067307902013063194456628300339429337644584710654623021288563756770934520098270742983340958701652824315985869861582092308942668538589274273598284634354305843137208628102616681540144492847367818430090237619120267178460476124771870311697566832645312659438638477263127113752323642857837660029666499104167440954772027150155154465700419788634001473618466182940337147162459742928200711979921757356988800851986125843432487911358830446292737531182292322663422227798629466506341874745528610569873096605751029671157334286398105879141399137051505295382531729365125091302494940579459908641973917733483306555270953594774523838357409206529602133230979759778164440999745361123592416708994400410674162756818126943613140670546946416506715084131995346637549069191342119620207696093442687838310299112549494165693703292012825075228339818321912670062425650758509945427245956701104500794041459891015794329074606607299657746273840558678484082583507590528274311788917705655934397185445205044698224901823105318128299381921718399202180041703863032042239717795536637369280213531185257128464076647554582899836804078484774106411317427788158333229661407101565109999425402348280452630863238491423311287776334482244941466012379486685884407658686351281225727
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:31:02 2004
Input: a=(2^(151*3)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 23258839177459420497578361852416145099316523541994177929007686373780457219628733546438113622840434097944400691400517693873107252115668991
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:31:13 2004
Input: a=(2^(151*13)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 835375027435842293367628882099002646298553519655757700440621364996889505267878349591526411180170740349018862353832419302086868964297940933775630660359931924461343363111607905016635625712224608806929078055425534292456107968219936912263198072035930483041047384599823263189643545815657938143239620126917235621252394841463381494412747887020771005343229455323518797498448299524330709626056205101204016561075743804361237694152963957883214186293867411234102396948598411985985569361871399735974278571787221755624198890172745563383423624468793092156667813716067941098557849187802950988537962648567807
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 19 07:31:28 2004
Input: a=(2^(151*17)-1)
b=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
gcd(a,b)
Output: 55462426915190627750558172543376707728237046311968456483434414918028499962018339695819775919162081200045114767442189973667102734159467970300173095836730678728197966877076622822612755502002617850738410941555841311578014648793846458079191517048165090296393923143132718386821037899193375838847226330672936586692076945121092036204120871006359435957577112326821503707700968411445470775584552405794218950810829637809907322707653337884002260847737486079930956415888092051938363747640733404149655006194045252739401734413760111275560216177548940193707502835338340754658805212463196268098796933168074533283177545528891189739765271920007471923754112416089417578526189551509555089930532211291959054921678988423512542114165466283697429967161942152131428357024336773380734583366303612927
35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host 200-204-144-106.dsl.telesp.net.br. (200.204.144.106)
Time: Mon Jul 19 09:35:43 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 200-204-144-106.dsl.telesp.net.br. (200.204.144.106)
Time: Mon Jul 19 09:36:11 2004
Input: 2*12
Output: 24
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 200-204-144-106.dsl.telesp.net.br. (200.204.144.106)
Time: Mon Jul 19 09:36:59 2004
Input: 2^{27}
Output:
Errors (if any) and Timing Info: *** unexpected character: 2^{27}
^----
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host vader.integrinautics.com. (209.172.74.2)
Time: Mon Jul 19 14:46:19 2004
Input: eulerphi(6)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host vader.integrinautics.com. (209.172.74.2)
Time: Mon Jul 19 14:46:52 2004
Input: x = eulerphi(6)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host vader.integrinautics.com. (209.172.74.2)
Time: Mon Jul 19 14:49:29 2004
Input: eulerphi(6)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:09:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1),a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd((2^b)-1),a)
^----
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:09:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd(((2^b)-1),a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m0.190s
user 0m0.160s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:10:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
c=(2^b)-1
gcd(c,a)
c/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
Errors (if any) and Timing Info:
Timing:
real 0m20.995s
user 0m20.850s
sys 0m0.160s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:13:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
c=(2^b)-1
gcd(c,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
20927902484106783612273926739453160362527437728623703270385749772858418967283908642445280836244059729054583455420959898929436431361178008664032378075583153913934702685203576143400536338012443636480379262017668896452308479037888217888995203019681763505021868120481527671211777014946532005541417320447
1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.000s
sys 0m0.080s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:14:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=991
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
991
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:14:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m0.188s
user 0m0.150s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:14:59 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:16:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3473
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3473
1
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:17:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:18:25 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:18:32 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:20:51 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
gcd(b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.225s
user 0m0.170s
sys 0m0.050s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:22:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m21.106s
user 0m20.830s
sys 0m0.170s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:22:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:25:23 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m21.083s
user 0m20.820s
sys 0m0.180s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:27:46 2004
Input: gcd((2^29)-1,475393)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:30:22 2004
Input: gcd(2^29-1,11884825)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:30:33 2004
Input: gcd((2^29-1),11884825)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:36:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m22.281s
user 0m20.900s
sys 0m0.110s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:36:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m22.258s
user 0m20.850s
sys 0m0.150s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:36:30 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=151
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
151
1
2854495385411919762116571938898990272765493247/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:38:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=262657
gcd((2^b)-1,a)
((2^b)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
262657
1
432086914652520483411248140353991841521702507588452248201049490133966624554504996374949572957521340523820408080695265133774124026961834056040427296624248101590746678707679889919641382288072220065389817492285254435993107856330727142265963083232862019139019105362570996428261874482603101566426481423130318283082652619933528301873996603420060421081716581812059360070141544434466998647972381043676121203743155306497421841035794976973080913954376028800228801263369716220575738679562583719489427975037193744996227776957282557817327744196658418835598326399529382768812859519589656983402619031405547257607234190818618715170380411462289750015748240690701963362156703058615411460908044988076128368198600630427787577569313938558339450584332145518465911923315240542064331084151150362285037859050162092818463774340908091227352007525285855674388388501538760006467691921086024037196701258602351027807527649327815141332204755428483767976060251361584266001603724262624993327531853059290296651925198721640008036980842778104289603895819775391046722844469600469674956568419674868371581048265450083513979992476624551738152042305925281669462308300629012192276051403245284540675598594187490681792894258748040929768122209571994043598262479860896622082309366483202427537098661403635719806154243567554949158292561859493128159142567772996936968937880182713315936230380566519139675064234644223802801365567010985297891480078590839233292427179624384192577361313536090741518333996432369851215235064662665413066833537754381529898308127165183501271755309226025411346396140462194831668207721731840973064647447124685180238251160535752594670744995087409525349072511223453243022770422887395769487108575482278226671688524977243736572115836244698659449131138640866430834430285106084014044428632403809111078712178912630979606911110568327972274808153482120333990580126014719526139056760964263735401145695135836209475784756857279025751747093775473074712797040690082684599462122450430060618760074294458291069178336478304245477722304630930867958899001544738974287812263398082799524478440724658411393073956279222085715912252133755294903979918295526053211603051543099563111026765052952894602699379607111463141750345092064214235067022114664373780481161184888696286569693423646001004192103048056107238383070627841400028318804036551932525371959370483204240810421592366986740412635019299538927413170957923200774925363354342755242194398270631027332469329350304680249673089953382476634123345433498274068832951493427930715097710119543828301567472603896870991624467506581159460530868811543623117150698179379568498576262591429517333944747086616165537984733439976336891188191543886950267780723730681326897951297348037297967524761273533339138551016094036547601767906492398551366345096212688532088083440592525186240147042054887017638348818294955222147013718095126732370251488148555149105046666027478100281460871502688049564384836904858595697226990561843313914564091101063959142211450826073133748052534175097337550051096949159978527448334345464152875433754360275657252001117513308890401265983785046715691480166942587157516820651313242509693418961260947293607974625438821541121242871841421901993341794666190341897140537601504904118939063596011847609546323048118504084993001564814102378966027021285512280583768244634935456368230203940882036562300061535594764461997045277222617610139942959990236990946708955289018327075910852414661472343997078648422309189787538043874303124479592619241144770704924495024470475819328526922175268800394742264838933025484878355271624088278743025078644839715530955203384805798364048078416388091938827143524676463052903549333046610917020262414009039146221459899418512891064875558648992305455861479943031329956495736698596369844926893492485928016449552649016224789280196852937535688123963062630092069962502790905084193039194994055174788168685321631219041558751773543455537766908356138753871455893799512211145658848764982786622248119129986798846038045512742086321146744945172125671324546657112277952904716606233572103247463895670567961115453187221986151177014400874476461835017826672022742393123373182197131396378117390534451879437535352296123118513222948848978921623924227381741988430820662160939035840706151923379571545656279000022480522429495956432180112301647573482450197748918701953506939373452076209394792237974388238023475491915448927648750409568099923619531973993060652679678345121784252293260667908468080276727019435120644301107651146923444727826295569711053256303380087652213405478423498151989959355046924803040274069340784976438419425428005215365893305639659079113660955934425944684447209745381280152637673950672784058179489287006790794937546319967861554338996008272590917135804164121601543538103917974937248807916243277935388120132447244600234164157887127297537082126087987323824112889009883195663304874547705364137723649663098226917750438075745949533109007785603087362565965255454130551792993410695135296325682186587562957445143550412726165198072955835133437026597598864736040832881417698855938345345382323075436481882491837715933664492898382689488199072230290859707585739772555640774547132182870848444605676240832329251548547708830860092881753768660201267737680138909002432985954183855515273192470958971498912507528650098086089671805539413643340973391420767055300552809286465441759783355430817070529502250323751935210789397127649394771755034830909499380517855195275703925686840751098862285999333681345479102642944513168262158702506271327441098241829273022935249050881161082926248893787165037576249161487941705141491326503132039728423572636069288667316851828859648956895373641394122874859966858558532364431256250972220585974825565341302051313794674737385396153243749319086765680166735462964119918661688454803998298666345971079468092805445588829707741186557627616003642210546045379880136192480489385080994416922064554583494487030965793700523502328852427051785402328554501666378983573086900845050055548753259426514487273462195138881123988232636107723113406257658470014714563021671084046237869661409107367367426144546220323444809632064773707465005850178987272760067788320218528936054366134253916945822899869486528402410382623115855854978785423915129585156022751890662261590351534679521353691528150302197801146538245480456434048058437829989743044960961790500941272174708931543451849102863432042820046677753857446337427426016699485032969950233609813167465033849364756396034805554988000236552658285625714747073814878523794730267284035362649946608480046242789905535223372150235595248269283753115362161496602724871386931599694209811208804445895613676722635484308515402441028462835627816692797306094877654276061324047223992167372907044410132555255617832105038432607995965640995572274526428121605213245299574536829988329655770118288729750952754377186601306415574908927993975443566645474807744812005702644815111744343092978747139767141247786032340111467722136868168420231771200742642452960564821289050329762442705113264276223402545454274854990286666185477888959245470632992957200493626280430197753930766351695296774008070529357678020407788478916154974249678088149228110960800479192462965466738553545426778327579831855471958963524544347701977131790606220121705523984181308227693701964242265793257298278486682327247810462565144289303731292436789388418811000186336566912006640171771566197757637136276206935871560624018204206010808675252846941720054098406349007038889132897838326611916123062193237274217475595157157148307065548964586471697738614895977779725073067247580208367992936125129597425664928527918538704919008996934356387538804684612119857883054731816593578764919453088313289963759202773575079765594978083126352766895873053105856617394085980946830077529424667374122865841013302580832211774903355403357850877830418669635378861801818099551885166947341667715348661724389023123117096025410742335311006386564520494568910852133288520962468466806233204460598152630932867073426008358760498822339652189645777594352943016169048027849703962679419234717061574164691986092839325494144083461529302229246724131786852357986747611676765543198267032698378393680077777260316487070436231337613254231673209516115894563026346240710436735432082695594524995239836703946794546218151128323649917961528785493084765860279030805312232788785822615568029476566795422170880227148249938731386252058024058753275171708031659028164608368615705807460370778132424924778369651212736093899637629710532261635649707981606874608500766181344265609793519672638676489190355237368665274881615160313886160780823286506148738484445977643140594749160146642975277019361333205703562854351492525267607122126353520118853600764384936224440295836675416843493476654528295264167544216429416788587594956893983209306229419615632874354923340702954515263974693840989213226566467544462633278009051235138113660823349117303306336719966634941547883073643704112709601228199959957448274045189761682588993231225179590661919177221115752442008807335072258497486042241182906173262556558990074713572426032415940840279699168689484381616677561028433495584796536664736777549051598202916875441099422673122970610959247557809433136236562211259678467862586376582277524938601632670475774046939513663110074200451634774167327124730327331586630317273919367339617828318203573319267473410166007786220914756064202993242024459464399895850449415761222469229015391802965361218115118746375173727799907517142735747736034229778198977513299569725141028765495022961237914945979016336140281675071781578067211092314154661587739418686117704302598877156982587759948831361744389994596678284126718844160834617156552927948315811327893495068042435241653404159229194068855568221800141897692123714455120121167607288467005010260317762984358401760698674465869126923011758337828765251302926354216150339550161715762481955870375806411758499103200813723304960130902328230784453350344630820960844364779295817200463168983470655885376552276393653167398842700432104766003970888169762757958527404489561
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m1.819s
user 0m1.620s
sys 0m0.200s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:38:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=262657
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
262657
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:39:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=161
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
161
1
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:40:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=631
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
631
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:43:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=713
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
713
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:43:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:43:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3473
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3473
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6169
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6169
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=713*631
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
449903
1
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:44:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=713*199
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
141887
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*713*199
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
425661
1
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*713*199
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2128305
1
Errors (if any) and Timing Info:
Timing:
real 0m0.098s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*11*713*199
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
23411355
1
Errors (if any) and Timing Info:
Timing:
real 0m0.410s
user 0m0.370s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*5*11*13
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2145
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:51 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*8950393
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
26851179
1
Errors (if any) and Timing Info:
Timing:
real 0m0.526s
user 0m0.450s
sys 0m0.080s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:45:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950393
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m0.188s
user 0m0.170s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:46:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950392
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950392
1
Errors (if any) and Timing Info:
Timing:
real 0m0.192s
user 0m0.170s
sys 0m0.020s
************** PARI *****************
Host 220-136-164-199.dynamic.hinet.net. (220.136.164.199)
Time: Mon Jul 19 21:46:03 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:46:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8950394
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8950394
1
Errors (if any) and Timing Info:
Timing:
real 0m0.206s
user 0m0.170s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:46:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.020s
sys 0m0.060s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:47:51 2004
Input:
b=297
gcd((2^b)-1,((2^1485)-1)
Output: 297
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd((2^b)-1,((2^1485)-1)
^
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:47:59 2004
Input: b=297
gcd((2^b)-1,((2^1485)-1))
Output: 297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:09 2004
Input: b=631
gcd((2^b)-1,((2^1485)-1))
Output: 631
1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:17 2004
Input: b=713
gcd((2^b)-1,((2^1485)-1))
Output: 713
1
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:23 2004
Input: b=199
gcd((2^b)-1,((2^1485)-1))
Output: 199
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:30 2004
Input: b=271
gcd((2^b)-1,((2^1485)-1))
Output: 271
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:41 2004
Input: b=3473
gcd((2^b)-1,((2^1485)-1))
Output: 3473
1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:50 2004
Input: b=8950393
gcd((2^b)-1,((2^1485)-1))
Output: 8950393
1
Errors (if any) and Timing Info:
Timing:
real 0m0.364s
user 0m0.330s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:49:59 2004
Input: b=6169
gcd((2^b)-1,((2^1485)-1))
Output: 6169
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:50:12 2004
Input: b=45
gcd((2^b)-1,((2^1485)-1))
Output: 45
35184372088831
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:57:52 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 3
Output: 2386605774051915501435365614651119016006193305113947662448911518103472556679185475841567136860735120524357838637975830795673422486479293
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 21:59:51 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 5
Output: 3977676290086525835725609357751865026676988841856579437414852530172454261131975793069278561434558534207263064396626384659455704144132155
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:00:22 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 7
Output: 5568746806121136170015853100852611037347784378599211212380793542241435965584766110296989986008381947890168290155276938523237985801785017
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:01:07 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 11
Output: 8750887838190356838596340587054103058689375452084474762312675566379399374490346744752412835156028775255978741672578046250802549117090741
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:01:44 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431 * 13
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:04:46 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=297
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:04:52 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=13
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
13
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:04:59 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=54
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
54
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:05:06 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=713
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
713
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:05:30 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=2970
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
2970
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:18 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=1980
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
1980
13
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:34 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=1485
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:41 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=1188
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
1188
13
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:48 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=990
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
990
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:07:53 2004
Input: a=10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
b=660
gcd((2^b)-1,a)
Output: 10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
660
13
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:08:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
gcd((2^b)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:09:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=5940
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
5940
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:09:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=5940
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
5940
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:09:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=2970
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
2970
1
2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053823
2187250724783011924372502227117621365353169430893212436425770606409952999199375923223513177023053823/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:10:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1980
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1980
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:10:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1485
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
gcd((2^b)-1,(2^c)-1)/a
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1485
1
46768052394588893382517914646921056628989841375231
46768052394588893382517914646921056628989841375231/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:10:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1485
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1485
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/46768052394588893382517914646921056628989841375231
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:11:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=660
c=1980
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
660
1980
1
4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/4784065733063810973581885157618788676291241975216665977767007373648750357731006099232824032039924032894289638403441329240212719241920971274455782595989040464660523567661989180298099889009174801022975
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:09 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=297
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
297
1
633825300114114700748351602687
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/633825300114114700748351602687
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:27 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=165
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
165
1
46768052394588893382517914646921056628989841375231
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/46768052394588893382517914646921056628989841375231
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
135
1
35184372088831
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/35184372088831
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
135
1
134217727
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/134217727
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:12:59 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=165
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
165
135
1
32767
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/32767
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:17:46 2004
Input: ((2^1485)-1)/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:19:00 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=297
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
297
135
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
134217727
10024766115676254527553691313992830008826503407917831730838032717724985097051730207414761942493626795640637077090069886461803385294068582514156478778382561674231958692596162740123830271441194931251649832462398901989290247034664652725698377662359583404821027514254865884114176250991826845178057391118083263
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:24:44 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
c=135
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
(a/gcd((2^b)-1,(2^c)-1))/a1
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
135
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
134217727
10024766115676254527553691313992830008826503407917831730838032717724985097051730207414761942493626795640637077090069886461803385294068582514156478778382561674231958692596162740123830271441194931251649832462398901989290247034664652725698377662359583404821027514254865884114176250991826845178057391118083263
10024766115676254527553691313992830008826503407917831730838032717724985097051730207414761942493626795640637077090069886461803385294068582514156478778382561674231958692596162740123830271441194931251649832462398901989290247034664652725698377662359583404821027514254865884114176250991826845178057391118083263/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.000s
sys 0m0.080s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:25:47 2004
Input: ((2^1485)-1)/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:26:22 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=631
c=279
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
(a/gcd((2^b)-1,(2^c)-1))/a1
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
631
279
1
1
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:26:37 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=631
c=279
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
631
279
1
1
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:26:52 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a1=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
c=279
gcd((2^b)-1,a)
gcd((2^b)-1,(2^c)-1)
a/gcd((2^b)-1,(2^c)-1)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
279
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
511
2633074993645177985443669899459414751628342905613473928926725159539491410636316301088939127529548533262582812757246486168397891771184171677420798246493628501668743574321230316832704887605929937057764590045076308399801008415383913690973758781662381098360076623811640308523777191556760263673933020178902395609791
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:32:19 2004
Input: gcd(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.095s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:32:52 2004
Input: gcd(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/7
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/11
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/511
Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
36375642434544394397650815864453181447347649886891718761359650881328237495773869753274953
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/11
498296471706087594488367340608947691059556847765639983032323984675729280764025613058561
Errors (if any) and Timing Info:
Timing:
real 0m0.097s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:33:44 2004
Input: lcm(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/7
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/11
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671/511
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.004s
user 0m20.870s
sys 0m0.140s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:33:54 2004
Input: lcm(2^3326400-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.092s
user 0m20.790s
sys 0m0.210s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:34:15 2004
Input: lcm(2^1485-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:34:47 2004
Input: lcm(2^297-1,254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671)
Output: 254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:35:11 2004
Input: lcm(2^297-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 202566742627973566373509125108862009921785159103225207018168514203725872269364384134070832702795688579550030868386891513440280649305692539640122500320112546241314870345221359158114080395159983429711682419037146975048996779201
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:35:59 2004
Input: gcd(2^297-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:36:12 2004
Input: gcd(2^1188-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:36:22 2004
Input: gcd(2^2970-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:38:51 2004
Input: gcd(2^6233-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:39:07 2004
Input: lcm(2^6233-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 16619670370858034605130118850452151368439012399806494299926883807150691175074821635548610025204013608387084109920819209443658557028354626224615466231432083505892530705998451881467407549511717970494516856531722553138209407715721205117653049216570068324897166873268140134083468328620966347506918301281574267494345628817377018123329238646124593793912420336586785603157140309392094281677772033371969771889412371856675378474456336924630357240209017653232296190070562673273009324970776591145351100312862634702897004142579468348926517318503356501642536521071280010511915127885733602527683868436746065274735685464306303734626678532942507623319563254755073106018161918738332011761963522557851831958173734982575519577190587355605002109035957685047774793024964015912629378655421377545841682819713854562650847415435416992927625116804704853830758445054243121341672957885491032764833360986917239012528870405807962971318474244649814610140340343284169291058277387768829557210730263366209861580625541015907367006755286797878060924238483081152451279738474005216438712981761173400883078496137620432500006641436036994583220357249239707071902620173765377457520990076080837716861911346082619225258828377940458484134261791060147159964220676573904241774673587569893523116805364426200704333117149694033996505819291886489658805104426853508361356366415718157259765815604137418304619744931637228982829600870374000439544802717902062384283345772896053902706016785872890698611390866110530505626593430606677330253065676664523353341594632531173353960241158761695196037968289105974334435699083994016253746021160951044607248819420404482218690423656341053848393909228755516360946309738088523240150391941356795579380827876936066724057739809787041464870341768586002178565416913577892284408751963977479784115898445370553936527649455411609784592157476730706502098566338142115133284044050965016945101307826679627309799605000496386159736682651063570699569266070975350087850965046708767085344395605852516987229266461997255970965479516472115047191734678721
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:39:46 2004
Input: gcd(2^24119-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:39:59 2004
Input: gcd(2^43631-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:40:15 2004
Input: gcd(2^53929-1,795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:42:17 2004
Input: b=3
gcd(2^1485-1,2^b-1)
Output: 3
7
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:43:23 2004
Input: b=3
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 3
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:43:43 2004
Input: b=5
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 5
31
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089231422893945177960469409526209849748530754885648108877404378303305037677601
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:44:12 2004
Input: b=9
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 9
511
2094703994448430831976520692726380588570254204876197102709853321219723925838780842680336842790217346170691945580734433132659526843851165458196713257911201423175607609479219456173580801922133410819913692248328438742880951242163751383466544814694098046389170461262828272123945153244892298378310811433472197728701131874735903353316081887740029009933154687074468120022396874297796692196282811691881986912926305683861842377869618785784202353143185921
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:44:34 2004
Input: b=11
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 11
2047
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:44:51 2004
Input: b=15
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 15
32767
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:45:23 2004
Input: b=27
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 27
134217727
7975054898397647243273625651425168903057044757521014489276331189420894649062392560184334865585982274109168785072297456883538328861789959750536681900391771105188925516849805853921962109984250984439454087453707453990873843994882113872718202121756123181141833117955463863989709595574807823047970590669474629378623573233288674405464472249892555728319270710753827691713515627977920604424335965505895471709972723680929281830941565561870433124353
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:45:47 2004
Input: b=33
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 33
8589934591
124610231873551195838203801519864271660249700112266747699701436194938184029720164211393833495349960563305479562266354320228026776741721239625504439978176770641109004975877486527964621352750667636483740570882751230208077155397477805655086669833838330993743664200772637414758630413899500258874185953915407763943272427647993788261957423865924618200138986959959403179982235416089690421753354277031618355486653810360009696503563888375564861441
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:46:09 2004
Input: b=45
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 45
35184372088831
30422419887462938776249346145788101981268757947240089499777078777719302228842784925060441578657620434989958136276024029283612840152876207241055037428619271573784434045690401448460576153356061965528432801899650730502289256249815117775132597882545133936183351887599469319162141481952492273785502934935552688736527612169276811219921430661269560730104993656817194798949845447878404330531009099413558553851679441862849362636701415820492801
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:46:33 2004
Input: b=55
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 55
36028797018963967
29709394421349682581506748561352511735671146354660589338100334983013513629023005613948464778384569380300882573307093993166583021489688918196401866813659068501513102536575040669092404764718730104149942468572840779882222446639141090173714982987367824047160422081624000906645512302465841101196373427960212127866826591021725392237937370575344338597212696119181702018700622690224769873260735247847462952387481428859660022095212751880193
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:46:55 2004
Input: b=99
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 99
633825300114114700748351602687
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:47:30 2004
Input: b=135
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 135
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:48:03 2004
Input: b=165
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 165
46768052394588893382517914646921056628989841375231
22887284938275379073209001944560169611929137396979158193228139583587169035699692294076812778010302076359999394867072337560183872498894608839474774135119675215891343788904116939360216959705800194876272353565978947397398978894393822441915136312028790422859625376238392203056611385191248339234111281365321873353732913869888962932995740126287547874181234456859509851450532409157491346435154345616998401
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:48:42 2004
Input: b=297
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:49:58 2004
Input: b=495
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:50:44 2004
Input: b=495+3
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 498
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/116906807424862209643328203458128541150594358787252313910117548860576207014452662674402503297353719898245953004555716821757759162353049751904590271049
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:51:16 2004
Input: b=46*11
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 506
2047
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/102343428874134381866557958278928356493339077160115362250576769691330025876843757456047526091283764561630067310290104809276944024883568712952137648129
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:51:31 2004
Input: b=631
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 631
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731647
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:53:44 2004
Input: b=8
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 8
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/255
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:53:54 2004
Input: b=15
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 15
32767
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:13 2004
Input: b=29
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 29
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/536870911
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:23 2004
Input: b=53
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 53
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/9007199254740991
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:28 2004
Input: b=54
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 54
134217727
7975054898397647243273625651425168903057044757521014489276331189420894649062392560184334865585982274109168785072297456883538328861789959750536681900391771105188925516849805853921962109984250984439454087453707453990873843994882113872718202121756123181141833117955463863989709595574807823047970590669474629378623573233288674405464472249892555728319270710753827691713515627977920604424335965505895471709972723680929281830941565561870433124353/134217729
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:36 2004
Input: b=107
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 107
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/162259276829213363391578010288127
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:51 2004
Input: b=212
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 212
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/6582018229284824168619876730229402019930943462534319453394436095
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:54:57 2004
Input: b=213
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 213
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/1880576636938521191034250494351257719980269560724091272398410313
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:55:48 2004
Input: b=371
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 371
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830847
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:55:56 2004
Input: b=372
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 372
7
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/1374232917005945843062187503492732066304399388618354027202437688485132595267062312061044442483430372516972237385
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:56:06 2004
Input: b=743
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 743
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/46268644699475435470014199270680622913148582491776246164412857235254375716637876222457838321585848270371190628323884999935972095850551557285913445801770125007762163162852820919462003875720454598226040577701224945512200798207
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:56:16 2004
Input: b=6169
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 6169
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/1132513143853976343456941430420636429482132490000409193380144934783211811227259081832854888760284059394515645437326936845845103193738434069755242222161607362713429434644466369105730650084393154303392064750845079455886405020721831004793244116835882802632031414106245011324344460510646551265177647887950512266592279069905771993762737362604176000062199429473923272160328022746821366216882619965958076109619099242314967825798114969863045310981298662205978002594976430521238787444393441392045652224159160346577490367892930739221336223763829398039996168877538734878777901379624726953556490171614835153128179086234076896829337885757855434179828754541589099473853079489128803479421147070588382017669848156082419909315897781348217923830054369661809050387559506717296975405814869535088143152011983300202833115375154338433469312834363205694501665101446941904251164838509617868208200707527180009195404812364025839469920243952987889897853110013925934882308055355196519616607056001404071517968136478527615180926573445158551666305596557849407125877980712680221888491647956181721482315739970857443518430809951045492367501098843138040142528789671316439148762189930746198590973561671475383381028608500165236704010633525119251000119525174427134433480843526635337351002911987708871349375246620535583611528961114108405561300380504540611246863348637908050269409680452136403704538425555260655795844295964444195710511166344267886916398580759623275785453859243710096331600890945586586087612428075729889044575391633796079277354422411139594083731874423374731126263422765208742785544878038583144711111691797355547827796764690017518753347148835397775282446897252906900678026030019427524291930424568908313314320040056449836087022504146564626406933919424676640725378792789367125642358526502697506900406969054901686813169435870110797641388009115266987070044593722121595128182030722203123711
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 22:56:31 2004
Input: b=713
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 713
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/43091033305484275771318189120554014028188383664727440257009917157939053808001686094755156265186004592451444480869811959505055188993505721246743058601180207922833192313884218148386109504588371699886434318219521032191
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:06:26 2004
Input: b=2263
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 2263
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/1701688984618219106945616555794150580925783662463607410858120803693407767459184545017671757770553547005284293865678088006575617621206967791713346471638286861668602727332832813179879409589051860042094684753686063111987344023723007614497673997859446567419383995548182090292343250195203922128689073294133498009432793901760136306122226394844656482263970841009146508125019551178271597310742086692675830822946813249514468149096890616156260348681759608755571772715239952813110803873965575797601620581857355934444181009531013367381016264456157395980686040446143899077984905269450825270686325306792462896489643229166009532741745220367312214871935455056918812195536869085846602493794145271807
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:06:36 2004
Input: b=6233
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 6233
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/20891180124786511022509376044845660770809724107603297206965793595417322359449678874162226520673022718645521242139198722981676826774467165245362649997843268709493315138402362856802914677435340026575983713253192885019625370270850477664261099178614390712158447737508350698175020401012278735044783873124165724857049192747134626621606785897776127690415596006184625334477797146962104776481133761656265471720758435127603648551576034816676763678694828009978956836084149905894075622665828236031840880990954540613311072744260687972093556141846195399328419896912031234713881141193803378923762885827373477748396708580746720812987613753031592816697107402011709680108958597278541825815681619136207246255620705275486339675293136158604757660770863589400507102055869668658019941935463138382763666697403551643941027870878686828750591358439551354782360392330221378083642990054542826844911399921501018157507673160759265117047672036584131941101955217879456935892207002283679758474971587155418872974945591802688241380429909999930286061041974821284381313319689943650835699357256977915555074656488289462787670103501679169163468520842904519869285953352995424315012700780636862595590382393359070715246663203876088892593873789278821898703586314442782458561854418195526403941335729975118546835191944653763363901567360036590197556714811809983342154285302375102613383418132017340039355086440713239862658914760234129872248077539169654186764929857631628370186262600503667937155028814339621806457449546553497641804786651573460777067768702998738618966277535624264104869183017175013358251776541054553199670200478584002323037385567181934830434846536190570538654012212291765404483162402674239623875580392401101497223795182004448699623342603001740879929129195765289628375424767271297097000048058121459184458326702081757018769103034081130217548022119205817117897673166036240790583692383261603668877522632486097518591
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:07:22 2004
Input: b=6233
a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,2^b-1)
a/(2^b-1)
Output: 6233
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/20891180124786511022509376044845660770809724107603297206965793595417322359449678874162226520673022718645521242139198722981676826774467165245362649997843268709493315138402362856802914677435340026575983713253192885019625370270850477664261099178614390712158447737508350698175020401012278735044783873124165724857049192747134626621606785897776127690415596006184625334477797146962104776481133761656265471720758435127603648551576034816676763678694828009978956836084149905894075622665828236031840880990954540613311072744260687972093556141846195399328419896912031234713881141193803378923762885827373477748396708580746720812987613753031592816697107402011709680108958597278541825815681619136207246255620705275486339675293136158604757660770863589400507102055869668658019941935463138382763666697403551643941027870878686828750591358439551354782360392330221378083642990054542826844911399921501018157507673160759265117047672036584131941101955217879456935892207002283679758474971587155418872974945591802688241380429909999930286061041974821284381313319689943650835699357256977915555074656488289462787670103501679169163468520842904519869285953352995424315012700780636862595590382393359070715246663203876088892593873789278821898703586314442782458561854418195526403941335729975118546835191944653763363901567360036590197556714811809983342154285302375102613383418132017340039355086440713239862658914760234129872248077539169654186764929857631628370186262600503667937155028814339621806457449546553497641804786651573460777067768702998738618966277535624264104869183017175013358251776541054553199670200478584002323037385567181934830434846536190570538654012212291765404483162402674239623875580392401101497223795182004448699623342603001740879929129195765289628375424767271297097000048058121459184458326702081757018769103034081130217548022119205817117897673166036240790583692383261603668877522632486097518591
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:07:48 2004
Input: b=6233
a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,2^b-1)
(2^b-1)/a
Output: 6233
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
20891180124786511022509376044845660770809724107603297206965793595417322359449678874162226520673022718645521242139198722981676826774467165245362649997843268709493315138402362856802914677435340026575983713253192885019625370270850477664261099178614390712158447737508350698175020401012278735044783873124165724857049192747134626621606785897776127690415596006184625334477797146962104776481133761656265471720758435127603648551576034816676763678694828009978956836084149905894075622665828236031840880990954540613311072744260687972093556141846195399328419896912031234713881141193803378923762885827373477748396708580746720812987613753031592816697107402011709680108958597278541825815681619136207246255620705275486339675293136158604757660770863589400507102055869668658019941935463138382763666697403551643941027870878686828750591358439551354782360392330221378083642990054542826844911399921501018157507673160759265117047672036584131941101955217879456935892207002283679758474971587155418872974945591802688241380429909999930286061041974821284381313319689943650835699357256977915555074656488289462787670103501679169163468520842904519869285953352995424315012700780636862595590382393359070715246663203876088892593873789278821898703586314442782458561854418195526403941335729975118546835191944653763363901567360036590197556714811809983342154285302375102613383418132017340039355086440713239862658914760234129872248077539169654186764929857631628370186262600503667937155028814339621806457449546553497641804786651573460777067768702998738618966277535624264104869183017175013358251776541054553199670200478584002323037385567181934830434846536190570538654012212291765404483162402674239623875580392401101497223795182004448699623342603001740879929129195765289628375424767271297097000048058121459184458326702081757018769103034081130217548022119205817117897673166036240790583692383261603668877522632486097518591/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:08:46 2004
Input: b=3103
a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,2^b-1)
(2^b-1)/a
Output: 3103
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
12476033876379748650436537811686148864650169717821233634667631623415207811960884945024517898715871574020027550093489051769548418171134821274920513549515140478862638069180048491552559957095824996440317656168211815369965710339965574643917567860139210996193171162512688404588791164630027892589252378118637797727456421717523721149528638201445995973293495843743923381648850695208650893711277877219943119203203460242113236136518550994845465694169980338042886166873623048339258569761177427930552798299746616530419255417152692613903229717612813892988487633430819804218420985557276694725295938579577417027409971935647688085403612950575092147484664708730471239203925722067707713812507367867524963246194670601495802497581801518002556462336772927981323376005965783015993713488625171140644146761989410595706435860060000522273344219478154192153189306384174755039158789778694918433668005552002735902342528472543186571706611278879746048616237008683007/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:11:38 2004
Input: gcd(6232,24118)
gcd(6232,43630)
Output: 2
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:11:59 2004
Input: gcd(6232,24118)
gcd(24118,43630)
Output: 2
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:08 2004
Input: gcd(2^1485-1,2^271-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:33 2004
Input: gcd(2^1485-1,2^6233-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:39 2004
Input: gcd(2^1485-1,2^24119-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:47 2004
Input: gcd(2^1485-1,2^43631-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:15:56 2004
Input: gcd(2^1485-1,2^270-1)
Output: 43556142965880123323311949751266331066367
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:17:16 2004
Input: gcd(2^1485-1,2^270-1)
(2^1485-1)/(2^270-1)
Output: 43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/43556142965880123323311949751266331066369
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:17:29 2004
Input: b=270
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 270
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/43556142965880123323311949751266331066369
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:18:13 2004
Input: b=300
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 300
32767
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993/62167301746711205977613015790563010377863960498853610359085068799535547952615030554625
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:18:28 2004
Input: b=3*270
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 810
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/156764265941034957982331212844852467344715016174935345316575546050528400507616703699987815513971786183327585845364882645392028124793366098534006217152981941883280850011548582745515746292434235121276551169
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:19:25 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*270
gcd(2^1485-1,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
810
43556142965880123323311949751266331066367
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/156764265941034957982331212844852467344715016174935345316575546050528400507616703699987815513971786183327585845364882645392028124793366098534006217152981941883280850011548582745515746292434235121276551169
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:19:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3*270
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
810
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/156764265941034957982331212844852467344715016174935345316575546050528400507616703699987815513971786183327585845364882645392028124793366098534006217152981941883280850011548582745515746292434235121276551169
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:20:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=4*270
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1080
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/297403381695556612559612499629980112026258868378658160781931029631421830000065151098319980330222473868290203977022587210047171170618018929727432926977327108411514458210201306990165757371042979508897685989859834585487514467546566868174684131527104776031421017932565450895350342849921025
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:21:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=270
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/43556142965880123323311949751266331066369
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:21:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=330
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
330
46768052394588893382517914646921056628989841375231
1
22887284938275379073209001944560169611929137396979158193228139583587169035699692294076812778010302076359999394867072337560183872498894608839474774135119675215891343788904116939360216959705800194876272353565978947397398978894393822441915136312028790422859625376238392203056611385191248339234111281365321873353732913869888962932995740126287547874181234456859509851450532409157491346435154345616998401/46768052394588893382517914646921056628989841375233
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:21:45 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:22:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297*2
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924673
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*2
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
198
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/633825300114114700748351602689
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:32 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*3
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*4
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
396
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/254629497041810760783555711051574004642498296777127521852603480645228327333563534833352705
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:23:45 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*5
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*6
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924673
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*7
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
693
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/64836180763765514976756372870276686441066226812225988740458169640540600674052389057115025937923143615313550668166939989143897173438947027766904876940129375720181961722848232865793
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*8
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
792
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/41094811730846668025320233460065841380375795224532802150200596241665536182258169911503477984309200375884856833246007351820887458069874518348852992884861716313714131958457878300312502484191453190404826762051585
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*9
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
891
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422894427993827563852761857285882147194366986858197427763748800586851907993436095236859232257
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*10
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
990
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487169
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:24:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*11
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1089
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/10463951242053391806136963369743089385361708403260362253471542077314301899511341243210196736287195251541053951405540496659126086448553028833637005104137546492686207093774034516850711093116446190741836955256038546345868194885664441695241082408741164374325476342052044858233833568301275880677443633153
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1188
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539311325467885474089820295658141389466345803931301827155905509112638194837262201658696375695754355382153846759769135667481784823992871006683732102448703673321797883734175889913544705
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:11 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=99*13
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1287
633825300114114700748351602687
1
1688783551193732919097408580744539682706787430689362139047073162597253218320828301758759254047969067613425749689037745585165433839284387721195135772653162053886564834315815529613376658059978692724706184305427335440615320062158357363219473907637375171708069470071614516696192305673000879156896386113067431901449813442715663969740325822705411518790820310606925697787146494617332618313051090892409123313808257041785946113/4203730336031677396989105882831982776894754019148983630444449465897729008513969347508402685137872284350360232043496726413903498011717337891755735745974274205931710324361147234239403548440898418972505474183478711403835226912605063959063974763598869243133965393802459298013871441569947407669693573711275353118506392124886890580771779615368556337846276136632321
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=27*11
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:25:45 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=27*15
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
405
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/1897137590064188545819787018382342682268018984904820881345796368335399982351777793
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:26:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*15
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
675
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/3599131035634557106248430806148785487095840326637632087555473447502974160917168848737740674099711812639133047613063937284813746400521285507609129381595241355673601
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:26:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*11
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
1
10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037893870413464105776039700249726130642512991882179035405680187303479158420656590188784599791895025386663476142939227016054643927774532184535687225147393
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:26:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:27:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a,271)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:28:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,271)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:28:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,279)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
9
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,11)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
11
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,22)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
22
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:15 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,33)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
33
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:25 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,495)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
495
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,1485)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1485
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,2970)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
2970
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:29:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,5840)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
10
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:30:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,2970)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
2970
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,83)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,23)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:11 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,23)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,89)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:31:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=45*12
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
270
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:32:14 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2971
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2971
1
1
270
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/2291485522242481218523455435925633673818249061213496543031405711844673008871586897923350460526707506892140301417655879461230494418923252864899267409118541202014236432231674003252803012936116507132769987433695942939137068233813485155651514897511695282148749863376213129282916874534872370406450547287886492737799329074995442021520460221425854419083790438070596154562479071919637363373280249168966972236499022251896743204334245408199810253202421132980310530349199928249207676410155466873143674397370693876923636466601299313984553911135249893223382897296329256529941867128164604325424973398077468107726290824140879277551015864468019283456316336542058505306680193514088348802257628591040915961381739467398133961828131412361414321545496967923356832418818191650591201908272430690308387709113081799814481605776912535307414827432494289389440274338191171385813756234737438893094493619189410980552767438847
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:32:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2970
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2970
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
1/1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005633
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:41:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=605
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
605
36028797018963967
1
270
29709394421349682581506748561352511735671146354660589338100334983013513629023005613948464778384569380300882573307093993166583021489688918196401866813659068501513102536575040669092404764718730104149942468572840779882222446639141090173714982987367824047160422081624000906645512302465841101196373427960212127866826591021725392237937370575344338597212696119181702018700622690224769873260735247847462952387481428859660022095212751880193/3685510180489786579091849642250792615912000684889898624914720255407716145155486600418403306861190367061543705438974924831217757453474860337154157767972283841765179393
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:42:19 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
gcd(a-1,270)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
270
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:42:47 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:43:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=594
c=gcd(2^1485-1,2^b-1)
gcd(a,c)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:43:59 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:44:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=594
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=594
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
254629497041810760783555711051172270131433549208242031329517556169297662470417088272924671
1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610714014857848183264531848664905775659841445728338475011852158755297722841532966487411621974192797628329227057074797606307325111690795434123743372373164438254737307772988564885195260944463969295186732839065337027949960574616891200225302259404813906770362071828881336969461761/254629497041810760783555711051172270131433549208242031329517556169297662470417088272924673
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=540
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
540
43556142965880123323311949751266331066367
1
24575035076031532940358863281171583396862728362513314790365575916765207957912681511201102125198422909157027553285716690770684667185847893132167242338962280065214772867671005940116015442137592024015325148142522218605560855869610744164837830457693799150595141396747167070716852399953037910973329719018522335678767420225435368715636338985169554772178538279133973671377691269175260194171005893876399288291950593/82631996098781074868989413504096379978552482508125216599126919196319106247221186247133556125845756402317236903110271565825
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=542
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
542
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431103
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=742
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
742
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/23134322349737717735007099635340311456574291245888123082206428617627187858318938111228919160792924135185595314161942499967986047925275778642956722900885062503881081581426410459731001937860227299113020288850612472756100399103
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:45:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=271
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
271
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/3794275180128377091639574036764685364535950857523710002444946112771297432041422847
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:46:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=371
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
371
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830847
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:46:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=37372
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
37372
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/123879075133365744588114391211583304116112357493847036537652319694609116848192570196161859869148986872103099910161444136016013770875919767199073543811572014844298126150475102039352308618073413195893801562331327377784483825385746059209627330724922832224486954036560953401464616113338671776576120772879987354097292434816721218400574233879304754253520236847287634052731287297418747331410299344957856435301162492748291656531857713621071455572187218754969585109408388023596534796118557218712630691818090914185205360286472902368347689122679336735929117380796833620166927197361354213909166335270410333093333158552018884977748946635951954514276810075857257096646083981768098761814288890407080142674222694059608385008638200680381825312564416720921189045619739936276747951064577360882818554576151269890004999108768389388822765610919482592208934343172530459085443969029395954151340622719532839183519059439823979152014415557206119009031374813779847782103774054490890257011055026284830869041094884217251186363551348949054191263513393574472542809425188460987319657042526113388640874550096157795237549532517878753438738147771348129169054015802742922582024403896249037217576213899556358174455905349779597217908789796151025447694595905780482716067618481310551196772847103243128103381475609430128936418381122600403840212941805096691912460137883352739208231873506845587996236319846023425284840003105643471986096746224543477202374367150576118551542988379303236592785206005366828917042875605330363082194316677423934193536592686653034600080361986499149611315599533061814347838164097759836364918347443312890131202145386887141153514562411618633903753611285422121915343061940164685163541010714114524116317034727575592615341426021569326490378647767585079233825312079442870183720421359669661379333277942839558872658727414652395347842916706644909489971018279771793344755968054667120383533691385086323769419591398421740886989177664264902293388852692312376521045885029430458431071431442907215001250403331188981106987916459157057623563444734676214574432595184702787263935622231950069272880399462225922936579663776253584135551221050515125040970493239777788860595667189728977368189089907588834496405239895479790395691810785256880147021629547997028571696978338198644038350873425554184893239952445375153427010567502489234927743545375347072645781846318244687868630867826818994341317385538825572626461742278754891384561737605426317164335281408909194541939629142138621029444497601120172153713377673780502210556412987915338166573158933947918508896098801097891652695911488778670749421649600517335596165499372706897854276785257014529087526256952017813919465141309092473948357925180419001952362460883583433058009180046093800758568969952455920634510000779228012443469640513546817101863364661029488804500877921899304019798588198918404619266174507662962250162783761573004837028040186882298111947900500460955817972883002603175863094830045964308606872205790849665480137158034519050719167456890460660310703702836033930198479319754135099493342824349135803826360103056382733359719751961477982238990350112002934210701855623525093638350654706334176508531856795888778023086459072494503087317770597945881132232836929170856203800419720102844754667482652881247976517037239106860397572806226242479398455595770644755355640421282531228245674093966570397774987753345859869905752368115709467714193123592845386023861255774339150880616376326876691854929231512881967500270278448800116350292704282918722871287619255620195802491294541334100020034312599224522019072434821789715002650225190756918877151528226781678285796927349952077647581056158752255405658325624262167900582034594451997367216907173239671324119693498519356086530314695710756839801987045656059411911330126810334692451002160095097860522558680116824343827141598417598319524479490961315113583741164473336595066537599170029388079845868112971520251581188977922579266606611344226794584114575662269514699953601350097657786158189758907778412476352197942946243118896075237614227907509300789504557717103581967046437615785814419335851458876761394511776008007246985679392869460755009192470697317201024647015537980881327034343693488149186262112998864450815658542780070283448200615105118933815859530527526742530603924168483245756111405061591713777657637758341973719437497194787753322340946114851740407236156631287137325947400900858920635308283953408737845345947922160379778503437830826941269346739448882868404251331060162809819721694560234630262337659267165724473767079337074905433942804095327502279524086840915913390673239435733990884385184346949915113477716364546372556894720229218377330752588289878719358129155129872241388220359626892673247829805669993980370768354302589312860049998398903560161841395955239969159287001945244142770811962331581371889573671520488116236408675253498159661565895752568416483886334979532579054990345401546484154356231580391397134394632958591832003261268308985177002744945303571466851473440445577351373071352309141756215207363133466612207508463770938250269615600089379222248398247533970318979312284052508429537474331175442777596268071062598288085794607745455483493749906742576912918402977481127971401965322375354063884943076515622630245568262738200718046348899417823454609584439993241042647457051095263145219408103681259098424494861089365851576944146372391240356581992811530250961204051284222065164242913438633799682848119818269234318549104141845470976894490383590018313158471646520749777881483941248542766441269835234576720210431808312152440305304564678512143323485301728385105975208378246125359806852551211894727684791929917187495801990697158324924597760107691027103933272969341654370926821689162336821278911359086891255903189880752778317089064324093457913588665805865303801654789955172308187233656555048238319886411068617437999617062095580465603593666239121956284809573344379258009366542587355927708272105400192832582303084334837073181864043047615184822021467925448866506635892876979967505221604083592967377998125417731237487305810751178641967923781199216398125122034972568753007492117723808170058818909134150889285576726423919859490674274450095223284414573631189721838096708458070383592691829650011267604390844605633801769360921701022028090508671677133019619607137785655105618011862009448119720073934291516438715983945442214152292483169746709252790595507278217549017728739902175665979258218439767685825155262741159777256566622307895975498564645673198038206453178318297118819824205874041583222417828021255509242487848156166345742637615370303032424446703160161025761709991602760660709135028271997684909598368656204000888036894109388269244715009747796296937797801916497030386417014561804857817762239739632797651700805858232274235822587890980387952887050478853920407369776469814346980666597348438858720250906017288459593945653638979543810459332375496014942118365627557273620638663693899879415565562754275479017289372194053185263271134929919383198289386071084127006014635668803422262274664018164903981075139518111022181084988282321374649810963823444762940495144737866725846573422390712633304715882664972565344590619604661150588729388051657874520151337690912003322205352946955277898567442689908602880538624633080295002666293384429267048577604773125325457695012121804009229836540778855586748953895264643557762251702614702932058659634149799428974048139387992231827871172908495045435132595417521936643847838046151293987769943826266964969057005428155381726993398974288817432315795794272312674538645895414596047224715640960500602949195747178287423213193121625314210397191629787350845266497990890635509209217705557833365503026078865123787469068131967996796005887524481323712652093235116142810040343121479482959840342632088331709262259386970827221214412603114199450411863839923531928457968669140147408708155453007004147789210136738863616123824384526147970975043385138882182318116336170534380826318917009802346307996977004457721889068674486927659013145443065355218709109345272227111509526413093251675841289862219597728951513747412691136196233179514422242330331775522232644319909489277447931285393196177894095809553812167479910236827504711126733587141331418196489779235490502456616696008578248294770607584120323820126597048591664995012159595322456128304792228997746279171309825615388073499781898023698128028861827792211420001882132807407165719578525353220706921067017582167273358223211975262825127121085299201556541894293014053919550140724252801238432206889464592040485419050092751806455237732767169532990795702252583687927464214431102666118454547041200029172891703970050497103299971600424159156058128209271443808401550896541670492075634379161025890456130500431384208869726034529725491403016613461607771859121801518647266473618081526946093765713391184300548634762831565828704262526622395664374146700936029702464022518004882911072224483912756472234995812350705151820591580843329927865771010177607113003398658316579158093053066814402639931945656240800476754554673927024349694862671725253971243583934275282662564690789940926576314847001218214746470746991412103500626192802369395205287218226442492568182686664047333209310076413928696684731614002870569015161491213309504941384987444595747015428264183207316196216046851192280712923809290744852642654490956965575569436440170326627161777070350159951985727884429771575961753885036551803884631767831837774581869545769018687369638328119255091030779811114425578949471774846632468214213988857811358327683325314726128292737110157909767614659899855465684639296179447382
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.100s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:46:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=372
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
372
7
1
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/1374232917005945843062187503492732066304399388618354027202437688485132595267062312061044442483430372516972237385
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:47:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=506
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
506
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/102343428874134381866557958278928356493339077160115362250576769691330025876843757456047526091283764561630067310290104809276944024883568712952137648129
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:47:51 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=507
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
507
7
1
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/59856285401529451337384040170561813069104311699073184721980185016615017991399763289294081688245104587901927938332527012739972691124761472975150218777161
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:47:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=508
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
508
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/837987995621412318723376562387865382967460363787024586107722590232610251879596686050117143635431464230626991136655378178359617675746660621652103062880255
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:48:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=509
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
509
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760511
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:48:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=510
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
510
32767
1
32666821532735622887051059724209737869179354188413242575906706355274481219019654243893311156523363868929825256866826237702231459004728707209647525705515424886096850137146554219327365635615411021118072961787647089987248331697917934414240070812362562996455766646482901915199315570791954236619672983260728569578120620990327055072008967700282443436257272411116465020644087123208536323505371769602090374843755675052748236185533469635173418453204993/102296578340575862144642666388484192384711491901855474850639068603486465270497352342309902479376380410855676886703741957256949696431978590856911290369
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:48:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=511
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
511
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/6703903964971298549787012499102923063739682910296196688861780721860882015036773488400937149083451713845015929093243025426876941405973284973216824503042047
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:48:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=512
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
512
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084095
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:48:47 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=513
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
513
134217727
1
7975054898397647243273625651425168903057044757521014489276331189420894649062392560184334865585982274109168785072297456883538328861789959750536681900391771105188925516849805853921962109984250984439454087453707453990873843994882113872718202121756123181141833117955463863989709595574807823047970590669474629378623573233288674405464472249892555728319270710753827691713515627977920604424335965505895471709972723680929281830941565561870433124353/199791908708789221256503993667033954873626578709567825980595863372380967680573922650349670996393843380912446210424738467724965761220894017173061633
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:49:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=514
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
514
1
1
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/53631231719770388398296099992823384509917463282369573510894245774887056120294187907207497192667613710760127432745944203415015531247786279785734596024336383
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:49:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=515
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
515
31
1
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089231422893945177960469409526209849748530754885648108877404378303305037677601/3460079465791637961180393547924089323220481502088359581348015856444326201309302445626290141462426691016782415015867367962259066532115243857144167485441057
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:49:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=516
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
516
7
1
152913391594735450734286010569025782965628556955962388497819292449039846586231001515664589523685866270460512027393613618684145459601135078448360067827517703891819355491983020300671398540315738989853699534127976028230309440677953850993057771472669157386409443672186463865047996186877137781616689234643470434195182626855720944792073977805022117725120292156436172761634971823739158530328645253507385044643620314921914493584482171362246771779452572233/30646418125583079084740628567327648291381407589925470577653854728506889211596678804118569824381493549005787104426253830522866017855877874163276912013906505
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:49:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:53:14 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log(a)/log(2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:53:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log(a)/log(2)
log(2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
0.6931471805599453094172321214
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:53:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log10(a)/log(2)
log10(2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info: *** expected character: '=' instead of: log10(a)/log(2)
^-------
*** unknown function or error in formal parameters: log10(2)
^--------
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:53:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log(a)/log(2)
log(10,2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info: *** invalid flag in log.
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:54:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log10(a)/log10(2)
log(10,2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info: *** expected character: '=' instead of: log10(a)/log10(2)
^---------
*** invalid flag in log.
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:55:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log(10,a)/log(10,2)
log(10,2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info: *** impossible assignment I-->S
*** invalid flag in log.
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:55:15 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lg(10,a)/log(10,2)
log(10,2)
b=517
c=gcd(2^1485-1,2^b-1)
gcd(a,2^b-1)
(2^1485-1)/(2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
517
2047
1
522908520353272181309234037119286995974303809815210903509885220880937433367668300248975147369712293059708639077555102750751840848660452149066204433215742026010129696357538418224083922707479322388361454195845545773137355195283672182194139912217236981780589206499904859333334623013258409609827466850270783116446643081577941677354429821512044369358007838346386521412527993535014220670395953480484462780901486177065657769951819833676466733002524673/209599342334227214062710698555245274098358430023916261889181224327843892995776015269985333434949149822218377851474134649399181362961548724125977903368193
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: lg(10,a)/log(10,2)
^------------------
*** invalid flag in log.
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:55:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log(a)/log(2)
log(10)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
2.302585092994045684017991454
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:56:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
log(a)/log(2)
log(2)/log(10)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
0.3010299956639811952137388947
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:57:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))/log(10)
log(2)/log(10)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
194.6205123756057669882789232
0.3010299956639811952137388947
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:57:35 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))/log(10)
2^194.6205
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
194.6205123756057669882789232
3.860186353855094771000689092 E58
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:58:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))/log(10)
2^194
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
194.6205123756057669882789232
25108406941546723055343157692830665664409421777856138051584
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:58:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^194
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
25108406941546723055343157692830665664409421777856138051584
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:58:19 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
726838724295606890549323807888004534353641360687318060281490199180639288113397923326191050713763565560762521606266177933534601628614656
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:58:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448.13
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
7.953750378290738705297492042 E134
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 19 23:58:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448.13029
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
7.955349343689897702933568305 E134
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:02:45 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448.13029
gcd(2^34506-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
7.955349343689897702933568305 E134
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:04:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448.13029
gcd((2^3585)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
7.955349343689897702933568305 E134
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:04:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448.13029
gcd((2^86041)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
7.955349343689897702933568305 E134
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:05:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(log(a)/log(2))
2^448.13029
gcd((2^86041)-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
448.1302905869330238847777930
7.955349343689897702933568305 E134
1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:33:51 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
a/271.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2.935554457628432351089010596 E132
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:34:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
a/270.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2.946426881545574693130081005 E132
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:34:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
mod(a,2790)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info: *** obsolete function: mod(a,2790)
^-----------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:34:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
a % 2790
Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:35:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
a mod 2790
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
amod2790
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:35:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
mod(2790,2790)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info: *** obsolete function: mod(2790,2790)
^--------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:35:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Mod(a,2790)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Mod(2521, 2790)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:35:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Mod(a,2790)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Mod(2521, 2790)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 00:36:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Mod(2790,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Mod(2790, 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 02:13:16 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431.0/((1.0)*2^1485-1)
Output: 7.432174044224447859002000518 E-313
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 02:14:33 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431.0*271*631*713*199*3473*8950393/((1.0)*2^1485-1)
Output: 5.605366530026106492786175616 E-292
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 02:15:05 2004
Input: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431.0*2047*271*631*713*199*3473*8950393/((1.0)*2^1485-1)
Output: 1.147418528696343999073330148 E-288
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 02:24:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a-1)/80190
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:04:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a-1)/334202934764737951438594746151
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430/334202934764737951438594746151
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:04:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a)/334202934764737951438594746151
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/334202934764737951438594746151
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:04:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a*1.0)/334202934764737951438594746151*1.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2.380395787300078488096693191 E105
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:05:00 2004
Input: (2^495-1)/334202934764737951438594746151
Output: 306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:06:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a*1.0)/306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617*1.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2599093109603173.325508547184
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:07:09 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((a*1.0)/306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617*1.0) *271
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
704354232702459971.2128162869
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:07:30 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((a*1.0)/306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617*1.0) *271*8950393
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6304247193900468809123392.405
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:08:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((a*1.0)/306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617*1.0) *271*8950393*89
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
561078000257141724011981924.0
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:09:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((a*1.0)/561078000257141724011981924.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info: *** expected character: ')' instead of: ...78000257141724011981924.0
^
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:09:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a*1.0)/561078000257141724011981924.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1.417869276023497298209552165 E108
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:09:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(a)/561078000257141724011981924
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/561078000257141724011981924
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:11:58 2004
Input: 306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (271*8950393*89)
Output: 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153/2425556503
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:12:18 2004
Input: 306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (271*8950393*89)
271*8950393*89
Output: 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153/2425556503
215874528767
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:12:32 2004
Input: 306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (8950393*89)
271*8950393*89
Output: 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153/8950393
215874528767
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:12:46 2004
Input: 306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (271*89)
271*8950393*89
Output: 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153/271
215874528767
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.000s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:12:54 2004
Input: 306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
271*8950393*89
Output: 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
215874528767
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:14:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:14:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
231319286754682425.9702606994
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:15:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:16:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
231319286754682425.9702606994
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:16:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a/b)*8950393
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
2070398524934102302627239.572
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:17:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a/b)*8950393*271
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:18:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a/b)*8950393*271
a/((8950393*271*1.0)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
3.279805095059146753008899897 E125
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:18:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a/b)*8950393*271
a/((8950393*271)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/2425556504
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:20:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a/b)*8950393*271
a/561078000257141724011981924.0
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1.417869276023497298209552165 E108
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:20:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a/b)*8950393*271
a/561078000257141724011981924
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/561078000257141724011981924
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:21:48 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:22:30 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/b
gcd(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:22:58 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/b
gcd(a*271*8950393,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:23:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/b
gcd(a*271*8950393,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:23:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/b
gcd((a*271*8950393),b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:25:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/b
gcd((a*271*8950393),b)
divrem(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1
Errors (if any) and Timing Info: *** incorrect type in gdiventres.
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:25:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a*271*8950393)/b
gcd((a*271*8950393),b)
divrem(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
[231319286754682425, 3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406]~
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:26:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a*271*8950393)/b
gcd((a*271*8950393),b)
ab
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
ab
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:26:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a*271*8950393)/b
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:27:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89.0)
(a*271*8950393)/b
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3.439122042862695852475109511 E117
561078000257141724011981924.0
1
231319286754682425.9702606994
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:28:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a*271*8950393)/b
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:33:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/271
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/8950393
(a*271*8950393)/b
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/271
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/8950393
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:33:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/8950393
(a*271*8950393)/b
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/8950393
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:33:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
(a*271*8950393)/b
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:34:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(c*1.0)
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
59779141520872986.48669658524
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:38:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(d*1.0)
gcd((a*271*8950393),b)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
392463059550079172.1517906248
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:38:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(d*1.0)
gcd((a*271*8950393),d)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
392463059550079172.1517906248
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:38:43 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(d*1.0)
gcd((a*271*8950393),b*89)
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
392463059550079172.1517906248
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:39:11 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(d*1.0)
gcd((a*271*8950393),b*89)
(a/b)*271
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
392463059550079172.1517906248
1
215590054922689700296328027190151084445892795228626605507885007135347020953353087984354898029753072554033658090297150048542499164611962801/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:39:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(b*1.0)
gcd((a*271*8950393),b*89)
(a/b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
231319286754682425.9702606994
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:40:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(b*1.0)
lcm((a*271*8950393),b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
231319286754682425.9702606994
6636183951574554428218211869551069943583053759617858795704448946747485991633684821623943135715885976997726731979168598987035824377952519863847004399462411865468085582676835119695881683823639934122987457319341209146742658592247727135301176325112354944195207174329
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:41:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(b*1.0)
lcm((a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
231319286754682425.9702606994
Errors (if any) and Timing Info: *** expected character: ')' instead of: lcm((a,b)
^---
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:41:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(b*1.0)
lcm(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
231319286754682425.9702606994
2735942841721776385358528120650038694886281838810604197128632689183528779512288616277162493178121597028707408338270567588190224228288166933642858287792445569538680659082067617245641910253055001342505298595116342728521735282885606369773022073818230464943
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:41:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(b*1.0)
2735942841721776385358528120650038694886281838810604197128632689183528779512288616277162493178121597028707408338270567588190224228288166933642858287792445569538680659082067617245641910253055001342505298595116342728521735282885606369773022073818230464943/a
lcm(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
231319286754682425.9702606994
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
2735942841721776385358528120650038694886281838810604197128632689183528779512288616277162493178121597028707408338270567588190224228288166933642858287792445569538680659082067617245641910253055001342505298595116342728521735282885606369773022073818230464943
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:43:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
c=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/23
d=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/151
a/(b*1.0)
2735942841721776385358528120650038694886281838810604197128632689183528779512288616277162493178121597028707408338270567588190224228288166933642858287792445569538680659082067617245641910253055001342505298595116342728521735282885606369773022073818230464943/a
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
13307907035425214385664554195180470762312669721604343560489914937769273978149081632541959371243490036577261652930839679
2027032197448873714372746665491065083001267573489403323783232076613862923824032301645464010189405767160774953757677567
231319286754682425.9702606994
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:43:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
a/(b*1.0)
2735942841721776385358528120650038694886281838810604197128632689183528779512288616277162493178121597028707408338270567588190224228288166933642858287792445569538680659082067617245641910253055001342505298595116342728521735282885606369773022073818230464943/a
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
231319286754682425.9702606994
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:43:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
a/(b*1.0)
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553/a
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
231319286754682425.9702606994
932002073615790576020754677511908699567358094098425543961052132664223423660710402422854300684951386494225526772111502463
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:45:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
a/(b*1.0)
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553/a
gcd(a,741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553)
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
231319286754682425.9702606994
932002073615790576020754677511908699567358094098425543961052132664223423660710402422854300684951386494225526772111502463
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:54:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a*271*8950393)/(b*1.0)
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553/a
gcd(a,741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553)
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
561078000257141724011981924.0
932002073615790576020754677511908699567358094098425543961052132664223423660710402422854300684951386494225526772111502463
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:57:50 2004
Input: a := 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b :=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
x := a mod b
print(x)
Output: x
Errors (if any) and Timing Info: *** unexpected character: a:=7955352580173051671
^--------------------
*** unexpected character: b:=3439122042862695852
^--------------------
*** unexpected character: x:=amodb
^------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:59:22 2004
Input: a:=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
x := a mod b
print(x)
Output: x
Errors (if any) and Timing Info: *** unexpected character: a:=7955352580173051671
^--------------------
*** unexpected character: x:=amodb
^------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 04:59:33 2004
Input: a:=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b:=0
x:= a mod b
print(x)
Output: x
Errors (if any) and Timing Info: *** unexpected character: a:=7955352580173051671
^--------------------
*** unexpected character: b:=0
^--
*** unexpected character: x:=amodb
^------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:00:18 2004
Input: a:=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b:=2
x:= a mod b
print(x)
Output: x
Errors (if any) and Timing Info: *** unexpected character: a:=7955352580173051671
^--------------------
*** unexpected character: b:=2
^--
*** unexpected character: x:=amodb
^------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:01:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
c=Mod(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Mod(3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406, 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153)
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:02:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
c=Mod(a,b)
c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Mod(3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406, 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153)
Mod(3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406, 3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153)
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:02:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
c=a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:02:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a)/(b*1.0)
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553/a
gcd(a,741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553)
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
231319286754682425.9702606994
932002073615790576020754677511908699567358094098425543961052132664223423660710402422854300684951386494225526772111502463
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:03:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a)/(b*1.0)
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
231319286754682425.9702606994
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:03:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
a-(231319286754682425*b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:06:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(231319286754682425*b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305163808276912866069989800332129155936781737306897915632358435899928602563212692538098638939355507280762005195322757086025
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:06:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
a-(231319286754682425*b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:07:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
a-(231319286754682425.0*b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
3.336844958683089014 E117
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:07:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
a-(231319286754682425*b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
3336844958684303015535065639215379105745663608118858493790495230011292499594373608202513257372044514926695818071740406
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:08:11 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
a/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:08:45 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:09:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/(b+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891154
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:09:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393.0)/(b+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
561078000257141724011981924.0
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:09:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393.0)/(b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
561078000257141724011981924.0
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:10:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/(b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:10:09 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/(b+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891154
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:10:14 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/(2*b+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/6878244085725391704950219022228108483891941653862919143624000979071759584211884888729552034575286985197236359941782307
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:10:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/(b+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891154
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/(6b+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
Errors (if any) and Timing Info: *** expected character: ')' instead of: (a*271*8950393)/(6b+1)
^----
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((6*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/20634732257176175114850657066684325451675824961588757430872002937215278752635654666188656103725860955591709079825346919
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((8*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/27512976342901566819800876088912433935567766615451676574496003916287038336847539554918208138301147940788945439767129225
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((10*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/34391220428626958524751095111140542419459708269314595718120004895358797921059424443647760172876434925986181799708911531
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((12*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/41269464514352350229701314133368650903351649923177514861744005874430557505271309332377312207451721911183418159650693837
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((14*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/48147708600077741934651533155596759387243591577040434005368006853502317089483194221106864242027008896380654519592476143
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((16*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/55025952685803133639601752177824867871135533230903353148992007832574076673695079109836416276602295881577890879534258449
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:11:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*271*8950393)/((17*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1929615718449657434704352300266537935166927753164732969551535412669160028911744805223554188841215692316114975135788979714424444725448759570330793/58465074728665829492076861688938922113081504057834812720804008322109956465801021554201192293889939374176509059505149602
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:12:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a)/((38*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/130686637628782442394054161422334061193946891423395463728856018602363432100025812885861488656930452718747490838893863815
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:12:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((38*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
6087349651439011.209743702616
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:12:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*b)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
14457455422167651.62314129371
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:13:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*8950393)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
5.555169843255313788245164788 E126
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:13:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*8950393*271)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
2.049878185204263579293640237 E124
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:13:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*8950393*271*101591)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
2.017775378977550029005590990 E119
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:13:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*8950393*271*101591*635009)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
3.177553985813666484708399639 E113
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:14:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*8950393*271*101591*635009*334202934764737951438594746151)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
9.507857817138872799547169971 E83
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:14:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((16*8950393*271*101591*635009*334202934764737951438594746151*89)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1.068298631139199190960356176 E82
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:14:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((991*8950393*271*101591*635009*334202934764737951438594746151*89)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1.724801018993661660480897964 E80
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:16:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((3936817*991*8950393*271*101591*635009*334202934764737951438594746151*89)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
4.381206997921573851364942704 E73
Errors (if any) and Timing Info:
Timing:
real 0m0.085s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:16:25 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
(a*1.0)/((3050*3936817*991*8950393*271*101591*635009*334202934764737951438594746151*89)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
1.436461310793958639791784493 E70
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:22:20 2004
Input: b=2^495-1
b/991
b/334202934764737951438594746151
Output: 102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:24:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
b/991
b/334202934764737951438594746151
gcd (a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:24:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
b/991
b/334202934764737951438594746151
(a*1.0)/(b/991)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
7.706997765982841677504320429 E-12
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:25:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
b/991
b/334202934764737951438594746151
(a*1.0)/(b/334202934764737951438594746151)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537
306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617
2599093109603173.325508547184
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:27:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/991
c/23
c/89
c/271
c/8950393
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537
4487932983668425983324361778873446826076868509579510142208259345106137021789412531922177439792239060718870218004924854957137685563941496640043719
1159802905891840422656857538360553674154696356408188014278538931881361252821983013867529001294623577489146236113632265887799626606411847446303433
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537/271
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537/8950393
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:29:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/991
c/23
c/89
c/6169
c/8950393
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537
4487932983668425983324361778873446826076868509579510142208259345106137021789412531922177439792239060718870218004924854957137685563941496640043719
1159802905891840422656857538360553674154696356408188014278538931881361252821983013867529001294623577489146236113632265887799626606411847446303433
16732445878484972866989839668356180418182521595125422802851347858233287648104472075573039571279218414092075703373848543364267590852756430980873
103222458624373797616460320914089276999767975720328733270789964937441151501156488234210081115221498396534015014113271664014166767970654422721005537/8950393
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:29:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/6169
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
16581853865578608111186931111340974794418878900769293997625685727509188059271531826892882215137705448365247022043483906473989182535081623102045143
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:29:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/6169
(a*1.0)/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
16581853865578608111186931111340974794418878900769293997625685727509188059271531826892882215137705448365247022043483906473989182535081623102045143
4.797625551801024249094263646 E-11
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:30:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/635009
(a*1.0)/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
161089774313048214179503248026189350870255482896849926018927062849509504806461136519485850413434305515300112091303040144372818758567073116942463
0.000000004938459076063570444793482353
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:30:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/635009
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
161089774313048214179503248026189350870255482896849926018927062849509504806461136519485850413434305515300112091303040144372818758567073116942463
202492312.8039964896952785807
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:31:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= b/(635009*334202934764737951438594746151)
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
482011848359282987910855982339070513226098218445565183944271724603420268842534322424509047176654615668875587617513
6.058962736115435019768812405 E-22
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:31:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/991)/(635009*334202934764737951438594746151)
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
6.113988633819813339827257724 E-25
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:32:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/991)/(334202934764737951438594746151)
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
308861616362038275348420531270586102455289004638647731474538893611194047928787969271912276022805520526011118080130487
3.882437808373285849110367100 E-19
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:32:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(334202934764737951438594746151)
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
482011848359282987910855982339070513226098218445565183944271724603420268842534322424509047176654615668875587617513
6.058962736115435019768812405 E-22
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:32:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
6.113988633819813339827257724 E-25
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:33:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009*625321)/(991*334202934764737951438594746151)
c/(a*1.0)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
304149476314707565371750124855953493845667975839151631068835458224758189639639157449865208768469062487060495786650703
3.823205486488839497474120627 E-19
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:33:32 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009*625321)/(991*334202934764737951438594746151)
(a*1.0)/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
304149476314707565371750124855953493845667975839151631068835458224758189639639157449865208768469062487060495786650703
2615606206713156085.987095149
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:33:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009*)/(991*334202934764737951438594746151)
(a*1.0)/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
7.955352580173051671451218715 E134/c
Errors (if any) and Timing Info: *** unexpected character: c=(b/635009*)/(991*3342029347647
^--------------------
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:33:48 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
(a*1.0)/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
1635593488788077476845536.325
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:34:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
(a*8.0)/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
13084747910304619814764290.60
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:34:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
1635593488788077476845536.325
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:34:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)*8
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
13084747910304619814764290.60
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:35:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)*104
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
170101722833960057591935777.8
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:35:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)*1040
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
1701017228339600575919357778.
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:36:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)*1040
a/(1701017228339600575919357778+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
1701017228339600575919357778.
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1701017228339600575919357779
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:36:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)*1040
(a*1.0)/(1701017228339600575919357778+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
1701017228339600575919357778.
4.676820697423765698118217634 E107
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:36:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2^495-1
c= (b/635009)/(991*334202934764737951438594746151)
((a*1.0)/c)*2080
(a*1.0)/(1701017228339600575919357778+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167
486389352532071632604294634045479831711501734052033485312080448641190987732123433324428907342739269090691813943
3402034456679201151838715557.
4.676820697423765698118217634 E107
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:48:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=306081861814779930870284746489150827533191403596899901891268043568693301497428877548465065538600270841277018017409312617/ (89)
(a)/(271*89*8950393)
lcm(a*271,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3439122042862695852475109511114054241945970826931459571812000489535879792105942444364776017287643492598618179970891153
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/215874528767
741440510106601400432161120696160486314182378317673737421859458768736299247830215011111035651270952794779707659671323816399550765866093239017214595991752749344982458611240324273568957678577905363818935919276528879429390261661999326208488982004740455999553
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:57:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=199
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
199
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:58:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6169
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6169
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:58:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
495
1
Errors (if any) and Timing Info:
Timing:
real 0m0.087s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:58:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=495+271
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
766
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:58:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=635009
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
635009
1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:59:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=297
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:59:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1485
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:59:14 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1188
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1188
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:59:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=8401
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8401
1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:59:43 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=511
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
511
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 05:59:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=393113
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
393113
1
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 06:00:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1897
gcd(a,2^b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1897
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 07:38:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
gcd(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 07:38:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
gcd(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 20 07:39:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
gcd(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
363733969145146151488695111649569937234008802011844981015524350652536000247938783447228179028384822892286372553222453042873503460511691821673187641021460648025949263768749783586241987879773576684481
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 220-136-171-93.dynamic.hinet.net. (220.136.171.93)
Time: Tue Jul 20 08:38:18 2004
Input: factor(10^64+1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.027s
user 0m20.860s
sys 0m0.140s
************** PARI *****************
Host i111028.ap.plala.or.jp. (218.47.111.28)
Time: Tue Jul 20 12:10:29 2004
Input: factor(13747752321728679995707324065371137717)
Output:
[13747752321728679995707324065371137717 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host i111028.ap.plala.or.jp. (218.47.111.28)
Time: Tue Jul 20 12:10:46 2004
Input: factor(754993970727815294680343917937805369161805137527893698330319252874619963080619076996101)
Output:
[754993970727815294680343917937805369161805137527893698330319252874619963080619076996101 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.117s
user 0m0.100s
sys 0m0.010s
************** PARI *****************
Host i111028.ap.plala.or.jp. (218.47.111.28)
Time: Tue Jul 20 12:11:01 2004
Input: factor(53006618019086698414143574579147)
Output:
[53006618019086698414143574579147 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host i111028.ap.plala.or.jp. (218.47.111.28)
Time: Tue Jul 20 12:11:32 2004
Input: factor(45170739181216532842550406375567476783907764256353010839594573481785115842469425710359529501499143)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.979s
user 0m20.850s
sys 0m0.150s
************** PARI *****************
Host ws23.fas.harvard.edu. (140.247.31.123)
Time: Tue Jul 20 13:43:29 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 20:52:13 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a/271
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
4964949526762678784360573131452992391446801567411384419489138584961919228174013394304235771836159780432397849885435256206831449059317755450782390789513816104622612422428592959046170470725572685743607769420789644252023303691000663823201441835533124506501841899511985969209041125038761973200663370152838096518831
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 20:55:21 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a/271
(2^1485-1)/271
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
4964949526762678784360573131452992391446801567411384419489138584961919228174013394304235771836159780432397849885435256206831449059317755450782390789513816104622612422428592959046170470725572685743607769420789644252023303691000663823201441835533124506501841899511985969209041125038761973200663370152838096518831
3949792402816044852915136804365979633798523611408622581124483568794387181194158710736723714633952265288647912146698506755679034011837437450695647508459866890194595898316904583412176346059816136269283751804043661245801350866220210173252414761286657201862974559798174343377623517742213891038069463625477096086222429475978031784297113817841899719837055516955915901592047242679609260930998216880264558348728200016433215701444188928176115876222022161
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:51:51 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a/271
(2^1485-1)/(981183*864761)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
4964949526762678784360573131452992391446801567411384419489138584961919228174013394304235771836159780432397849885435256206831449059317755450782390789513816104622612422428592959046170470725572685743607769420789644252023303691000663823201441835533124506501841899511985969209041125038761973200663370152838096518831
176827344890363291978114196372206636244729534467861511443993533992675255459289909600068214828936395455461696384774074708138023638440141355181790191541382768061718041738680421874565803199168023291815541559029576990903046553530922244404011942574502269860006919451948531287891100762958942160454378995634019612581028315171152428002735990412405413432289721849662707686441654773676378248242745976642546373672749250858808958295392797966428610655953/140169
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:52:38 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
a/271
gcd(a,6233*24119*981183*864761)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
4964949526762678784360573131452992391446801567411384419489138584961919228174013394304235771836159780432397849885435256206831449059317755450782390789513816104622612422428592959046170470725572685743607769420789644252023303691000663823201441835533124506501841899511985969209041125038761973200663370152838096518831
12391160369
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:53:10 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
c=gcd(a,6233*24119*43631*981183*864761)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
12391160369
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:54:29 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631*981183*864761
c=gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5565416886152291555343831
12391160369
1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:55:27 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631**53929*168833*981183*864761
c=gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info: *** unexpected character: d=6233*24119*43631**53929*168833*981183
^--------------------
Timing:
real 0m0.067s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:56:02 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631**53929*168833*981183*864761
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info: *** unexpected character: d=6233*24119*43631**53929*168833*981183
^--------------------
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:56:20 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631*53929*168833*981183*864761
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
50673092125477569130170112121677167
2465840913431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:57:01 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631*53929*168833*19323*238751*981183*864761
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
233774512150978123160236954297937862801311691
2172405844732711
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:57:19 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631*53929*168833*19323*238751*981183*864761*2172405844732711
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
507853116546323041642105839540461509319036077784934094424301
2172405844732711
1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:57:28 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = 6233*24119*43631*53929*168833*19323*238751*981183*864761*2172405844732711
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
507853116546323041642105839540461509319036077784934094424301
2172405844732711
1
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:58:16 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = (2^11-1) * (2^135-1)
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
89159424651156612442819561140842179692853249
89159424651156612442819561140842179692853249
1
Errors (if any) and Timing Info:
Timing:
real 0m0.085s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 21:59:54 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d = (2^11-1) * (2^27-1) * (2^135-1)
gcd(a,d)
gcd(b,d)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11966775317306008443095158967461364224100321225345023
89159424651156612442819561140842179692853249
1
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:48:36 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a,19822843)
gcd(b,19822843)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:49:00 2004
Input: a=1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(a,271)
gcd(b,19822843)
Output: 1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1345501321752685950561715318623760938082083224768485177681556556524680110835157629856447894167599300497179817318952954432051322695075111727162027903958244164352727966478148691901512197566630197836517705513033993592298315300261179896087590737429476741261999154767748197655650144885504494737379773311419124156603201
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:49:30 2004
Input:
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,271)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
215590054922689700296328027190151084445892795228626605507885007135347020953353087984354898029753072554033658090297150048542499164611962801
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:49:50 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,271)/981183
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
215590054922689700296328027190151084445892795228626605507885007135347020953353087984354898029753072554033658090297150048542499164611962801/981183
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:49:58 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,271)/6233
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/23
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:50:16 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
780565671067193535814952113293409636494001588563872836428203450022439837860051080914218789348808889253816999062775013195863745231850404047873
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:50:34 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)
19822843*b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
780565671067193535814952113293409636494001588563872836428203450022439837860051080914218789348808889253816999062775013195863745231850404047873
15769770520641531611406509075609210676201752304974960540980589514752264748620031685162559409316621719580141037046642910552399777740716215963333
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:51:25 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
19822843*b
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
15769770520641531611406509075609210676201752304974960540980589514752264748620031685162559409316621719580141037046642910552399777740716215963333
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:51:51 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
19822843*b/271
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
15769770520641531611406509075609210676201752304974960540980589514752264748620031685162559409316621719580141037046642910552399777740716215963333/271
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:52:00 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
19822843*b/89
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
15769770520641531611406509075609210676201752304974960540980589514752264748620031685162559409316621719580141037046642910552399777740716215963333/89
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:52:08 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
981183*b/89
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
780565671067193535814952113293409636494001588563872836428203450022439837860051080914218789348808889253816999062775013195863745231850404047873/89
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:52:14 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
981183*b/23
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
780565671067193535814952113293409636494001588563872836428203450022439837860051080914218789348808889253816999062775013195863745231850404047873/23
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:52:21 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
981183*b/271
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
780565671067193535814952113293409636494001588563872836428203450022439837860051080914218789348808889253816999062775013195863745231850404047873/271
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:52:26 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
981183*b/3
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
260188557022397845271650704431136545498000529521290945476067816674146612620017026971406263116269629751272333020925004398621248410616801349291
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:52:53 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
327061*b/3
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
260188557022397845271650704431136545498000529521290945476067816674146612620017026971406263116269629751272333020925004398621248410616801349291/3
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:53:01 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,981183)/b
327061*b/7
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
981183
37169793860342549324521529204448077928285789931612992210866830953449516088573860995915180445181375678753190431560714914088749772945257335613
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:54:35 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,1003963)/b
327061*b/7
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1003963
37169793860342549324521529204448077928285789931612992210866830953449516088573860995915180445181375678753190431560714914088749772945257335613
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:55:10 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,1003963)/271
327061*b/7
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
798687964244827747522517989527327133555541949727371412345065518149905539473768362627442422474704737935665289584166043004372225419931070146053/271
37169793860342549324521529204448077928285789931612992210866830953449516088573860995915180445181375678753190431560714914088749772945257335613
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:55:22 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,271)
327061*b/7
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
215590054922689700296328027190151084445892795228626605507885007135347020953353087984354898029753072554033658090297150048542499164611962801
37169793860342549324521529204448077928285789931612992210866830953449516088573860995915180445181375678753190431560714914088749772945257335613
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:55:34 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,271)/89
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
215590054922689700296328027190151084445892795228626605507885007135347020953353087984354898029753072554033658090297150048542499164611962801/89
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:55:52 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,2^495-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
81378051307627519730201879809945553792117052900428077854599581548244728395225242719495530871663170372653954476403555188388037567270956509796673118781891367368575253264653508058137189850502191775767295245727529326088043948652106740148904304017540903495953001672121503803381391281910977
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:56:03 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
lcm(b,2^135-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
34650447432600075439304169180671342758476415945668489337873548847887859623024725007869699430749749487371527488973377207521075136694768974321594232275336705339570196581384746177
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:56:13 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,2^135-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:56:21 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,2^495-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:56:26 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,2^1188-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:56:36 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,2^1818-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:56:47 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,2^1485-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:57:17 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^1485-1)-(2^495-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:57:53 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(1485*11*271)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.122s
user 0m0.080s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:58:02 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(1485*11*271)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.124s
user 0m0.090s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 22:58:11 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(23)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:05:26 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(297)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:06:00 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(3*5*11)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:06:26 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(297*165)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:07:15 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(297*165/89)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:07:21 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(297*165/23)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:07:48 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(297+165)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:07:58 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(135+165)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:08:07 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(135*165)-1))
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:11:00 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,(2^(1485)-1)/271)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:11:20 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b+1,271)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:11:27 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b+1,270)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:11:35 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,270)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:11:41 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,1485)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1485
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:12:05 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,981183)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:12:16 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,554737)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:12:42 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,53928)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
18
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:13:17 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^1485)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:13:32 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^495)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:13:42 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^297)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:13:50 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^165)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:13:56 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^271)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1782
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:14:33 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^1782)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:14:41 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^165)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:14:49 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^135)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:15:06 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^2790)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:15:13 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^2791)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
594
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:15:22 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^2792)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:15:27 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^2793)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:15:33 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^2794)-2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Tue Jul 20 23:49:09 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,(2^2794)-2)
(b-1)/2
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
397767629008652583572560935775186502667698884185657943741485253017245426113197579306927856143455853420726306439662638465945570414413215
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (212.20.139.107)
Time: Wed Jul 21 10:26:11 2004
Input: 12+34
Output: 46
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host na-148-243-20-33.na.avantel.net.mx. (148.243.32.33)
Time: Wed Jul 21 15:36:20 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:34:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a*a,b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:34:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:34:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p508E57DE.dip0.t-ipconnect.de. (80.142.87.222)
Time: Wed Jul 21 18:36:45 2004
Input: ((a+b)^2)*(1-b)
Output: (-b + 1)*a^2 + (-2*b^2 + 2*b)*a + (-b^3 + b^2)
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:37:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((1995840*1995840)-1,b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:37:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((1995840*1995840),b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:37:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((1995840*1995840)-1,b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:37:49 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((1995840*1995840),b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:38:16 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((b*b)+1,b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:38:28 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((b*b)+1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:38:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((a*a)+1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:39:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd((a*a)-1,(b*b)-1)
gcd((c*c)+1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:39:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd((a*a)-1,(b*b)-1)
gcd((c*c)-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
1920
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:39:33 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd((a*a)-1,(b*b)-1)
gcd((c*c),(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197761
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:41:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a-1*a+1),(b*b)-1)
gcd((a*a)-271,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:41:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((a*a)-271,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:41:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
(b-1)/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673/224
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:42:23 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
((b*b)-1)/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:43:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
((((b*b)-1)/1995840)+1)/a
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313415/3307778274605860019775884877775856144362368451681
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:43:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
((((b*b)-1)/1995840)+1)/b
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313415/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:43:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
((((b*b)-1)/1995840))/b
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:44:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd((a*a)-1)+ ((b*b)-1),2^1485-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd((a*a)-1)+((b*b)-1),2^1485-1
^--------------------
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:44:58 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((a*a)-1)+ ((b*b)-1),2^1485-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
7
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:45:11 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((a*a)-1)* ((b*b)-1),2^1485-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
217
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:45:36 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)-1),2^1485-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
7
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:45:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)),2^1485-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:46:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)),(2^1485-1)*(a))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:46:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)),(2^1485-1)*(a*a))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:46:31 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)),(2^1485-1)*((a*a)-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:46:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)-1),(2^1485-1)*((a*a)-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
1995840
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:46:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)-1),(2^1485-1)*((a*a)))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
7
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:47:42 2004
Input: a=233
b=1103
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)-1),(2^29-1)*((a*a)))
Output: 233
1103
1392
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:49:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^29-1 - ((a*a)-1),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:49:39 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^29 - ((a*a)-1),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
64
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:50:27 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(((2^29 * 2^29)-1)- ((a*a)-1),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:50:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(((2^29 * 2^29)-1)- ((a*a)),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
14
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:50:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(((2^29 * 2^29))- ((a*a)),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:50:52 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(((2^29-1 * 2^29-1))- ((a*a)),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:50:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(((2^29-1 * 2^29-1))- ((a*a)-1),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:51:56 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^29-1)/a)
c=c*c
gcd(c,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
1
Errors (if any) and Timing Info: *** unused characters: c=(2^29-1)/a)
^-
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:52:11 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^29-1)/a)
c=c*c
gcd(c-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
1
Errors (if any) and Timing Info: *** unused characters: c=(2^29-1)/a)
^-
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:52:24 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(c-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
1
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:52:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
*** unexpected character: gcd(,(b*b)-1)
^---------
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:52:54 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(b+1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826432
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:53:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(b+a,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
32
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:53:35 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(b+a,b-a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
2
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:53:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(b*a,b-a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
1
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:53:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = (2^1485-1)/a)
c=c*c
gcd(b*a,b-1*a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c^2
1
Errors (if any) and Timing Info: *** unused characters: c=(2^1485-1)/a)
^-
Timing:
real 0m0.079s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:54:15 2004
Input: a=233
b=1103
gcd((a*a)-1,(b*b)-1)
gcd(((b*b)-1),(2^29-1)*((a*a)))
Output: 233
1103
1392
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:55:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(c,2^1485-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:56:52 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(c,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:57:01 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(c-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
62370
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:57:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b-1/62370
gcd(c-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
49617534042539323274841251128596764342768758813318971902312870461371194453360266042746180775334683155701399465283517522242050453493904501469/62370
62370
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:57:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b-1/62371
gcd(c-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
49618329577797340580008396250468314715774094211087343218200353431877228944212492437904794631046970067408240917896396847518982344634733327900/62371
62370
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 18:57:53 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b-1/62369
gcd(c-1,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
49616738507281305969674106006725213969763423415550600586425387490865159962508039647587566919622396243994558012670638196965118562353075675038/62369
62370
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:14:26 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
c*2+1
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
5262908486305218710130701838250050475941650092504101336535142588109865589025524468303112619854902103776560371102757972855650225108839208878208102745696107039548329188649241707518361023
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:15:01 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
c*6+1
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
15788725458915656130392105514750151427824950277512304009605427764329596767076573404909337859564706311329681113308273918566950675326517626634624308237088321118644987565947725122555083067
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:15:48 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
c*3
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
7894362729457828065196052757375075713912475138756152004802713882164798383538286702454668929782353155664840556654136959283475337663258813317312154118544160559322493782973862561277541533
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:16:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
a*3
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
9923334823817580059327654633327568433087105355043
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:16:27 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*3
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
2386605774051915501435365614651119016006193305113947662448911518103472556679185475841567136860735120524357838637975830795673422486479293
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:17:09 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*7
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
5568746806121136170015853100852611037347784378599211212380793542241435965584766110296989986008381947890168290155276938523237985801785017
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:17:36 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*13
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
10341958354224967172886584330154849069360170988827106537278616578448381078943137061980124259729852188938883967431228600114584830774743603
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:18:19 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:20:15 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,b*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:20:35 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*17)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:21:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^1485)-1)/a,(b*17)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:21:54 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^1485)-1)/a,(b*16)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:04 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^1485)-1)/a,(b*17)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:11 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*17)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*17)+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
51129
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:27 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*16)+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*16))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:50 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(a*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:22:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
31185
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:23:06 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1),(b*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
31185
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:23:16 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1),(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:23:29 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
b*17
gcd(((2^11880)-1)/a,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
13524099386294187841467071816356341090701762062312370087210498602586344487848717696435547108877499016304694418948529707842149394090049327
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:24:17 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
(2^1485-1)/(a*b)
gcd(((2^11880)-1)/a,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
406768897444617818513340981988290476368862612139110044109554971058181754600585533215851855377387102565513598691656845223222048574820351909010252886761700715499800630458694262013228644792871507198792529990178892161625927949279649444010208271302530768234171178205921
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:24:29 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
(2^1485-1)/(a*a*b)
gcd(((2^11880)-1)/a,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
406768897444617818513340981988290476368862612139110044109554971058181754600585533215851855377387102565513598691656845223222048574820351909010252886761700715499800630458694262013228644792871507198792529990178892161625927949279649444010208271302530768234171178205921/3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:24:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
(2^1485-1)/(a-1*b)
gcd(((2^11880)-1)/a,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
-6648408330205889162360261329088077520244719867650538630339969236914775938531782674594112587986342011759152696843200592116701976504397177323841742079457291473557363282260131317420495588709379956080595631918607653401317801768606689173611207455333441625496062768355933211523825921168571207896377792810585671051964462037205258469220607730653135553266099658975485772244998774945180805666462837109016741071461752822691934503673137885315077033889242271/4941212782716181162392061313977472082828557567523701164490500037481309641157733904433865866513273919139334391269860255128861978014750
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:24:54 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
(2^1485-1)/(a-1)*b)
gcd(((2^11880)-1)/a,(b*b))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info: *** unused characters: (2^1485-1)/(a-1)*b)
^-
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:26:31 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b,((a-1)/8))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:26:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b,((a-1)/10))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:27:04 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b,((a-1)/12))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:27:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)/12))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
2970
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:27:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:27:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*3*7*11*17))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
26730
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:28:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)2*3*7*11*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
Errors (if any) and Timing Info: *** expected character: ')' instead of: gcd(b-1,((a-1)2*3*7*11*17*23*29*31
^--------------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:28:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*2*3*7*11*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
26730
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:28:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)3*7*11*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
Errors (if any) and Timing Info: *** expected character: ')' instead of: gcd(b-1,((a-1)3*7*11*17*23*29*31))
^--------------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:28:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*3*7*11*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
26730
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*7*11*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*11*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*17*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:25 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*23*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:29 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*29*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*31))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*11))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:29:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,((a-1)*11*11880))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:30:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,(a-1)/1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
66
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:30:51 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,(a-1)/26730)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
22/3
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:32:06 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,(a-1)/8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
22
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:32:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,(a-1)/80190)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
22/9
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:32:58 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,(a-1)/22)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:33:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(b-1,(a-1)/11)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:33:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(3*(b-1),(a-1)/11)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:33:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd(3*(b-1),(a-1)/26730)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
22/3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:33:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c = a*b
gcd((b-1),(a-1)/3)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
2970
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:38:40 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(b*1.0)/a
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2.405044086916912742679760092 E86
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:39:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(b-1*1.0)/(a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2.405044086916912742679760092 E86
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 19:39:15 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(b-1*1.0)/(a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2.405044086916912742679760092 E86
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:00:05 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(c,b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:00:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(c^2-1,b^2-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1920
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:00:41 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(a^2-1,b^2-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:01:16 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(a^2-1,b^2-1)
b-1/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
1587761089361258344794920036115096458968600282026207100874011854763878222507528513367877784810709860982444782889072560711745614511804944047039/1995840
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:01:27 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(a^2-1,b^2-1)
b-1/1995841
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
1587761884896516362100087181236968009341605617423975472189899337734384256998380739763036398666422147894151624341685440037022546402945772873470/1995841
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:01:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(a^2-1,b^2-1)
b-1/1995839
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
1587760293826000327489752890993224908595594946628438729558124371793372188016676286972719170954997574070737941436459681386468682620664115220608/1995839
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:02:01 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(a^2-1,b^2-1)
b^2-1/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
1263119927894846183568997027869977099574452333525243835397016106173871297737935735803738026763637225435654804562159701869995742145066272067356525326071906303131351354209067463829764764526565468484177063533860566861778389175600938772819776425858042961395204393418368262859314239/1995840
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:02:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=2^1485-1
gcd(a^2-1,b^2-1)
b^2/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1995840
632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197761/1995840
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:03:08 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
(b^2-1)/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:03:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:03:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(b,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:04:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:04:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-1,c+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:04:26 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-1,c-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
23
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:04:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-2,c-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:04:40 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-2,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
6
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:04:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:05:00 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd((2^1485-1)^2-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
6
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:05:05 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd((2^1485-1)^2-1,c-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:05:19 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd((2^1485-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
Errors (if any) and Timing Info: *** expected character: ')' instead of: gcd((2^1485-1,c)
^---
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:05:25 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:05:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(a,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:05:52 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(a-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
18
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:06:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(a^2-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
18
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:06:06 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(a^2-1,c)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
18
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:06:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(a^2-1,c+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
5
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:06:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485,c+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:06:35 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(b^2-1)/1995840
gcd(2^1485-1,c+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
317097736666596673690954571438821901083045707836962336334553852757148995727294363938582867534936539212594846330933442437593964421733304376075552978636698467595786102328962232823784043935123801214482940577272481727767161674618378077054578584447022602777767955313414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:08:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(2^1485-1)/(a*b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
406768897444617818513340981988290476368862612139110044109554971058181754600585533215851855377387102565513598691656845223222048574820351909010252886761700715499800630458694262013228644792871507198792529990178892161625927949279649444010208271302530768234171178205921
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:09:04 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(2^1485-1)/(a*b)
gcd(c,b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
406768897444617818513340981988290476368862612139110044109554971058181754600585533215851855377387102565513598691656845223222048574820351909010252886761700715499800630458694262013228644792871507198792529990178892161625927949279649444010208271302530768234171178205921
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:09:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,b^2-1)
c=(2^1485-1)/(a*b)
gcd(c,a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1995840
406768897444617818513340981988290476368862612139110044109554971058181754600585533215851855377387102565513598691656845223222048574820351909010252886761700715499800630458694262013228644792871507198792529990178892161625927949279649444010208271302530768234171178205921
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:15:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(a^2-1,b^2-1)
c=(2^1485-1)/(a*b*d)
gcd(c,a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1995840
3814460523098144654763677202481832343944226149004159306358092319317019096025967474616649644324032712069923880937570820414602469818252595578512908982031098993910987818840539631560322572549587523316120534349327494130443686324927824970345481
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:16:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d^2-1,b^2-1)
c=(2^1485-1)/(a*b*d)
gcd(c,a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
71280
3814460523098144654763677202481832343944226149004159306358092319317019096025967474616649644324032712069923880937570820414602469818252595578512908982031098993910987818840539631560322572549587523316120534349327494130443686324927824970345481
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:16:28 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d^2-1,b^2-1)
c=(2^1485-1)/(a*b*d)
gcd(b,a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
71280
3814460523098144654763677202481832343944226149004159306358092319317019096025967474616649644324032712069923880937570820414602469818252595578512908982031098993910987818840539631560322572549587523316120534349327494130443686324927824970345481
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:16:33 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d^2-1,b^2-1)
c=(2^1485-1)/(a*b*d)
gcd(d,a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
71280
3814460523098144654763677202481832343944226149004159306358092319317019096025967474616649644324032712069923880937570820414602469818252595578512908982031098993910987818840539631560322572549587523316120534349327494130443686324927824970345481
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:16:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d^2-1,b^2-1)
c=(2^1485-1)/(a*b*d)
gcd(d-1,b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
71280
3814460523098144654763677202481832343944226149004159306358092319317019096025967474616649644324032712069923880937570820414602469818252595578512908982031098993910987818840539631560322572549587523316120534349327494130443686324927824970345481
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:30:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:32:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:32:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(a-1)/35640
(d-1)/35640
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
92810838232487654875866579062173292490526612
2992105609244140163141
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:37:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1/)((a-1)/35640)
(b-1/)((d-1)/35640)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
Errors (if any) and Timing Info: *** unexpected character: (b-1/)((a-1)/35640)
^--------------
*** unexpected character: (b-1/)((d-1)/35640)
^--------------
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:37:50 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/((a-1)/35640)
(b-1)/((d-1)/35640)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
36160693546241143961141903252289682060699898562332540340135023001567766010290689027902532376677804856429664221787512587813233674037565/4218674465113075221630299048280604204114846
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430/2992105609244140163141
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:38:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/35640
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673/4
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/8910
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3*7)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/7
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3*11)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/11
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3*13)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/13
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:50 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/17
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:39:56 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3*271)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/271
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:40:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:40:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910*3)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:47:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(d-1,b-1)
gcd(a-1,b-1)
gcd(a-1,d-1)
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
8910
8910
35640
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:54:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,238021884501593588198496225558673267179960710312073032865549844533 )
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
3
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:57:00 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b,238021884501593588198496225558673267179960710312073032865549844533+1 )
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:57:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b,2*238021884501593588198496225558673267179960710312073032865549844533+1 )
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:57:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b,2*180641206748207561575083680509221187213463809116350104161923159172 +1 )
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 20:57:52 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b,180641206748207561575083680509221187213463809116350104161923159172 +1 )
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:00:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b,180641206748207561575083680509221187213463809116350104161923159172 +1 )
d*b
(b-1)/(8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
84834801100310849502580816626780652486254747860749400781999013989260755836797089926761643707936617584427652947417368243075449442171819507876757288272832299864871
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:02:57 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b,180641206748207561575083680509221187213463809116350104161923159172 +1 )
(b-1)/(9*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:04:16 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:04:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:06:17 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
(2^1485-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:07:58 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
(2^3326400-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m21.011s
user 0m20.940s
sys 0m0.060s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:10:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
(2^3326400-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^332604-1,9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m21.009s
user 0m20.960s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:14:36 2004
Input: (2^3326400-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.006s
user 0m20.940s
sys 0m0.060s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:15:03 2004
Input: (2^1485-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:15:12 2004
Input: (2^8910-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output: 1504046855675876208506494536202967963946847401089720501657971071759963047107187151746990081940604619858738955307147750834821158692537399063235693536246043879863363345549080902699229134963652542412791975617493487429002138736631627894353798093065931641405016751252243583192783457924343084026510073994343228903734530557006701819151148544629726979413725276779960660027257319807353371027837741387884008379918207686656676548418473140062315751369516489713120275533333215586526384930269439741154821251496151412333121062310762521024272230665399760097205069036037613573561208592117272558563334503906206604195707854947762140442662487254482199816758009926059807095556734872365116956796216944961051790557667598530580203967804891687673785072217195454910685698320370344090509204316451910614876177215922390577455988259347978424552412322313069046554276508084502411472970112692186319806568653466929492834799377842700579202923407826763522289747804904772451790935593190885440478331278413604809130849695002125468154499979579395997769088737218085291031874794983966375327110943246512235124764610334440180080975713340340967266305683530992761230917606580328788416179981937604646585370414903717804441422299303046326135147153439553754021946916617690239808439864904189239333762687380164093321791823161724286845520907104453808152260741043596940472869317047774666563539616793506237247103631525597486281158571979650989971541389863779212337201899357521065070413345888734400780132546330198778671098557026590218660577007961670967464089608741318914379604108661471524232348462320590322546987010924861758164742266664167939812136745742341394050334978644375272526843067413453195552241899069767720196245300462640956379776422270444329399705177866871782919393382951477693838459997073462352379726739612777234153003322150936806661606580771359430911545556030450445554105595949241017827626162169527195106368563271078183611096979717118996457779844483724019996977953170290159938206321376831100470276062831743666742226718977790872824460907963594682662857289379886891130838265168029087325949503445030280222394228543059233123918874273221119732904806069291723563938773344404852384477739402638075087551554853754275901611962703844505366157200981623076730649631928514993120031150584742399347490116687983674962567033932110365229691093516866308448238737092630915701758991288068162032069658553693326027724844957220314819504965702896736790601424357989613646691571420009252202347491834776746251477339153379642104464977736645488962736145801146224920641432820665220707226778389880791532630961408101597231172871514602750578211378793177891187305003707096720534980001908862496260484625145123077203040733799017424091931131147535359823826099869057023/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:15:37 2004
Input: (2^80910-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output: 2172446913527456366675990813212582218013949663727713809778291255696083172185347637274296696826758410480747632109108659530985643189391371298697484907076494215122707882284617073318943820343471682449656433404275800372162026040389367164326636464713614504467320157003882153045316254995562427341103952121919904293106463729263089650973845184016182206168237644184142366864874636051035690729091077158198747636479542127995473639010764074889162549441045752727088434701910451662139770131015884477516792366528724031318960834167018640303726599020201158538511493238550414564199823669205549089065470327217363404885225303815638189439292799963294322379654996487908599153459261886243842299016533753978002018677410885749301740795838237221833097504488701458617805609554903586476288203384270720083736598295315784162044596988711785868762920826935923688835836423845319674679646968420348748664790101381103203568742612018180110732016803284003846464144458833124913774177183997410204443137001300134913856288844495358241806319445478713545262983484521497981707804262840946502229946616670566896752622502983131025179578165509234996363413454471511654832673199387637152065014780887826121972766421863066542371444441152313206994530682656763762736762003761208439619118536702091952451377424705673728600512637352637900229404452925949886684881582400341729528172818111759114661226859561597121432299720426192132719245039419214768993618023109240399179064672328779098455350957948760807953469525447938406298504337368266372375926670061082054711043731936497967113758412122864045024539617089160951870830672902833111206669127819203260647952278823481779928858884122712486399516751090374952523284068154732098132273052143348288727581373270246412828729883061472644345540208367012043980699176911311121988936916495308772927121029539365714754028445522391865168849291453199176033272274993649691206647882194509494136689087464575295717285291281893227883386301443645725848297422818899900319248529191563262423973989387204309439584913746601611344403523904334458720868467411771956795066872824350593077834070616580725709259887451192074425246699498359077334999559979731626187786925809967861629746497582465532925753725478666411375662468610912443087535745836333342185053294844390944942262487043428495614937173311537487634261698143594793439972275241336442559942137164503298151774147971054900207710496458017102052601740163269671942052404877720633571023348603970897327040214625467546562382050380318516105998093274251274442684576043539866180456312128707143746073680191749428892519508955865734947993339002177181373178241250435895970949415027598126641526134561949683417425200856607934699429165348861936738827336455635224035202740693579691152614202622483981501851974706805175347092626384180273204264928055303096186116527147137131302803467693354886644562272786957625664617155161301790124647447719682294803142688464488131112126219394799143222392965505544395098856210259620038180207888136108712928902800408419321375745472122333872543749838350747456553099658655087163612120238045310888619864626207104769313514026649366970503776573894113536692108692553244400330281732901617053380826594765027031262088916300371267855455420026951630156190875085265115560730198962590308575803583315036605087394622057501270400890445341152023729008237091947381927545252461089732530610841534313231008786554176552486981514397247806063820610234959011943153982312792445761379829769544713677827931532892049939727237787626784946027319168167994296079834795952771908359808503098860132635548601521805149987949028201981898588158875095692682723151718126058608974453131258725979507784923827512361383069682977017792393513566431381716288405626614815229354266959242860021488573298925450906082748505937365573405627689259356519007491406548492775648754819992702410400838036959174715077934257794374741007200470072326238250181053621317893490230346067346142893327130191816362124819767776282798339449697154593373781037910789866168694822216652456795932072937024229506660820661039039172721379933470306512639810062581222415689998902271589421232457416504446652105795806067284356033001021057255167266395366747970355239659698849154988366930861194407489733317197619932202242967198054021613686426442624036589978594103541004664422671634200968978976231580552193362463888184370845337821837328319184406871965764439016628257540244869775303882359227484376125915902062500250562129868167212516286236044389622802997677660359522525127113414159527617530422717190748210753990452077654881207519583465415178911247458793954479507466063932403231959173332231555309353727715000716976527177884798753082126586805452690770383126201732441885013691441840271872329786593993320399616549279122883956912813572106597440288289882992596547735711745126725969984991355710624113456087080009136219385597238286643039202452873975605505616122234883672241520109272754607490083529737253800917325127744695520287932004806326495897896351140314271241715884031999779755486120876807431676898625215814794316061554395292879734832077292993824452351107268798933405076063484754979459412773961223593569144643948394586644842472164744375978003539009568074411320486702384042873138995090803083431887216526222225029591571981100941355587255890614477099535537277084673132904740435033599080883681879034716682050248995703660670019645761471444087383199820667150327237544543868815937108154650572314250678942938001103458009714092439131150673948861097612936199537432099830558019564879306504211914163161910009402021733141199084936729818614239998824935455324465465584591654918000554726275663809015699442321246131548492820195938092503545951922061595306556271824155638089114622575375685195099486783825190980628435651750530013166908118266291559284583619717246243592990698343375287314932188076926236312166009908460658264530496724335683054035825693350260119797870255015176837947780151388080862156825418544792741842488815391407893884354903267007820974261682642224788710501683953759738760090376589500304216806534582484675455021229653253522865151153810967498896514741283365471860121187494574076343531952306826639563583718978666118509703637829238612591350589750610972600490365962826226427495132131748371376758139854134548452497318424695406921474727780493776064026798112119634878196331655865464748058321896056816908082206371179072221783975463018840442701439072366818613511347452409044087659890882469377250732902033514068156122858360937070770490401639234747516712179703451009513581053013907589527093855156453300578531312748638666167408671960208837849061822134133484109242049598302135210601680983557558155993006683428295208027777199994876978172393584672734821855971453649412734926771620359792220726722543554883630158871037050626773372113294251478276074162928157600266076792006003662147640360729598640435128616643169972407279387446322315285765909248272868618115113155068867334536921289527873271638209862910475200523191896711257248771856836464724600212951212076905660378984084829066952536264367232151427166012592824786247682459802016985186930602281930158765608073077877360226357145602399910999795139233699717496201718671523230878878708573677163321676841762622186103897089017331482564612883433222502321352920878170706631721096762352106202188818040533741099087583495748066956341961518776424746018802602670590359499182157495839712278017886765463339119506157746535548893000583067596374507090009217617124619412058218150610324181109018963199191101744079164661416476684496283693250011676843554513960649004196333173730287111858094455352997781518631216185829875466764871810010889182485763588215470166460267581703544503571206937863635306703140204246477063131865946962565068917958212045502289398493742048478761749207131840208057810321674793638804460245825575789734440298221667704241297078325813921365686353899432771520030113529640823456879948647275342899968448570671818158585191953650842331281266821678341395152624449382055056672783930923794810997540016845355393239267156002637407539644553117516915909596016102398653543240380083298622990196309081747731450402882793129186463465882958164275821384792404581577059987013495646210908707627167110370185844774531474702854351822431271395169990095203596692016149250654958431289800228143784675458580387525569990246725331158599182502384455508490851686521363612283152249713616028845710064456958578651253553834896687230738203547278434858973723033925544412625787731492909366505310463999969032184522368521948509018735897538966334928807008086266091344147410497308620697965290960097642437837159753740117865557300452738290347303965046237791205748672260563282464311517458143792262610420357565283892505613242631778707044656315617312682025904424543013615540554733664755268447951371770461876811714764312553341154609530817199407986818469872188325788960364796266124114103624809820440474832568062411968810013037807624173823417224783579393673676074979766492774743225640874228013502745106068954144498590253837865694046560577008141544124537246021661214800755980962378169909610394987269625123227460863783621100097604740330843479283777832762289776780585252089217369600850208197080573204486128044894674905351955491886378591819560990219783247542055662784180620248998243910951648294571241046691736974603280574060512650438602194779367486724940725008823248666178570917889583572443078209505310235823745518780967571172682149284559113559793039070683630973542902939107129789827730312649770867076963703847719395306031116027197609457122370582459628981282985291373733783797444465193272143605157641837447261682261778479206544305452405689070799912324042744482029559349706642049088225242110446309774978606776206088095054327741447839078246065861465898369701302289908257165651318837370294201869088526864338114500187129268502525971488479268704871133886358317261129132793186210332227388781123968333992675798766439153024687304295114531182840444232040797312696297535836011159988213656855053071642804968049482796740074140532457684657716267322391526714905786292306246408038516920680548792428706962125182869216023125273123903879552433240421002495114247119878985526488352977719273057131887599021046538306563725610139734283494458
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.253s
user 0m0.210s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:16:00 2004
Input: gcd((2^80910-1),9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:16:10 2004
Input: gcd((2^3326400-1),9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.105s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:17:29 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(8*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673/8
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:17:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(22*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673/22
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:17:51 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(3*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:17:57 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:18:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(80190)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:18:40 2004
Input: gcd((2^3326400-1),9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.101s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:19:05 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(9*8910)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:19:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(26730)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:19:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(26730*3)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:19:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(26730*31)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891/31
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:32:37 2004
Input: gcd((2^3326400-1),(9*9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297)+1)
Output: 251
Errors (if any) and Timing Info:
Timing:
real 0m0.106s
user 0m0.090s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:32:51 2004
Input: gcd((2^3326400-1),(80190*9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297)+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.104s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:38:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:40:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(829403456)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
397767629008652583572560935775186502667698884185657943741485253017245426113197579306927856143455853420726306439662638465945570414413215/414701728
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:41:09 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(392896)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
397767629008652583572560935775186502667698884185657943741485253017245426113197579306927856143455853420726306439662638465945570414413215/196448
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:41:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b-1)/(2111)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430/2111
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:41:27 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(2111)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
376852324972669430196647025841010424128563604155052528414481528202032615929130818860187452528143868707462156740561476519133652690112
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:53:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:53:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297/2
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:53:51 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456*9)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297/9
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:53:57 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456*11)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297/11
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:54:03 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456*271)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297/271
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:54:11 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(829403456*2111)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297/2111
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:54:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
(b+1)/(106638643913461155414345241)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826432/106638643913461155414345241
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:54:58 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
gcd((b+1),d+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:55:09 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(b-1,79340628167197862732832075186224422393320236770691010955183281511 )
gcd((b-1),d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:56:15 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(b-1,e-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:56:33 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,e-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:56:49 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^3326400-1,e-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7
Errors (if any) and Timing Info:
Timing:
real 0m0.103s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:56:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^3326400-1,e-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7
Errors (if any) and Timing Info:
Timing:
real 0m0.104s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:57:31 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(b-1,e*80190)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:57:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(b-1,e*8091)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:57:54 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(b-1,e*2111)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:58:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,e*2111)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:58:23 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-2,e*2111)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:58:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,e*2111-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:58:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,(e*2111)^2-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:58:57 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,(e)^2-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:59:05 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,(e)^2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:59:14 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,(e)^2+271)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:59:21 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,(e)^2-271)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:59:39 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-2,e*80190)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
30
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 21:59:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,e*80190)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:00:11 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(2^1485-1,e*29)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:00:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
b/29
gcd(2^1485-1,e*29)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/29
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:54:33 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b/(1485*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/2970
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:54:41 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b-1/(1485*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2362739716311396346421011958504607825846131372062808185824422402922437831112393621083151465492127769319114260251596072487716688261614500069/2970
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:54:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b-1/(1485*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2362739716311396346421011958504607825846131372062808185824422402922437831112393621083151465492127769319114260251596072487716688261614500069/2970
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:55:00 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
535713978462831762387287455589476771269628126849370968002000340763966903856158355968926405580411923798957988470926112412047906282038
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:55:11 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
267856989231415881193643727794738385634814063424685484001000170381983451928079177984463202790205961899478994235463056206023953141019
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:57:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*18)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:57:19 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*18)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:57:41 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*181)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
535713978462831762387287455589476771269628126849370968002000340763966903856158355968926405580411923798957988470926112412047906282038/181
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:57:49 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*18)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:58:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*18*3)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 22:59:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(1485*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
267856989231415881193643727794738385634814063424685484001000170381983451928079177984463202790205961899478994235463056206023953141019
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:08:19 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(26730)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
29761887692379542354849303088304265070534895936076164889000018931331494658675464220495911421133995766608777137273672911780439237891
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:14:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
(b-1)/(40095)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
19841258461586361569899535392202843380356597290717443259333345954220996439116976146997274280755997177739184758182448607853626158594
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:35:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
c=2^1485-1
c/((d*1485)+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/158358386211489815790302682886
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:36:19 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
2^1485-1/((d*80190)+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9153314574919665102100915164288762808263198472968604842850210599821264757513090360414849448075351061580521452562560910135738692164238341557533278637686663833248485734117182441110123036590387713475331482324851722652371937246294769687079639435542426077263340650178965846676194783736595890545653531472324767700953194247531366670488337044145549853301820475542107472998994466569156906727343858285089009822815707596384893943441915474091067499082828073426749435929762710955003228454911/8551352855420450052676344875791
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:36:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
2^1485-1/((d*a)+1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
377567465912862462519779555036612720445954905840976822280716132644143398687854734771236557614258282300356167296519986665498671595779204651507780550364503576747363246948645102043275378226370694334726457496866735112864784041142017739992196619583840407838269672984630558400278588071935660216327927593862493554134866292914268490640464732837083646668763174585540958500792986560621162397677648257989420289976182419139296482337036092626816983613762845276916060160777788765719946517250504446622146423974367860751550068314922287103/352736989570377236932791777289170048904486242366661391408244298997560800122
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:37:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,((d*a))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd(2^1485-2,((d*a))
^
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:37:25 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(d*a))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:37:32 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(d*a)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:37:52 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(a-1)*(b-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:01 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(d-1)*(b-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:08 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(d-1)*(a-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:15 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:21 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(a-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:29 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(b-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:41 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(a*b)-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
Errors (if any) and Timing Info: *** unused characters: gcd(2^1485-1,(a*b)-1))
^-
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
7
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:38:53 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(a*d)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:39:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:39:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:39:20 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:39:56 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a))
b*d*a
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:40:16 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/80190)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/80190
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:40:24 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/1485
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:40:31 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/279)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/279
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:40:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/271)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/271
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:40:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/11)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/11
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:40:51 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/9)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/9
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:41:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b*d*a)/(2*3*5*7*11*13*17*19))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
280614712010117536903438123635636512785625397138140713641727443016131604862840235074448669858405826021381220416781009759108606787026865735720889767003034021206447176631254390857979562906135954316023609792798151/9699690
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:41:31 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,a-1)/
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
Errors (if any) and Timing Info: *** unexpected character: gcd(2^1485-2,a-1)/
^
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:41:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:41:48 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:41:56 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,b-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:42:08 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,b*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:42:21 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(b-1)*2)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:42:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:42:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
7
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:42:51 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-3,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:42:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-4,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
4
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:43:00 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-5,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
39
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:43:06 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-6,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:43:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-7,(b-1)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
25
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:43:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
5568746806121136170015853100852611037347784378599211212380793542241435965584766110296989986008381947890168290155276938523237985801785017
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:43:49 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b/gcd(2^1485-1,(b)*2*3*5*7*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1/7
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:43:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(b)*2*3*5*11*13*17)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:23 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-1,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
7
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-2,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
30
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:34 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-3,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:40 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-4,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-5,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
3
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:48 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-6,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:44:53 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
gcd(2^1485-7,(a*b)-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
5
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:45:17 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b*1.0/a
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2.405044086916912742679760092 E86
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:45:26 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b*89.0/a
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2.140489237356052340984986481 E88
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:45:36 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
b*80190.0/a
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1.928604853298672328354899617 E91
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:45:57 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*80190.0)/(a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1.928604853298672328354899617 E91
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:46:04 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*80190)/(a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
325446241916170295650277129270607138546299087060992863061215207014109894092616201251122791390100243707866977996087613290319103066338085/16874697860452300886521196193122416816459384
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:46:45 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*80190*16874697860452300886521196193122416816459384)/(a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
325446241916170295650277129270607138546299087060992863061215207014109894092616201251122791390100243707866977996087613290319103066338085
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:47:31 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*16038*16874697860452300886521196193122416816459384)/(a-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
65089248383234059130055425854121427709259817412198572612243041402821978818523240250224558278020048741573395599217522658063820613267617
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:48:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*16038*16874697860452300886521196193122416816459384)/((a-1)*(3^8))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:49:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*16038*16874697860452300886521196193122416816459384)/((d-1)*(3^8))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
920741914703634338096764474190375173067088926373955267088572184862784386185367223784246460727279352951162011212898160211108716894109705435504980196495507908829451468844751764/2992105609244140163141
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:49:24 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*16038*16874697860452300886521196193122416816459384)/((d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
6040987702370544892252871715163051510493170445939520507368122104884728357762194355248441028831679834712573955567824829145084291542253777362348175069207027389830031087090416323604/2992105609244140163141
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:49:40 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1.0)/((d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
7.460102912250964609615615211 E108
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:49:53 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*8190)/((d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
365624790300882677829323688439817896391521196574695685661365232571407411881828077948792271808631137992788827131407071721222696037490935/5984211218488280326282
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:50:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*8190*5984211218488280326282)/((d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
365624790300882677829323688439817896391521196574695685661365232571407411881828077948792271808631137992788827131407071721222696037490935
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:50:51 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1638*5984211218488280326282)/((d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
73124958060176535565864737687963579278304239314939137132273046514281482376365615589758454361726227598557765426281414344244539207498187
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:51:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1.0)/((d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
7.460102912250964609615615211 E108
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:52:29 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1.0)/((a-1)*(d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
2.255321334420420581474163260 E60
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:52:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*80190)/((a-1)*(d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
803570967694247643580931183384215156904442190274056452003000511145950355784237533953389608370617885698436982706389168618071859423057/4443197274785228981834705377523731822510253080633871764010912132672
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:53:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1485*297*161*135*11*80190)/((a-1)*(d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
7703122160104229938419104237714647664214849805767770387834073139127877938884181303136344565370709559922642266985266095328078332904928664170275/403927024980475361984973216138521074773659370966715614910082921152
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:53:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1485*297*161*135*11*80190)/((a)*(d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
377491501455907788132228203169206308784848714731649587855808754182961658395019304760196565425991621984009084293612965001552478704006029187664326375/19794443859168195114073612456868225269283177474229882919887101831380042
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:53:46 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1485*297*161*135*11*80190)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
377491501455907788132228203169206308784848714731649587855808754182961658395019304760196565425991621984009084293612965001552478704006029187664326375/5984211218488280326282
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:54:09 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1485*297*161*135*11*80190*a)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375/5984211218488280326282
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.010s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:54:22 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:55:28 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b,e)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:55:37 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,e-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
2
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:55:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b,1485*297*161*135*11*80190*a*5984211218488280326282)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:56:07 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282)/(d-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:56:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282)/(d-1)
gcd(2^1485-1, e)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
1248658187364198159068484257301739763674147065998506001503791512631515720971391376204739050972617396081472933235886259210763081835927785178343697627152483322721495539285817791487814133266601386375
3307778274605860019775884877775856144362368451681
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:57:26 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-1, e)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
3307778274605860019775884877775856144362368451681
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:57:40 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-1, e-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
23
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:57:56 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-2, e-1)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:58:05 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-2, e)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:58:21 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-1, e*b)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:58:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-1, e*b)
e*b
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
26105681884114522660775952442290924914083638520804647223958916165091826094547877985202747651598747406231115290706660630857470691051127824263696747086332442639570762160822955318514473760171674402401547066322391380844409604735491613247448791636026489156317881859393330326899833767669402466086504461726040483179980767
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 21 23:59:23 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*297*161*135*11*80190*a*5984211218488280326282-1)
((b-1)*1485*297*161*135*11*80190*a*5984211218488280326282-1)/(d-1)
gcd(2^1485-1, e*b)
gcd(b,26105681884114522660775952442290924914083638520804647223958916165091826094547877985202747651598747406231115290706660630857470691051127824263696747086332442639)
e*b
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
1
133155215811958589013443737618475377338305411363636657371684554526474136359666113270829163999512392158855642251800637687025537903901589508006039774610714569473880324141334076021923967524090997074270618571450698546882104999/106638643913461155414345240
2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511
1
26105681884114522660775952442290924914083638520804647223958916165091826094547877985202747651598747406231115290706660630857470691051127824263696747086332442639570762160822955318514473760171674402401547066322391380844409604735491613247448791636026489156317881859393330326899833767669402466086504461726040483179980767
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:01:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(b-1)/7321
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430/7321
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:01:39 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(a-1)/7321
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
3307778274605860019775884877775856144362368451680/7321
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:01:53 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(d-1)/7321
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
106638643913461155414345240/7321
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:02:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(d-1)/39883
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
106638643913461155414345240/39883
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:02:10 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(a-1)/39883
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
3307778274605860019775884877775856144362368451680/39883
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:02:18 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(b-1)/39883
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430/39883
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:03:26 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(b-1)/34274693796559303
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826430/34274693796559303
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:03:33 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(a-1)/34274693796559303
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
3307778274605860019775884877775856144362368451680/34274693796559303
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:03:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(d-1)/34274693796559303
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
106638643913461155414345240/34274693796559303
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:05:38 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
(d-1)/1485
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
71810534621859363915384
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:05:55 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,(d-1)/1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
6
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:06:08 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,(a-1)/1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
66
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:06:40 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:06:50 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:06:58 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*a)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:07:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*(a-1)*(d-1))
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:07:25 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*(a-1)*(d-1)*a*d)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:08:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31(a-1)*(d-1)*a*d)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...7*2*3*5*13*17*19*23*29*31
*** (a-1)*(d-1)*a*d)
^----------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:08:13 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:08:47 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:09:02 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
(b-1)/80190
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:11:03 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
(b-1)/(2*1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
267856989231415881193643727794738385634814063424685484001000170381983451928079177984463202790205961899478994235463056206023953141019
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:12:30 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/27)/(1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
19841258461586361569899535392202843380356597290717443259333345954220996439116976146997274280755997177739184758182448607853626158594
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:14:12 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:14:36 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/27)/(2*1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:14:42 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/27)/(2*1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:18:16 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:19:43 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:20:17 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
gcd(b-1,9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:21:09 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
gcd(b-1,9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296*7*11*13*17*19*23*29*31)
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
22
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:24:44 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
gcd(b-1,6222033388246088261 )
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:24:59 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
gcd(b-1,6222033388246088261+1 )
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
6
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:26:05 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323+1 )
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
54
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:26:15 2004
Input: a=3307778274605860019775884877775856144362368451681
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=106638643913461155414345241
e=32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
gcd(b-1,1485*66*77*2*3*5*13*17*19*23*29*31*(a-1)*(d-1)*a*d)
((b-1)/54)/(1485)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 )
Output: 3307778274605860019775884877775856144362368451681
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
106638643913461155414345241
32815241840037527809768685860144971168111049335977686348267505849294585291342589277360722158965594860809080752604800928143473158179568538861775492791969494249772874653553765948257
80190
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:26:55 2004
Input:
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.094s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:27:06 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.102s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:27:11 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.098s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:27:44 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400-1,(4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323*1485)+1)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
67
1
Errors (if any) and Timing Info:
Timing:
real 0m0.099s
user 0m0.090s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:27:51 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400-1,(4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323*2*1485)+1)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
17
1
Errors (if any) and Timing Info:
Timing:
real 0m0.097s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:28:04 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400-1,(4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323*2*1485)+1)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323*2*1485 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
17
2970
Errors (if any) and Timing Info:
Timing:
real 0m0.098s
user 0m0.080s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:28:20 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(2^3326400-1,(4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323*2*1485)+1)
gcd(b-1,4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323*81)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
17
81
Errors (if any) and Timing Info:
Timing:
real 0m0.103s
user 0m0.090s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:35:49 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/54
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4960314615396590392474883848050710845089149322679360814833336488555249109779244036749318570188999294434796189545612151963406539648/27
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:35:58 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/6
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4960314615396590392474883848050710845089149322679360814833336488555249109779244036749318570188999294434796189545612151963406539648/3
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:36:03 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/11
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296/11
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:36:13 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/1485
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296/1485
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:36:18 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/271
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296/271
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:36:42 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:36:50 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/3
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296/3
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:06 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/2
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4960314615396590392474883848050710845089149322679360814833336488555249109779244036749318570188999294434796189545612151963406539648
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:14 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/4
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2480157307698295196237441924025355422544574661339680407416668244277624554889622018374659285094499647217398094772806075981703269824
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:18 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/8
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1240078653849147598118720962012677711272287330669840203708334122138812277444811009187329642547249823608699047386403037990851634912
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:24 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/16
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
620039326924573799059360481006338855636143665334920101854167061069406138722405504593664821273624911804349523693201518995425817456
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:29 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/32
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
310019663462286899529680240503169427818071832667460050927083530534703069361202752296832410636812455902174761846600759497712908728
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:36 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/64
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
155009831731143449764840120251584713909035916333730025463541765267351534680601376148416205318406227951087380923300379748856454364
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:43 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/128
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
77504915865571724882420060125792356954517958166865012731770882633675767340300688074208102659203113975543690461650189874428227182
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:37:49 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/256
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
38752457932785862441210030062896178477258979083432506365885441316837883670150344037104051329601556987771845230825094937214113591
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:38:45 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((b-1)/80190)-1)/(256*7)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5536065418969408920172861437556596925322711297633215195126491616691126238592906291014864475657365283967406461546442133887730513
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:39:04 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((((b-1)/80190)-1)/(256*7))-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5536065418969408920172861437556596925322711297633215195126491616691126238592906291014864475657365283967406461546442133887730512
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:39:08 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((((b-1)/80190)-1)/(256*7))-1)/2
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2768032709484704460086430718778298462661355648816607597563245808345563119296453145507432237828682641983703230773221066943865256
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:39:14 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((((b-1)/80190)-1)/(256*7))-1)/4
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1384016354742352230043215359389149231330677824408303798781622904172781559648226572753716118914341320991851615386610533471932628
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:39:19 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((((b-1)/80190)-1)/(256*7))-1)/8
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
692008177371176115021607679694574615665338912204151899390811452086390779824113286376858059457170660495925807693305266735966314
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:39:23 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((((b-1)/80190)-1)/(256*7))-1)/16
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
346004088685588057510803839847287307832669456102075949695405726043195389912056643188429029728585330247962903846652633367983157
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:40:05 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
23007120731803182226930237372650263171266005459277608198377932445188868269968524714969680811795021626967411652812862116363
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:40:17 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
23007120731803182226930237372650263171266005459277608198377932445188868269968524714969680811795021626967411652812862116362
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:40:22 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:41:16 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
gcd(b,139826791765476993237445148326599048789381805090154765016301446852908883829290662687084772683956544118828067970797)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:41:26 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
gcd(2^1485-1,139826791765476993237445148326599048789381805090154765016301446852908883829290662687084772683956544118828067970797)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:41:35 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
gcd(2^1485-1,139826791765476993237445148326599048789381805090154765016301446852908883829290662687084772683956544118828067970797-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:43:11 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
gcd(2^3326400-1,139826791765476993237445148326599048789381805090154765016301446852908883829290662687084772683956544118828067970797)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
1
Errors (if any) and Timing Info:
Timing:
real 0m0.096s
user 0m0.080s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:43:21 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
gcd(2^3326400-1,139826791765476993237445148326599048789381805090154765016301446852908883829290662687084772683956544118828067970797-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
33
Errors (if any) and Timing Info:
Timing:
real 0m0.096s
user 0m0.080s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:43:30 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
((((((b-1)/80190)-1)/(256*7))-1)/(16*27*557)-1)/2
gcd(2^3326400-1,139826791765476993237445148326599048789381805090154765016301446852908883829290662687084772683956544118828067970797+1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
11503560365901591113465118686325131585633002729638804099188966222594434134984262357484840405897510813483705826406431058181
199
Errors (if any) and Timing Info:
Timing:
real 0m0.103s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:52:10 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(b-2791)/2790
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
8839280644636724079390243017226366725948864093014620972033005622605453913626612873487285692076796742682806809770280854798790453653596/31
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:52:21 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
(b-2791)/1485
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
17678561289273448158780486034452733451897728186029241944066011245210907827253225746974571384153593485365613619540561709597580907307192/33
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:53:34 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=297
(b-(c*2)-1)/(c*2)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
1339284946157079405968218638973691928174070317123427420005000851909917259640395889922316013951029809497394971177315281030119765705094
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Jul 22 00:53:51 2004
Input: b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
c=297
(b-(c*2)-1)/(c*4)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
297
669642473078539702984109319486845964087035158561713710002500425954958629820197944961158006975514904748697485588657640515059882852547
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:37:38 2004
Input: 245969-(2*29)-1
Output: 245910
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:46:41 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
gcd(a,495)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:46:47 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
gcd(a,297)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:46:53 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
gcd(a,165)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:47:49 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
gcd(b,495)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
5
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:47:58 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
gcd(b,495)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:48:22 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b,c)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:48:30 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b-1,c-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
10
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:48:42 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b^2-1,c^2-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
120
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:48:54 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(b^2,c^2)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:49:09 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(a^2-1,c^2-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:52:17 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088261
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088261
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
120
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:52:24 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2079
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:52:42 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
gcd(b-1,2079)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2079
2079
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:53:27 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
gcd(b-1,2079)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2079
2079
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:53:45 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
gcd(b-1,622215)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2079
297
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:54:13 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
gcd(b-1,622214)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2079
1
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:54:20 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
gcd(b^2-1,c^2-1)
gcd(b-1,622216)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2079
7
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:57:32 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
e=3909882453062514473466121024321749152362557694761179
gcd(e^2-1,c^2-1)
gcd(b-1,622216)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
3909882453062514473466121024321749152362557694761179
120
7
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:58:02 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
e=3909882453062514473466121024321749152362557694761179
gcd(e^2-1,c^2-1)
gcd(b-1,e)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
3909882453062514473466121024321749152362557694761179
120
1
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 02:58:08 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
b=6222033388246088260
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
d=4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
e=3909882453062514473466121024321749152362557694761179
gcd(e^2-1,c^2-1)
gcd(b-1,e-1)
lcm(2095,1485)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079296
6222033388246088260
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
3909882453062514473466121024321749152362557694761179
120
1
622215
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:00:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6222033388246088261
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6222033388246088261
120
10
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:01:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323
216
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:01:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878269303
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878269303
48
6
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:01:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=16388783550283262478418797347460079024327575689775854185405487927217867617492037675836361212326977467139132339125809
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
16388783550283262478418797347460079024327575689775854185405487927217867617492037675836361212326977467139132339125809
480
6
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:01:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=174467547588605672781668341716275751834521117460567345697128767748444341014009939488975059746284464605041010253
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
174467547588605672781668341716275751834521117460567345697128767748444341014009939488975059746284464605041010253
1512
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:01:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=156741224811097
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
156741224811097
48
6
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:02:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2622749979982491535294432405078635135092281986925147333548819627982561650827304558867803
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2622749979982491535294432405078635135092281986925147333548819627982561650827304558867803
72
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:02:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=35122767347
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
35122767347
24
2
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:02:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=425924147699
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
425924147699
2520
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:03:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=425924147699
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
gcd(b-1,2520)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
425924147699
2520
2
14
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:03:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3909882453062514473466121024321749152362557694761179
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
gcd(b-1,2520)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3909882453062514473466121024321749152362557694761179
120
2
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:03:33 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=358491471038911809824348003877124357347751
gcd(a^2-1,b^2-1)
gcd(b-1,a-1)
gcd(b-1,2520)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
358491471038911809824348003877124357347751
240
30
30
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:03:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=358491471038911809824348003877124357347751
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
358491471038911809824348003877124357347751
240
1
30
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:04:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=28382820131
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
28382820131
840
9
10
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:04:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
2688
4910711469242624488550135009570203736638257829452567206685003123669696618681451596381825384487109301490448227650156030443772474252015
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:04:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6222033388246088261
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6222033388246088261
120
2079
10
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323
216
21
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:19 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878269303
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878269303
48
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:35 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053287826930
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053287826930
3
1760
3
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905328782693
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905328782693
24
11
6
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878269
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878269
360
1
18
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053287826
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053287826
945
32
135
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905328782
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905328782
3
440
3
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:05:58 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532878
3
792
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053287
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053287
112
15
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905328
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905328
33
672
11
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290532
1
120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729053
168
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872905
144
5
18
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287290
3
1680
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328729
240
3
2
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:21 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832872
3
240
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:23 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683287
112
15
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
3077813550743196693447050141853002840768718714539905416019150632731515538565004675522068635675006368328
3
528
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
307781355074319669344705014185300284076871871453990541601915063273151553856500467552206863567500636832
7
960
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:06:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683
168
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:19:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683
a-(2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30778135507431966934470501418530028407687187145399054160191506327315155385650046755220686356750063683
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828823460
168
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:20:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=30045495229
a-(2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30045495229
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828823460
840
11
6
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:20:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=745941735982401831301701893520368652462521935246496976190754840897567093767805790145133399269272443702848675771979
a-(2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
745941735982401831301701893520368652462521935246496976190754840897567093767805790145133399269272443702848675771979
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828823460
120
3
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:21:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=745941735982401831301701893520368652462521935246496976190754840897567093767805790145133399269272443702848675771979
x=2
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
745941735982401831301701893520368652462521935246496976190754840897567093767805790145133399269272443702848675771979
2
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828820490
120
3
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:22:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=18820319468464700512063664172929167080382720835618876587598357599358101761983964742492616197734929946024555421641822089351
x=2
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
18820319468464700512063664172929167080382720835618876587598357599358101761983964742492616197734929946024555421641822089351
2
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828820490
240
9
10
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:22:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=18820319468464700512063664172929167080382720835618876587598357599358101761983964742492616197734929946024555421641822089351
x=3
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
18820319468464700512063664172929167080382720835618876587598357599358101761983964742492616197734929946024555421641822089351
3
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828817520
240
9
10
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:22:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5053725208172652200006713084996336805272709922141203446493803144227800567514867712068128008866475799094615911478421566497
x=3
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5053725208172652200006713084996336805272709922141203446493803144227800567514867712068128008866475799094615911478421566497
3
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828817520
576
15
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:23:05 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5053725208172652200006713084996336805272709922141203446493803144227800567514867712068128008866475799094615911478421566497
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5053725208172652200006713084996336805272709922141203446493803144227800567514867712068128008866475799094615911478421566497
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
576
15
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:23:14 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5053725208172652200006713084996336805272709922141203446493803144227800567514867712068128008866475799094615911478421566497
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5053725208172652200006713084996336805272709922141203446493803144227800567514867712068128008866475799094615911478421566497
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
576
15
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:23:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=4134753456266716451761750023113576368289892495639930618031141553986669919026623708186270549099023
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
4134753456266716451761750023113576368289892495639930618031141553986669919026623708186270549099023
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
96
3
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:23:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:24:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
gcd(b-1,13440)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
2
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:24:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
gcd(b-1,13439)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:24:51 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
gcd(b-1,13441)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:25:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:25:43 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
(b-1)/6772450392960
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
1/6720
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:26:25 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
(b-1)/(6772450392960/6720)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:26:44 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
(b-1)/(6772450392960)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
1/6720
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:27:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
((b-1)* 6720)/(6772450392960)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:27:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
((a-1)* 6720)/(6772450392960)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
397767629008652583572560935775186502667698884185657943741485253017245426113197579306927856143455853420726306439662638465945570414413215/503902559
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:27:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=4
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
(a-1)/(6772450392960)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
4
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828814550
13440
33
2
6772450392960
26517841933910172238170729051679100177846592279043862916099016867816361740879838620461857076230390228048420429310842564396371360960881/225748346432
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:29:01 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=1007805119
x=5
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(b-1,13440)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1007805119
5
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828811580
13440
33
2
6772450392960
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:29:48 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=358508804807
x=5
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,358508804807 )
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
358508804807
5
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828811580
3696
45
2
285206394533612439996183006489879202237830088108735485803370247684457296550459783292744602241930380688865541287094159953436580840774282791752649010
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:30:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=358508804807
x=5
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,358508804807 )
lcm(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
358508804807
5
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828811580
3696
45
2
285206394533612439996183006489879202237830088108735485803370247684457296550459783292744602241930380688865541287094159953436580840774282791752649010
285206394533612439996183006489879202237830088108735485803370247684457296550459783292744602241930380688865541287094159953436580840774283150261453817
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:30:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
x=5
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
5
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828811580
3960
1
198
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161547036160018001113717513186699607404158512747330744921750889444128330930373703382887838664709835473272093523515077370
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161552815503839629048679673701120913867203869423780646177639033740356557165090795058437966897665615785719794268561000029
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:31:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
x=5
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
b/(lcm(a,b))
(b-1)/lcm(b-1,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
5
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828811580
3960
1
198
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161547036160018001113717513186699607404158512747330744921750889444128330930373703382887838664709835473272093523515077370
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161552815503839629048679673701120913867203869423780646177639033740356557165090795058437966897665615785719794268561000029
1/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:32:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
x=5
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
(lcm(a,b))/b
lcm(b-1,a)/(b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
5
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828811580
3960
1
198
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161547036160018001113717513186699607404158512747330744921750889444128330930373703382887838664709835473272093523515077370
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161552815503839629048679673701120913867203869423780646177639033740356557165090795058437966897665615785719794268561000029
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:33:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
x=6
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
(lcm(a,b))/b
lcm(b-1,a)/(b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5779343821627934962160514421306463045356676449901255888144296228226234717091675550128232955780312447700745045922659
6
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828808610
3960
1
198
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161547036160018001113717513186699607404158512747330744921750889444128330930373703382887838664709835473272093523515077370
4597671778309497730951983895679815174272883635409827026918993107920062402877027905054406824465462100330234293344307927703310186557161552815503839629048679673701120913867203869423780646177639033740356557165090795058437966897665615785719794268561000029
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:33:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6818868389966707853801284822469390002370900258492172691599566458589764206109409825426088751858460260488813067384848899
x=6
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
(lcm(a,b))/b
lcm(b-1,a)/(b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6818868389966707853801284822469390002370900258492172691599566458589764206109409825426088751858460260488813067384848899
6
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828808610
120
63
2
5424650223998211201113393348432560551532711903117912212404978518609336466247290980601966145688294528256346721827741637898703003524930755380500454271634964068443999861893668928312805388278668597929730236454445709768274537083493941447772794788609047600570
5424650223998211201113393348432560551532711903117912212404978518609336466247290980601966145688294528256346721827741637898703003524930762199368844238342817869728822331283671299213063880451360197496188826218651819178099963172245799908033283601676432449469
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:34:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=6818868389966707853801284822469390002370900258492172691599566458589764206109409825426088751858460260488813067384848899
x=7
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
(lcm(a,b))/b
lcm(b-1,a)/(b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
6818868389966707853801284822469390002370900258492172691599566458589764206109409825426088751858460260488813067384848899
7
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828805640
120
63
2
5424650223998211201113393348432560551532711903117912212404978518609336466247290980601966145688294528256346721827741637898703003524930755380500454271634964068443999861893668928312805388278668597929730236454445709768274537083493941447772794788609047600570
5424650223998211201113393348432560551532711903117912212404978518609336466247290980601966145688294528256346721827741637898703003524930762199368844238342817869728822331283671299213063880451360197496188826218651819178099963172245799908033283601676432449469
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 03:34:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=2284825931015325081290626811198601336050595034052405211933679238070342004465015787743437033633482862618976267018400316289997
x=7
a-(x*2*1485)-1
gcd(a^2-1,b^2-1)
gcd(a^2-1,(b-1)^2-1)
gcd(b-1,a-1)
lcm(a-1,b)
lcm(a,b)
(lcm(a,b))/b
lcm(b-1,a)/(b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
2284825931015325081290626811198601336050595034052405211933679238070342004465015787743437033633482862618976267018400316289997
7
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828805640
168
15
2
1817659586554906135132138668595386895407899629780328142571910292668832971979508333700929105176816895056266724893623577768695291992701536504301843506943071981509881912861320770569207469039300154655693829879076752865776574821388917740929435605353388089058220710
1817659586554906135132138668595386895407899629780328142571910292668832971979508333700929105176816895056266724893623577768695291992701538789127774522268153272136693111462656821164241521444512088334931900221081217881564318258422551223792054581620406489374510707
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host br2-news.orthogon.de. (193.96.240.80)
Time: Thu Jul 22 03:52:21 2004
Input: solve(x=y+1, y)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: solve(x=y+1,y)
^-
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host br2-news.orthogon.de. (193.96.240.80)
Time: Thu Jul 22 03:52:53 2004
Input: binary(127)
Output: [1, 1, 1, 1, 1, 1, 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host br2-news.orthogon.de. (193.96.240.80)
Time: Thu Jul 22 03:53:16 2004
Input: ?solve
Output: solve(X=a,b,expr): real root of expression expr (X between a and b), where
expr(a)*expr(b)<=0.
Errors (if any) and Timing Info:
Timing:
real 0m0.082s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host br2-news.orthogon.de. (193.96.240.80)
Time: Thu Jul 22 03:54:06 2004
Input: solve(X=0,10,X+1)
Output:
Errors (if any) and Timing Info: *** roots must be bracketed in solve.
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host br2-news.orthogon.de. (193.96.240.80)
Time: Thu Jul 22 03:54:19 2004
Input: ?simplify
Output: simplify(x): simplify the object x as much as possible.
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host br2-news.orthogon.de. (193.96.240.80)
Time: Thu Jul 22 03:54:36 2004
Input: simplify((x+1)(x))
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: simplify((x+1)(x))
^----
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:09:17 2004
Input: gcd(2^29-1,245969)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:09:35 2004
Input: gcd(2^29-1,(245969^2)-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:09:54 2004
Input: gcd((2^29-1)^2-1,(245969^2)-1)
Output: 480
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:10:07 2004
Input: gcd((2^29)^2-1,(245969^2)-1)
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:10:25 2004
Input: gcd((2^29-1)^2-1,(245969^2))
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:10:31 2004
Input: gcd((2^29-1),(245969^2))
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:11:08 2004
Input: gcd((2^29-1),(245969^2))
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:11:36 2004
Input: gcd((2^29-1),(245969^2))
lcm((245969^2)-1,245969)
Output: 1103
14881308720942240
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:11:59 2004
Input: gcd((2^29-1),(245969^2))
gcd(lcm((245969^2)-1,245969),24569)
Output: 1103
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:12:04 2004
Input: gcd((2^29-1),(245969^2))
gcd(lcm((245969^2)-1,245969),245969)
Output: 1103
245969
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:12:42 2004
Input: gcd(29,(245969^2))
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:12:47 2004
Input: gcd(29,(245969^2)-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:13:01 2004
Input: gcd(2^29-1,(245969^2)-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:13:12 2004
Input: gcd(2^29-1,245969)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:13:16 2004
Input: (2^29-1,245969)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: (2^29-1,245969)
^--------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:13:24 2004
Input: 2^29-1,245969
Output:
Errors (if any) and Timing Info: *** unused characters: 2^29-1,245969
^-------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:13:28 2004
Input: 2^29-1/245969
Output: 132053601353727/245969
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:14:18 2004
Input: gcd(2^29-1,245969+28)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:14:35 2004
Input: gcd(2^29-1,245968)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:15:57 2004
Input: gcd(2^29-1,60505176484)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:16:03 2004
Input: gcd(2^29-1,60505176484-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:16:09 2004
Input: gcd(2^29-1,60505176484+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:16:16 2004
Input: gcd(29,60505176484+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:16:21 2004
Input: gcd(29,60505176484)
Output: 29
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:16:34 2004
Input: gcd(29,60505176484)
60505176484/29
Output: 29
2086385396
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 04:45:09 2004
Input: x = 233;
gcd(x,x^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 05:14:51 2004
Input: gcd(1089,2047)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:02:09 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
gcd(a-1,b-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
7560
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:02:45 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
gcd(a-1,b-1)
gcd(a-1,c-1)
gcd(c-1,b-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
7560
216
9504
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:03:35 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:04:07 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d-1 (a*b*c)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd(d-1(a*b*c)-1)
^----------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:04:21 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d-1, (a*b*c)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
54
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:04:34 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d-1, (a*b*c)^2-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
54
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:04:49 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d-1, (a-1*b-1*c-1)^2-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
3
Errors (if any) and Timing Info:
Timing:
real 0m0.135s
user 0m0.060s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:04:58 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d-1, (a-1*b-1*c-1))
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:05:10 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d-1, (a-1*b-1*c-1)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
3
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:05:22 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d, (a-1*b-1*c-1)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:05:36 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d, (a-1*b-1*c-1))
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 06:05:51 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
b=51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
c=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
gcd(d-1,a-1)
gcd(d-1,b-1)
gcd(d-1,c-1)
gcd(d-1,b-1)
gcd(d, (a*b*c)-1)
Output: 35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
51001264246554923426512935206051621120025607714695965533761488057718965836780582760080565615420773495226910862271611985727454588863218335227397686595581846602653852094611868252256902497185121570561
218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
270
8910
594
8910
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:27:13 2004
Input: 663^2-440^2
Output: 245969
Errors (if any) and Timing Info:
Timing:
real 0m0.248s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:30:17 2004
Input: 56^2+66^2
Output: 7492
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:34:03 2004
Input: 56^2+33^2
Output: 4225
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:35:01 2004
Input: 56^2+33^2
440^2+663^2
Output: 4225
633169
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:35:59 2004
Input: 56^2+33^2
440^2+663^2
89264^2+89217^
Output: 4225
633169
Errors (if any) and Timing Info: *** unexpected character: 89264^2+89217^
^
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:36:05 2004
Input: 56^2+33^2
440^2+663^2
89264^2+89217^2
Output: 4225
633169
15927734785
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:36:26 2004
Input: 56^2+33^2
440^2+663^2
89264^2-89217^2
Output: 4225
633169
8388607
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 22 07:36:54 2004
Input: 56^2-33^2
440^2-663^2
89264^2-89217^2
Output: 2047
-245969
8388607
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host knox.pace.edu. (198.105.45.18)
Time: Thu Jul 22 12:01:46 2004
Input: 45*87
Output: 3915
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Thu Jul 22 14:00:25 2004
Input: 2**100
Output:
Errors (if any) and Timing Info: *** unexpected character: 2**100
^----
Timing:
real 0m0.119s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Thu Jul 22 14:00:42 2004
Input: 2^100
Output: 1267650600228229401496703205376
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Thu Jul 22 14:00:49 2004
Input: 2^1000
Output: 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Thu Jul 22 14:01:03 2004
Input: 2^10000
Output: 19950631168807583848837421626835850838234968318861924548520089498529438830221946631919961684036194597899331129423209124271556491349413781117593785932096323957855730046793794526765246551266059895520550086918193311542508608460618104685509074866089624888090489894838009253941633257850621568309473902556912388065225096643874441046759871626985453222868538161694315775629640762836880760732228535091641476183956381458969463899410840960536267821064621427333394036525565649530603142680234969400335934316651459297773279665775606172582031407994198179607378245683762280037302885487251900834464581454650557929601414833921615734588139257095379769119277800826957735674444123062018757836325502728323789270710373802866393031428133241401624195671690574061419654342324638801248856147305207431992259611796250130992860241708340807605932320161268492288496255841312844061536738951487114256315111089745514203313820202931640957596464756010405845841566072044962867016515061920631004186422275908670900574606417856951911456055068251250406007519842261898059237118054444788072906395242548339221982707404473162376760846613033778706039803413197133493654622700563169937455508241780972810983291314403571877524768509857276937926433221599399876886660808368837838027643282775172273657572744784112294389733810861607423253291974813120197604178281965697475898164531258434135959862784130128185406283476649088690521047580882615823961985770122407044330583075869039319604603404973156583208672105913300903752823415539745394397715257455290510212310947321610753474825740775273986348298498340756937955646638621874569499279016572103701364433135817214311791398222983845847334440270964182851005072927748364550578634501100852987812389473928699540834346158807043959118985815145779177143619698728131459483783202081474982171858011389071228250905826817436220577475921417653715687725614904582904992461028630081535583308130101987675856234343538955409175623400844887526162643568648833519463720377293240094456246923254350400678027273837755376406726898636241037491410966718557050759098100246789880178271925953381282421954028302759408448955014676668389697996886241636313376393903373455801407636741877711055384225739499110186468219696581651485130494222369947714763069155468217682876200362777257723781365331611196811280792669481887201298643660768551639860534602297871557517947385246369446923087894265948217008051120322365496288169035739121368338393591756418733850510970271613915439590991598154654417336311656936031122249937969999226781732358023111862644575299135758175008199839236284615249881088960232244362173771618086357015468484058622329792853875623486556440536962622018963571028812361567512543338303270029097668650568557157505516727518899194129711337690149916181315171544007728650573189557450920330185304847113818315407324053319038462084036421763703911550639789000742853672196280903477974533320468368795868580237952218629120080742819551317948157624448298518461509704888027274721574688131594750409732115080498190455803416826949787141316063210686391511681774304792596709376
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host oproxy3.rockwellcollins.com. (205.175.225.23)
Time: Thu Jul 22 14:01:40 2004
Input: 2^100000
Output: 9990020930143845079440327643300335909804291390541816917715292738631458324642573483274873313324496504031643944455558549300187996607656176562908471354247492875198889629873671093246350427373112479265800278531241088737085605287228390164568691026850675923517914697052857644696801524832345475543250292786520806957770971741102232042976351205330777996897925116619870771785775955521720081320295204617949229259295623920965797873558158667525495797313144806249260261837941305080582686031535134178739622834990886357758062104606636372130587795322344972010808486369541401835851359858035603574021872908155566580607186461268972839794621842267579349638893357247588761959137656762411125020708704870465179396398710109200363934745618090601613377898560296863598558024761448933047052222860131377095958357319485898496404572383875170702242332633436894423297381877733153286944217936125301907868903603663283161502726139934152804071171914923903341874935394455896301292197256417717233543544751552379310892268182402452755752094704642185943862865632744231332084742221551493315002717750064228826211822549349600557457334964678483269180951895955769174509673224417740432840455882109137905375646772139976621785265057169854834562487518322383250318645505472114369934167981678170255122812978065194806295405339154657479941297499190348507544336414505631657396006693382427316434039580121280260984212247514207834712224831410304068603719640161855741656439472253464945249700314509890093162268952744428705476425472253167514521182231455388374308232642200633025137533129365164341725206256155311794738619142904761445654927128418175183531327052975495370561438239573227939673030106077456848477427832195349227983836436163764742969545906672369124136325932123335643135894465219101882123829740907916386023235450959388766736403229577993901152154448003637215069115591111996001530589107729421032230424262035693493216052927569625858445822354594645276923108197305806280326516736449343761732409753342333289730282959173569273013286423311759605230495171677033163709522256952460402143387655197644016528148022348331881097559421960476479388520198541017348985948511005469246617234143135309938405923268953586538886974427008607028635502085562029549352480050796521564919683265106744100967822951954161617717542997520009887307377876210685890770969411610438028623950445323789591870760289260393489826100774887672852918106468489143893649064784591211612193300707900537059042188012856559403699070888032966871611655961232331998310923225082866180321880439447572986762096935819784385927969250123326935194693207724335527365566248223787833888074999276831633440318604463618703789784313032843823470410944306591471928341190975185239212327674384990561563688432939039442002617530976850605132937101449086396141620556053547335569926700941375271829142407234267937565069765567475934101310225342830080409079587329544213551307302050171598424230760469209732907290141606353960880559202357376885647852240092777111489134492416995607171786298436533978180869474106751111353523711540436599310889697485658800887861974934357929246204051767246012250618404011966289872673803070498361217974484679100747846356194664829224736134115135567179291781968056053726484141128347858241259121954601184412409349782963317042002530418661694962318735860652485410222211869544223788289189712080514575141361964805369723164570564998479537657174548128597406077339158775332355215609435919275199351014222246963017013717419337504919295363295101115292951836282819191821651676455946515828048984256116748150367805267878662716999649296949377045794876146628110929982020737013330324451005385378551188803474148198665114579322684900993000236736168555294173442059925371965244997925483159343706343970371809611470323074186985035054722289027174850333368328300281132910841693150457389933183934593292994942796015309756118708918929528449074243284767006243171171622731766606796101967802204564589015899524704741001158110963633731329388356868949408759334176909387806398584647300588928175998844477486130063153068760070084837267527789777356830042778902772105683833021470279728595336332110564064263909724579949686162908019604141753935768876587992428549912151737924270343248648414247456838889541893241450987505759403013249697541696955330296880219304874163501097920036210238768275176369980977614979636096704348140124130683576879904997436596296495705459524735382000363770324894982103331332913562315169854410415317054193928234723398848453552173203688088312100943941434938282203549650281530751087098604681224802973825631244989331965296202372608586509050307993308652001231671915182765742095689513136184095412121473786311042897717861448158316965848766949554826252504961227044714712229620274682362909803877469376987358942125441792355298387479830450253909788733469732603097544156474805473732732767248652759034995336354126953900458854988683574927864615252040800490114785892289085443353996994780867471613519785838571456421583171193004117989440790268346357550339888086725127883577297626499213827436573992927302238792576924232785487201297255386071968303782483063725899808484638503828356258403917311872694381464553651690062530023217591343084755215901475299149215296944362366910833233693767993138209275870024246238331218236715236772098417187703860172308522448043176333602759733161201262248323085329288986154559221427378507410978822244729512663572225567169779409767341543017289268332635077451210167869121334465680739797372711461919299938118178827541421792926883790285430909942441260511945849237909966329550263865701114884142266162969810073652710928504579470861508094054577797864301504899958634164700528220562786008864025709432444254044034243140203812074857537999016066465520986980790589347320243050635907363821521280600041827529325485247927904235727598574209554632363830932428250711518801775633739811523761994686263270550635099851254333875594601540900862014293625673738331693082328854327001487476635118830885173775268819526360165345900556160767713453617655450974424979076063906093300028416964847594027046669468486593636425428625241644836652173922586528474244952363302305311413449332339822336551611431469131900170488226836525916399723912626616140205707996727383529597479125488961419287261259757561701592645823541151922177253919651034344793680369057003813056557866311011476313189571556336518727757991908862890765494952019474922148851417079252352394293801701149485239005844358329748769279941586384640877265901749104933238853465429979253900561311562288241147192158137210120267399648622831610430287268739840335142120299516610846193164688075944526965248570070554452152547493450434852917987512185973647190461515413582582139040172118295702327537027389787793506904044938553587650503557155872873201596885061331145477101575699375441097493374115991199114962726801718038950907803041184400075585468560976965669584325627283327416418044590727844680051360774154288412712456353383625469068936430902068216750459819321744513362913853983154560610459692604508787700304184579153478291725762810632722108035826060904572460619204237580363147200158749075361633785243462298769917887808671453928846572417223504887766803869453474588831907597355292800709241471370696647029530700507083091412492771404776193459007315206233634226128137074504162520473449597415678882003845446774388950379192344594171245510231738995030348421937088083329709108176561010708693158020695060096428352046647333361163476664106311247065173802510599409266908984046663298613648854871230659903565772327667696057187057276814394932559371368029375974604116075641599919402266794230681485723361363592903676841480358328093127506801111571615062761556607158236612268544268330274725849294875852089790850962835235527978491475563744318483993474633300330972497012808415900969455190375849945750379465019166009861502794606130794726898507849610303884846035423392175449505876157130344700415823080225786693300512126831846009510203543174323783292176865976076275412421892808138872880175813109296020150746331979561488146333412674896256883784351178477592660577212734269328382384711746083782209939646612308343952169576581065423771981899573840430315930973215059901371218399762585055435459516340055149080565627330475362528926945020226163130902420795006258931367813005222140742964756194053782182452833097021554210929638693005460011927178302761563505715735405672652524175925436371863471836292012162456662093642074605500842449347289830619506077570528754845277680661218358066130291463288932240701043887535007851997159198390084654596996197138399723495863749806582439384615049184048485819193560667125968018574877819561104335238420873417743385185735663101292757409280586840011804854994149478736882949368786637202682607198707656286436753775709560349718397405565505269425218354301348910785234517795519757516484711545928466003754558485470994737493796615841040414239875763335201795518644856632201598556341934286668912522153446348791218159622744525372314219184738770596659942181275403613660438538829201810204850917717791485256026242529802492309229562177062770027659288158473994804255067730903420043491632913588644627415318468517462580180901314477358637486528221274450661883667873545037139535563260349778209992416559111602097437491432360787879331015052417047437823553506205617017572175387061751192919715660363028302343819584946594328460482931960515124867123604625653903565173322856758210937541222674223847046664733620292824834065137814475367747671882220098389682019784216724015491253360436437847479770633657905418133523010804559958547379685864708937791659340223795537045273849435441105983887969741143051069401271065628507537039823308867819868298171415185218271493613110963984021912448323423901392553811725954153209435002954807640291982765741514042956666953177304003358701503703497424897898108939453026976878231557938158928996868766367603579055322794822757659104812835219745724022347569914650240636730492833286151875049129873457930874999488048681250802904606446223569562767964898914869924201946458521355165709887118378290437174375625282606140534611987395334677500936625746765638459629521872262777473480491233965194281353725068660782076683862565487279038020486778099991
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.420s
user 0m0.280s
sys 0m0.130s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 02:11:46 2004
Input: (9303566201133291683996856107555769425055550895006840647160549767261729682167365769152925654455501900038403139609404401697463216287510105466508432170801 - 39096187556642394531977525045534720382003169681)/3960
Output: 2349385404326588809090115178675699349761502751264353698777916607894376182365496406351748902640278257585445465510567615985588696657188022915688492172
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 02:13:27 2004
Input: (9303566201133291683996856107555769425055550895006840647160549767261729682167365769152925654455501900038403139609404401697463216287510105466508432170801 - 39096187556642394531977525045534720382003169681)/(3960*2)
Output: 1174692702163294404545057589337849674880751375632176849388958303947188091182748203175874451320139128792722732755283807992794348328594011457844246086
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 02:13:34 2004
Input: (9303566201133291683996856107555769425055550895006840647160549767261729682167365769152925654455501900038403139609404401697463216287510105466508432170801 - 39096187556642394531977525045534720382003169681)/(3960*2*2)
Output: 587346351081647202272528794668924837440375687816088424694479151973594045591374101587937225660069564396361366377641903996397174164297005728922123043
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:55:22 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241
gcd(a,b)
Output: 106638643913461155414345241
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:55:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
Output: 8910
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:56:25 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
gcd(2^80190-1,a)
Output: 8910
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:56:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
gcd(2^80190-1,a-1)
Output: 8910
8019
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:56:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
gcd(2^495-1,a-1)
Output: 8910
1
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:57:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
gcd(2^1980-1,a-1)
Output: 8910
1485
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:57:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
gcd(2^2475-1,a-1)
Output: 8910
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:57:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
gcd(2^3465-1,a-1)
Output: 8910
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:58:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
gcd(a-1,b-1)
n=3465
gcd(2^n-1,a-1)
gcd(2^n-1,a)
Output: 8910
3465
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:58:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1980
gcd(2^n-1,a-1)
gcd(2^n-1,a)
Output: 1980
1485
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:58:48 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=80190
gcd(2^n-1,a-1)
gcd(2^n-1,a)
Output: 80190
8019
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:59:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1980
gcd(2^n-1,a-1)
gcd(2^n-1,a)
Output: 1980
1485
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:59:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
gcd(2^n-1,a-1)
gcd(2^n-1,a)
Output: 1485
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 04:59:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
gcd(2^n-1,a-1)
gcd(2^n-1,a)
gcd(2^n-2,a-1)
gcd(2^n,a-1)
Output: 1485
1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
30
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 05:00:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
gcd(2^n-1,b-1)
gcd(2^n-1,b)
gcd(2^n-2,b-1)
gcd(2^n,b-1)
Output: 1485
1
106638643913461155414345241
30
8
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 05:00:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
a-1/b-1
gcd(2^n-1,b-1)
gcd(2^n-1,b)
gcd(2^n-2,b-1)
gcd(2^n,b-1)
Output: 1485
84834801100310849502580816626780652486254747860749400781999013989260755836797089926761643707936617584427652947417368243075449442171819401238113374811676885519629/106638643913461155414345241
1
106638643913461155414345241
30
8
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 05:01:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
(a-1)/(b-1)
gcd(2^n-1,b-1)
gcd(2^n-1,b)
gcd(2^n-2,b-1)
gcd(2^n,b-1)
Output: 1485
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673/11968422436976560652564
1
106638643913461155414345241
30
8
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 05:01:58 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
(a-1)/(b-1)
gcd(2^n-1,b-1)
gcd(2^n-1,b)
gcd(2^n-2,b-1)
gcd(a-1,b-1)
Output: 1485
89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673/11968422436976560652564
1
106638643913461155414345241
30
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 05:25:32 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
n=1485
(b-1)/n
Output: 1485
71810534621859363915384
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 05:28:52 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 ;
c=41474191991662290237557273281;
n=1485
(c-1)/n
Output: 1485
27928748815934202180173248
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host cache3.nottingham.ac.uk. (128.243.220.41)
Time: Fri Jul 23 10:50:24 2004
Input: cyc:=CyclotomicField(8);
cu:=FunctionField(cyc);
R:=PolynomialRing(cu,4);
F:=X^2+z^2/(u^2-z*u+z^2);
Discriminant(F,1);
Output:
Errors (if any) and Timing Info: *** unexpected character: cyc:=CyclotomicField(8)
^--------------------
*** unexpected character: cu:=FunctionField(cyc)
^--------------------
*** unused characters: R:=PolynomialR
^--------------------
*** unexpected character: F:=X^2+z^2/(u^2-z*u+z^
^--------------------
*** unknown function or error in formal parameters: Discriminant(F,1);
^------------------
Timing:
real 0m0.071s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host Mix-Dijon-115-2-114.w80-9.abo.wanadoo.fr. (80.9.101.114)
Time: Fri Jul 23 13:40:45 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:28:19 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=5568746806121136170015853100852611037347784378599211212380793542241435965584766110296989986008381947890168290155276938523237985801785017;
gcd(c,d)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:29:05 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=24661592998536460181498778018061563165397330819510792511972085687069216419018249917029527080894262912085030999259083584888625365693619361;
gcd(c,d)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:44:00 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=746470507394228087900416687;
gcd(c,d)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:44:13 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=746470507394228087900416687;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:44:24 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=76078900315934780454845352188844691320334474388663;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
22
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:44:53 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=746470507394228087900416687;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:45:01 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=23154447922241020138431194144430993010536579161767;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:45:15 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=73885843319871095261733940514879298696622224105198497;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:45:28 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=16102435230932634467566131391;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
30
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:45:40 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=532552302211543463183917465321912839242341320720641;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
10
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:45:51 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=102541126512781660613052431211051540475233422002111;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
30
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:46:20 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=9490839308298042831876726449;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
22
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.020s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:46:31 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=294392266439921541760053754122051196848250792199609;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
22
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:48:38 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
gcd(c,d)
gcd(c-1,d-1)
Output: 1
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:49:37 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
gcd(c,d)
gcd(c-1,d-1)
lcm(10,11*8910)
Output: 1
8910
98010
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:49:57 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
gcd(c,d)
gcd(c-1,d-1)
lcm(10*11,8910)
Output: 1
8910
8910
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:51:33 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
d-1/8910
Output: 950150317268938894741816097309/8910
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:51:42 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
c-1/8910
Output: 7088219148934189039263035875513823477538394116188424557473267208767313493337180863249454396476383307957342780754788217463150064784843500209/8910
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:52:37 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
c-1/8910
Output: 7088219148934189039263035875513823477538394116188424557473267208767313493337180863249454396476383307957342780754788217463150064784843500209/8910
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:52:50 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
(c-1)/8910
Output: 89285663077138627064547909264912795211604687808228494667000056793994483976026392661487734263401987299826331411821018735341317713673
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:54:59 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Output: 80190
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:55:37 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
gcd(d-1,e-1)
Output: 80190
8
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:56:05 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
(e-1)/8
gcd(d-1,e-1)
Output: 80190
1240078653849147598118720962012677711272287330669840203708334122138812277444811009187329642547249823608699047386403037990851634912
8
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:56:38 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
f=(e-1)/8
gcd(d-1,f))
Output: 80190
1240078653849147598118720962012677711272287330669840203708334122138812277444811009187329642547249823608699047386403037990851634912
Errors (if any) and Timing Info: *** unused characters: gcd(d-1,f))
^-
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:56:45 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
f=(e-1)/8
gcd(d-1,f)
Output: 80190
1240078653849147598118720962012677711272287330669840203708334122138812277444811009187329642547249823608699047386403037990851634912
8
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:57:09 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
f=(e-1)/8
gcd(d,f+1)
Output: 80190
1240078653849147598118720962012677711272287330669840203708334122138812277444811009187329642547249823608699047386403037990851634912
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:57:43 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
f=(e-1)/(8*8)
gcd(d,f+1)
gcd(d-1,f)
Output: 80190
155009831731143449764840120251584713909035916333730025463541765267351534680601376148416205318406227951087380923300379748856454364
1
4
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:57:53 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
(c-1)/9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
f=(e-1)/(8*8*4)
gcd(d,f+1)
gcd(d-1,f)
Output: 80190
38752457932785862441210030062896178477258979083432506365885441316837883670150344037104051329601556987771845230825094937214113591
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 22:58:25 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297;
f=(e-1)/(8*8*4)
gcd(d,f+1)
gcd(d-1,f)
Output: 38752457932785862441210030062896178477258979083432506365885441316837883670150344037104051329601556987771845230825094937214113591
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:00:02 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 ;
f=(e-1)/(8*8*4)
gcd(d,f+1)
gcd(d-1,f)
Output: 2473318092890203069873990231288495692446261729773835102259476682840613825580250676260231918496750661/128
1/128
1/128
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:00:15 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 ;
f=(e-1)/(8)
gcd(d,f+1)
gcd(d-1,f)
Output: 2473318092890203069873990231288495692446261729773835102259476682840613825580250676260231918496750661/4
1/4
1/4
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:00:21 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=4946636185780406139747980462576991384892523459547670204518953365681227651160501352520463836993501323 ;
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 2473318092890203069873990231288495692446261729773835102259476682840613825580250676260231918496750661
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:00:39 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=6222033388246088261 ;
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 3111016694123044130
1
10
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:01:28 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=a*b*c;
(2^1485-1)/e
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 3814460523098144654763677202481832343944226149004159306358092319317019096025967474616649644324032712069923880937570820414602469818252595578512908982031098993910987818840539631560322572549587523316120534349327494130443686324927824970345481
140307356005058768451719061817818256392812698569070356820863721508065802431420117537224334929202913010690610208390504879554303393513432867860444883501517010603223588315627195428989781453067977158011804896399075
1
4455
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:03:23 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=35574349339367979639584869736769903228161701192751096761303187446631953446596607258069650901674395718092063994794798031319558303318023464353607879892251033;
(2^1485-1)/e
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 30088919714368694761976475682203161601422593656526756149239484721280035096013992416997477165041934199338999470378034243320913906256690354805462878141295889211513842566605473875660248770467549337160767592721290852619533326039722629217454356773378737265031454448478020562332385823522103651134807
17787174669683989819792434868384951614080850596375548380651593723315976723298303629034825450837197859046031997397399015659779151659011732176803939946125516
1
12
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:05:03 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=57370151616659367568355912155698476714865843913475043843510279290010438923500344675765848741064357025524756391041249801246623;
(2^1485-1)/e
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/57370151616659367568355912155698476714865843913475043843510279290010438923500344675765848741064357025524756391041249801246623
28685075808329683784177956077849238357432921956737521921755139645005219461750172337882924370532178512762378195520624900623311
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:05:28 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=28685075808329683784177956077849238357432921956737521921755139645005219461750172337882924370532178512762378195520624900623311;
(2^1485-1)/e
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/28685075808329683784177956077849238357432921956737521921755139645005219461750172337882924370532178512762378195520624900623311
14342537904164841892088978038924619178716460978368760960877569822502609730875086168941462185266089256381189097760312450311655
1
5
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:06:10 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
(2^1485-1)/e
f=(e-1)/(2)
gcd(d,f+1)
gcd(d-1,f)
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581
1263558648120672979289689541077004294652468811344915937412380641155596115459942786273057525549272290
1
270
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:59:12 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^1485-1;
gcd((c^2)-1,(f^2)-1)
Output: 1920
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Fri Jul 23 23:59:31 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^1485-1;
gcd((c^2),(f^2))
Output: 632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197761
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:00:05 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^1485-1;
gcd((c^2),(f^2))/c
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:00:18 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^1485-1;
gcd((c^2)-1,(f^2))
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:00:26 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^1485-1;
gcd((c^2),(f^2)-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:04:27 2004
Input: gcd(2^29-1,66048486000)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:04:35 2004
Input: gcd(2^29-1,66048486000+1)
Output: 256999
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host Toronto-HSE-ppp3718401.sympatico.ca. (65.95.48.132)
Time: Sat Jul 24 00:04:40 2004
Input: 2+3
Output: 5
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:04:42 2004
Input: gcd(2^29-1,66048486000-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:04:53 2004
Input: gcd(2^233-1,66048486000)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:04:58 2004
Input: gcd(2^233-1,66048486000-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:05:03 2004
Input: gcd(2^233-1,66048486000+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:05:16 2004
Input: gcd(29,66048486000)
Output: 29
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:06:43 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^35925120-1;
gcd((c^2)-1,(f^2)-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.002s
user 0m20.930s
sys 0m0.070s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:07:08 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^88704-1;
gcd(c,f)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:17:36 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^626967-1;
gcd(c,f)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:17:44 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^626967;
gcd(c,f)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:18:25 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^ 1491777-1;
gcd(c,f)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:26:09 2004
Input: gcd(3^29-1,256999)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:26:16 2004
Input: gcd(3^29,256999)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:26:20 2004
Input: gcd(3^28,256999)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:26:27 2004
Input: gcd(3^232-1,256999)
Output: 233
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:26:49 2004
Input: gcd(2^232-1,256999)
Output: 256999
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:32:12 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^ 1491777-1;
gcd(c,f)
c^2
Output: 1
632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197761
Errors (if any) and Timing Info:
Timing:
real 0m0.082s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:33:07 2004
Input: a=3307778274605860019775884877775856144362368451681;
b=106638643913461155414345241;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=106638643913461155414345241;
e=2527117296241345958579379082154008589304937622689831874824761282311192230919885572546115051098544581 ;
f=2^ 1491777-1;
gcd(c,f)
c^2-1
Output: 1
632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197760
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:37:33 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
f=2^ 1491777-1;
gcd(c,a)
gcd(c-1,a-1)
gcd(c-1,a)
gcd(c,b)
gcd(c-1,b-1)
gcd(c-1,b)
c^2-1
Output: 1
2
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
66
1
632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197760
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 00:37:48 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
f=2^ 1491777-1;
gcd(c,a)
gcd(c-1,a-1)
gcd(c-1,a)
gcd(c,b)
gcd(c-1,b-1)
gcd(c-1,b)
Output: 1
2
9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
66
1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:25:22 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(3^1901-1)/c
Output: 10174315999891187010861500405673250984437620086885300307461889097279156839721898224909823374175000012158928657882049239670273575841035905056723677038512832615154731445243632063811642417991806569617423987010439717777564704376753099832013785314469312806388084688626187745735549286984798205161239357828262984436257186515724364381952396867056678929887114607037862444616843023430669384374989880643730940483247353384348444010747772902793043827840474084931402079722041008955143446877836538290347243070494256373111129706211935361043131537178577286680423434015824881456288005781064376336603967365148418128187119689891822194486670632554359703277510921642175052521989980944962126218545733761445956638277127243105308643497622826472471871767964328924717306137458933525345308328064663324680376696805814818848574114469246385097478303058908930170330742919544896425342626173513963610712585170263654313841676774722744420754002/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:25:40 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((3^1901-1),c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:25:50 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(((3^1901)-1),c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:25:55 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(((3^1900)-1),c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:26:09 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(((3^1901)-1)^2,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:26:22 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((3^1901)-1)^2)-1,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:26:27 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((3^1901)-1)^2)-1,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:26:31 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((2^1901)-1)^2)-1,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:26:40 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((2^1901)-1)^2)-1,c^2-1)
Output: 21120
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:26:55 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((3^1901)-1)^2)-1,c^2-1)
Output: 729
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:00 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((4^1901)-1)^2)-1,c^2-1)
Output: 896
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:07 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((5^1901)-1)^2)-1,c^2-1)
Output: 135
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:12 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((6^1901)-1)^2)-1,c^2-1)
Output: 93312
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:18 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((7^1901)-1)^2)-1,c^2-1)
Output: 35
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:23 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((8^1901)-1)^2)-1,c^2-1)
Output: 384
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:28 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((9^1901)-1)^2)-1,c^2-1)
Output: 729
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:27:34 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd((((10^1901)-1)^2)-1,c^2-1)
Output: 640
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:13 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=10
gcd((((10^1901)-1)^2)-1,c^2-1)
gcd((((10^1901)-1),c-1)
Output: 10
640
Errors (if any) and Timing Info: *** expected character: ')' instead of: gcd((((10^1901)-1),c-1)
^-----
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:27 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=10
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 10
640
9
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:32 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 2
21120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:36 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=3
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 3
729
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:40 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=4
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 4
896
3
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:44 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=5
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 5
135
2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:50 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=6
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 6
93312
5
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.010s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:28:55 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=6
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 6
93312
5
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:00 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=7
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 7
35
6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:04 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=8
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 8
384
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.010s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:09 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=9
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 9
729
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:15 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=10
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 10
640
9
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:19 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=11
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 11
231
10
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:24 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=12
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 12
466560
11
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:35 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=13
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 13
11
6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.010s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:41 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=14
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 14
8064
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:46 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=15
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 15
3645
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:51 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=16
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 16
128
15
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:29:56 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=17
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 17
15
2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:30:04 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=495
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 495
40095
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:39:37 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=297
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 297
40095
2
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:39:47 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=1901
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 1901
21
10
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:39:54 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=23
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 23
9
22
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:39:59 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=24
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 24
1026432
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:40:06 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=144
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 144
653184
11
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:40:21 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11813*17
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 42172410
3265920
1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:40:54 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11813*17*19*23*29*31
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 16567979509830
3265920
11
Errors (if any) and Timing Info:
Timing:
real 0m0.084s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:41:04 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11*13*17*19*23*29*31
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c-1)
Output: 200560490130
35925120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:41:19 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11*13*17*19*23*29*31
gcd((((d^1901)-1)^2)-1,c^2-1)
gcd(((d^1901)-1),c)
Output: 200560490130
35925120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:41:38 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11*13*17*19*23*29*31
gcd((((d^3802)-1)^2)-1,c^2-1)
gcd(((d^3802)-1),c)
Output: 200560490130
35925120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.120s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:41:54 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11*13*17*19*23*29*31
gcd((((d^3800)-1)^2)-1,c^2-1)
gcd(((d^3800)-1),c)
Output: 200560490130
35925120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.122s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 01:42:02 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=2*3*5*7*11*13*17*19*23*29*31
gcd((((d^3801)-1)^2)-1,c^2-1)
gcd(((d^3801)-1),c)
Output: 200560490130
35925120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.122s
user 0m0.110s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 02:19:29 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=6084777159537635796550536863741698483921
gcd((((d^3801)-1)^2)-1,c^2-1)
gcd(((d^3801)-1),c)
Output: 6084777159537635796550536863741698483921
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.555s
user 0m0.530s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 02:19:48 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=6084777159537635796550536863741698483921
((2^1485-1)/d
Output: 6084777159537635796550536863741698483921
Errors (if any) and Timing Info: *** expected character: ')' instead of: ((2^1485-1)/d
^
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 02:19:58 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=6084777159537635796550536863741698483921
((2^1485)-1)/d
Output: 6084777159537635796550536863741698483921
175913384023497124555359367760975317836336050357311295534611217505673198362701058818841441430968673894980257384785403177488300707841098285542763785042876105647955532191138848919496883419115921683247489556686443497397740678186201765737575736768292030663257510282950693811789142224525625885189343699837546110894986133045397594944399667534592477464665984774162717452865205408649281292440365848997329306737282511
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 02:20:12 2004
Input: a=9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297 ;
b=959165593369923415348201625470889049846686156527560800859467971682156641780855032528168911182969204846733376620178053528500297;
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=6084777159537635796550536863741698483921
((2^1485)-1)/d
c/d
Output: 6084777159537635796550536863741698483921
175913384023497124555359367760975317836336050357311295534611217505673198362701058818841441430968673894980257384785403177488300707841098285542763785042876105647955532191138848919496883419115921683247489556686443497397740678186201765737575736768292030663257510282950693811789142224525625885189343699837546110894986133045397594944399667534592477464665984774162717452865205408649281292440365848997329306737282511
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/6084777159537635796550536863741698483921
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 02:46:27 2004
Input: c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=7 * 23 * 31 * 73 * 89 * 151 * 199 * 271 * 631 * 881 * 991 * 3191 * 23311 * 153649 * 201961 *
262657 * 348031 * 599479 * 8950393 * 33057806959 * 49971617830801 * 2048568835297380486760231 * 334202934764737951438594746151 * 6084777159537635796550536863741698483921
((2^1485)-1)/d
gcd(c,d)
Output: 3375405362859888744196060686360752587253811271070648998907821164964440182434882664512249154268560437874372826482944174822276310735819119138591
1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631/d
1
Errors (if any) and Timing Info: *** unexpected character: ...3191*23311*153649*201961*
^
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 02:47:14 2004
Input: c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=7 * 23 * 31 * 73 * 89 * 151 * 199 * 271 * 631 * 881 * 991 * 3191 * 23311 * 153649 * 201961 * 262657 * 348031 * 599479 * 8950393 * 33057806959 * 49971617830801 * 2048568835297380486760231 * 334202934764737951438594746151 * 6084777159537635796550536863741698483921
((2^1485)-1)/d
gcd(c,d)
Output: 1133416598544449242717999697601749276131679745319171180941215813906882856480793766521735658010765191025611401475522257202014968833830680203744783475440694698136941665137179774787480967
944395681638829010200883336436389623031692014542816160233591879110523891209891258982416357125624354891097136117933042236634728883887834524425575368680129227729533086469407194774867450932579967643792273360255450320926441512608313915000338873037713301765321085237193
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:10:28 2004
Input: a=3307778274605860019775884877775856144362368451681
b=170886618823141738081830950807292771648313599433
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=7 * 23 * 31 * 73 * 89 * 151 * 199 * 271 * 631 * 881 * 991 * 3191 * 23311 * 153649 * 201961 * 262657 * 348031 * 599479 * 8950393 * 33057806959 * 49971617830801 * 2048568835297380486760231 * 334202934764737951438594746151 * 6084777159537635796550536863741698483921
gcd(((2^1485)-1),d)
gcd(c,((2^1485)-1)/b)
Output: 3307778274605860019775884877775856144362368451681
170886618823141738081830950807292771648313599433
1133416598544449242717999697601749276131679745319171180941215813906882856480793766521735658010765191025611401475522257202014968833830680203744783475440694698136941665137179774787480967
1133416598544449242717999697601749276131679745319171180941215813906882856480793766521735658010765191025611401475522257202014968833830680203744783475440694698136941665137179774787480967
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:11:19 2004
Input: a=3307778274605860019775884877775856144362368451681
b=170886618823141738081830950807292771648313599433
c=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
d=7 * 23 * 31 * 73 * 89 * 151 * 199 * 271 * 631 * 881 * 991 * 3191 * 23311 * 153649 * 201961 * 262657 * 348031 * 599479 * 8950393 * 33057806959 * 49971617830801 * 2048568835297380486760231 * 334202934764737951438594746151 * 6084777159537635796550536863741698483921
e=gcd(((2^1485)-1),d)
gcd(c,((2^1485)-1)/a)
gcd(c,e)
Output: 3307778274605860019775884877775856144362368451681
170886618823141738081830950807292771648313599433
1133416598544449242717999697601749276131679745319171180941215813906882856480793766521735658010765191025611401475522257202014968833830680203744783475440694698136941665137179774787480967
1133416598544449242717999697601749276131679745319171180941215813906882856480793766521735658010765191025611401475522257202014968833830680203744783475440694698136941665137179774787480967
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:18:11 2004
Input: ((2^1575)-1)/325985508875527587669607097222667557116221139090131514801
Output: 4064853295341710689601736966761626236499296999852767319719283651559360046087947376575328259386466846646660915190723883177068979139510608464964379011486546014147522060507203201557423020144065638658369210303958772889653159755098859371617629673524359710956452738494478954733073982517856081005391960143690389681233162855756556697523359128255898562199001330173944945196789717660744139020898290699988318957047088297213217967
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:34:45 2004
Input: ((2^3326400)-1)/325985508875527587669607097222667557116221139090131514801
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.002s
user 0m20.920s
sys 0m0.080s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:35:44 2004
Input: ((2^3326400)-1)/325985508875527587669607097222667557116221139090131514801
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.005s
user 0m20.950s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:36:09 2004
Input: ((2^3326400)-1)/325985508875527587669607097222667557116221139090131514801
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.010s
user 0m20.950s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:36:14 2004
Input: ((2^1575)-1)/325985508875527587669607097222667557116221139090131514801
Output: 4064853295341710689601736966761626236499296999852767319719283651559360046087947376575328259386466846646660915190723883177068979139510608464964379011486546014147522060507203201557423020144065638658369210303958772889653159755098859371617629673524359710956452738494478954733073982517856081005391960143690389681233162855756556697523359128255898562199001330173944945196789717660744139020898290699988318957047088297213217967
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:38:52 2004
Input: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/170886618823141738081830950807292771648313599433
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/170886618823141738081830950807292771648313599433
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:39:02 2004
Input: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/272007548484389196113813589140615077929661
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/272007548484389196113813589140615077929661
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:39:13 2004
Input: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/14973866897175265228063698945547
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/14973866897175265228063698945547
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:39:24 2004
Input: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/41523259994275786297957
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/41523259994275786297957
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:39:43 2004
Input: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/242099935645987
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/242099935645987
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:39:51 2004
Input: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/15975607282273
Output: 218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177/15975607282273
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:43:06 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 *
2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621
* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *
33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 *
8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 *
14973866897175265228063698945547 * 272007548484389196113813589140615077929661
* 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
Output: 40192860172421831709899687727211520015020069
4073004826032191369973238467778319116063063283854673473502836637535169567
1
Errors (if any) and Timing Info: *** unexpected character: ...67*73*89*109*199*397*683*
^
*** unexpected character: *246241*262657*27907
^--------------------
*** unexpected character: ...2250152949*6215074747201*
^
*** unexpected character: ...*41523259994275786297957*
^
*** unexpected character: *1708866188231417380
^--------------------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:43:27 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 *
2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *
33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 *
8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 *
14973866897175265228063698945547 * 272007548484389196113813589140615077929661
* 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
Output: 4073004826032191369973238467778319116063063283854673473502836637535169567
1
Errors (if any) and Timing Info: *** unexpected character: ...67*73*89*109*199*397*683*
^
*** unexpected character: ...9*694387*4327489*8950393*
^
*** unexpected character: ...2250152949*6215074747201*
^
*** unexpected character: ...*41523259994275786297957*
^
*** unexpected character: *1708866188231417380
^--------------------
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:43:45 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 *
2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 *
8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 *
14973866897175265228063698945547 * 272007548484389196113813589140615077929661
* 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
Output: 4073004826032191369973238467778319116063063283854673473502836637535169567
1
Errors (if any) and Timing Info: *** unexpected character: ...67*73*89*109*199*397*683*
^
*** unexpected character: ...2250152949*6215074747201*
^
*** unexpected character: ...*41523259994275786297957*
^
*** unexpected character: *1708866188231417380
^--------------------
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:44:06 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 *
2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 * 8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 * 14973866897175265228063698945547 * 272007548484389196113813589140615077929661 * 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info: *** unexpected character: ...67*73*89*109*199*397*683*
^
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:44:35 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 *
2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 * 8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 * 14973866897175265228063698945547 * 272007548484389196113813589140615077929661 * 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
gcd(2^1188-1,a)
Output: 1
1
Errors (if any) and Timing Info: *** unexpected character: ...67*73*89*109*199*397*683*
^
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:45:11 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 *
2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 * 8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 * 14973866897175265228063698945547 * 272007548484389196113813589140615077929661 * 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
gcd(2^1188-1,b)
Output: 1
1
Errors (if any) and Timing Info: *** unexpected character: ...67*73*89*109*199*397*683*
^
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:45:28 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 3^4 * 5 * 7 * 13 * 19 * 23 * 37 * 67 * 73 * 89 * 109 * 199 * 397 * 683 * 2113 * 2377 * 5347 * 20857 * 22573 * 23761 * 42373 * 87211 * 153649 * 235621* 246241 * 262657 * 279073 * 312709 * 599479 * 694387 * 4327489 * 8950393 *33057806959 * 155399494141 * 4712151755917 * 5292250152949 * 6215074747201 * 8463901912489 * 15975607282273 * 242099935645987 * 41523259994275786297957 * 14973866897175265228063698945547 * 272007548484389196113813589140615077929661 * 170886618823141738081830950807292771648313599433 ;
gcd(a,b)
gcd(2^1188-1,b)
Output: 1
4203730336031677396989105882825350459858380064806809062923153519629087082822691801610713998348644085274992900154287497018697492014359536383054592256525565757973511589759763398653486302861341582984977310649183722224449630192441545217258929142099112935726363226498885248709613913032886079296201360468175750624020193541570156956110233448564188094705447055917055
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:50:05 2004
Input: a=218557157716180343402937788541112213551972293387283648111118487932408539268611795240444813453872948942341436545357982384155257865076361215993307477639091547024744180432006948119892791957177702177;
b= 35169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608895 ;
gcd(a,b)
gcd(2^1188-1,b)
Output: 1
5
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:53:53 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 35169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608895 ;
gcd(a,b)
gcd(2^1188-1,b)
Output: 1
5
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:54:20 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 2^4637-1;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:54:28 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 3^4637-1;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:55:03 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 3^5877983 -1;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m12.580s
user 0m12.560s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:55:13 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 2^5877983 -1;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.171s
user 0m0.120s
sys 0m0.050s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:57:50 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 5997426625123442686624181647662581862198502652891562464029617148264318661441392519169487570125426753644286314336136612725998632046126139512394693526354489340889593907492850373795302134822325275642419830080800776243725037114078306868440392166039526966917648574387707649148932199390195981598502510036032468236050070428143429206461269715861883253765158831313003102032481508565990310664636596275384374368376675141022683456264411165052263418671273798682521679554215100982882481352803296656528087779848414584231307607454698501394790974668338661538664186848996217847355310227153062517576090788459711786805590483524800885328852525485415155736491914541009367336108977744103648416060537458383437724429987507272572050797518940508439274531994471095789468925083247444350622259818559621371581028355766692201997823658907589294566253315479492551753815224952460649799452387225690144208068453395160025737753699788448171259925040427598824003186224176185314452525417731471781349322486717029164158879725450367762007595137602044573005864418830833062786859436148698901369012606585275512669004127179400456391448073011013727044422479939703702039444981926731618770572182567769487202367237384340663830217555729994217471;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:58:01 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 5997426625123442686624181647662581862198502652891562464029617148264318661441392519169487570125426753644286314336136612725998632046126139512394693526354489340889593907492850373795302134822325275642419830080800776243725037114078306868440392166039526966917648574387707649148932199390195981598502510036032468236050070428143429206461269715861883253765158831313003102032481508565990310664636596275384374368376675141022683456264411165052263418671273798682521679554215100982882481352803296656528087779848414584231307607454698501394790974668338661538664186848996217847355310227153062517576090788459711786805590483524800885328852525485415155736491914541009367336108977744103648416060537458383437724429987507272572050797518940508439274531994471095789468925083247444350622259818559621371581028355766692201997823658907589294566253315479492551753815224952460649799452387225690144208068453395160025737753699788448171259925040427598824003186224176185314452525417731471781349322486717029164158879725450367762007595137602044573005864418830833062786859436148698901369012606585275512669004127179400456391448073011013727044422479939703702039444981926731618770572182567769487202367237384340663830217555729994217471;
gcd(a-1,b-1)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:58:23 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 5997426625123442686624181647662581862198502652891562464029617148264318661441392519169487570125426753644286314336136612725998632046126139512394693526354489340889593907492850373795302134822325275642419830080800776243725037114078306868440392166039526966917648574387707649148932199390195981598502510036032468236050070428143429206461269715861883253765158831313003102032481508565990310664636596275384374368376675141022683456264411165052263418671273798682521679554215100982882481352803296656528087779848414584231307607454698501394790974668338661538664186848996217847355310227153062517576090788459711786805590483524800885328852525485415155736491914541009367336108977744103648416060537458383437724429987507272572050797518940508439274531994471095789468925083247444350622259818559621371581028355766692201997823658907589294566253315479492551753815224952460649799452387225690144208068453395160025737753699788448171259925040427598824003186224176185314452525417731471781349322486717029164158879725450367762007595137602044573005864418830833062786859436148698901369012606585275512669004127179400456391448073011013727044422479939703702039444981926731618770572182567769487202367237384340663830217555729994217471;
gcd(a-1,2^9274-2)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:58:31 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 5997426625123442686624181647662581862198502652891562464029617148264318661441392519169487570125426753644286314336136612725998632046126139512394693526354489340889593907492850373795302134822325275642419830080800776243725037114078306868440392166039526966917648574387707649148932199390195981598502510036032468236050070428143429206461269715861883253765158831313003102032481508565990310664636596275384374368376675141022683456264411165052263418671273798682521679554215100982882481352803296656528087779848414584231307607454698501394790974668338661538664186848996217847355310227153062517576090788459711786805590483524800885328852525485415155736491914541009367336108977744103648416060537458383437724429987507272572050797518940508439274531994471095789468925083247444350622259818559621371581028355766692201997823658907589294566253315479492551753815224952460649799452387225690144208068453395160025737753699788448171259925040427598824003186224176185314452525417731471781349322486717029164158879725450367762007595137602044573005864418830833062786859436148698901369012606585275512669004127179400456391448073011013727044422479939703702039444981926731618770572182567769487202367237384340663830217555729994217471;
gcd(a-1,2^9274-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 03:58:39 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b= 5997426625123442686624181647662581862198502652891562464029617148264318661441392519169487570125426753644286314336136612725998632046126139512394693526354489340889593907492850373795302134822325275642419830080800776243725037114078306868440392166039526966917648574387707649148932199390195981598502510036032468236050070428143429206461269715861883253765158831313003102032481508565990310664636596275384374368376675141022683456264411165052263418671273798682521679554215100982882481352803296656528087779848414584231307607454698501394790974668338661538664186848996217847355310227153062517576090788459711786805590483524800885328852525485415155736491914541009367336108977744103648416060537458383437724429987507272572050797518940508439274531994471095789468925083247444350622259818559621371581028355766692201997823658907589294566253315479492551753815224952460649799452387225690144208068453395160025737753699788448171259925040427598824003186224176185314452525417731471781349322486717029164158879725450367762007595137602044573005864418830833062786859436148698901369012606585275512669004127179400456391448073011013727044422479939703702039444981926731618770572182567769487202367237384340663830217555729994217471;
gcd(a-1,2^9274-0)
Output: 16
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:14:41 2004
Input: a=31055341681190444478126719755965134571151473925765532041;
((2^3326400)-1)/a
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.000s
user 0m20.920s
sys 0m0.080s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:27:21 2004
Input: a=4123799501879742337097171753935219884236636973702835509033461793103634521 x
115878600746133911431619577691628920232442045029325899879291308206456374151621880216493527647604351680444686783752164921670213412474732646472797970558195234343809492018409440268925448091197283679276871284723289477268277653098372757254714721 ;
b=41688536970675571808147859679250679189790592763001399025644529803249791386346478883695255375342114387199241853041361114023959411807104508948466879674670298846446681368273162721192040444114054740904024750402192174166780624420944426553297904946096400888911472805615666609233015282139810912758968211568197488203188195199477189826562017034483133372295412734352543806355731086678205785309100933879507704093921027796683205165456193890808648975645363247835939426959208663269109414432757756831033440685691252957238144692262447793730473232181231042358271137929410980253116165425029277601539938963381808285951052528168359730964394964561446960526494194572587282133336407148841634304300469373691290771944888120616501340026125124798001739791302382418029562229184057170496192825754799985651310111944703415188480856216083943655807522047366252002088513089533701708110378981860564893781076918773678400042684831145546634404871471074521572911160272273463509456602997449535302217527951327851142205662734107886110257654737558364173806752525112954010695341956132211605738891127199605210111277991890513505756963578014581379007143106431484042863231009621625116889921;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info: *** unused characters: ...2835509033461793103634521x
^-
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:27:40 2004
Input: a=4123799501879742337097171753935219884236636973702835509033461793103634521 x 115878600746133911431619577691628920232442045029325899879291308206456374151621880216493527647604351680444686783752164921670213412474732646472797970558195234343809492018409440268925448091197283679276871284723289477268277653098372757254714721 ;
b=41688536970675571808147859679250679189790592763001399025644529803249791386346478883695255375342114387199241853041361114023959411807104508948466879674670298846446681368273162721192040444114054740904024750402192174166780624420944426553297904946096400888911472805615666609233015282139810912758968211568197488203188195199477189826562017034483133372295412734352543806355731086678205785309100933879507704093921027796683205165456193890808648975645363247835939426959208663269109414432757756831033440685691252957238144692262447793730473232181231042358271137929410980253116165425029277601539938963381808285951052528168359730964394964561446960526494194572587282133336407148841634304300469373691290771944888120616501340026125124798001739791302382418029562229184057170496192825754799985651310111944703415188480856216083943655807522047366252002088513089533701708110378981860564893781076918773678400042684831145546634404871471074521572911160272273463509456602997449535302217527951327851142205662734107886110257654737558364173806752525112954010695341956132211605738891127199605210111277991890513505756963578014581379007143106431484042863231009621625116889921;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info: *** unused characters: ...2835509033461793103634521x1158786007461339114
^--------------------
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:28:32 2004
Input: a=4123799501879742337097171753935219884236636973702835509033461793103634521;
c=115878600746133911431619577691628920232442045029325899879291308206456374151621880216493527647604351680444686783752164921670213412474732646472797970558195234343809492018409440268925448091197283679276871284723289477268277653098372757254714721;
b=41688536970675571808147859679250679189790592763001399025644529803249791386346478883695255375342114387199241853041361114023959411807104508948466879674670298846446681368273162721192040444114054740904024750402192174166780624420944426553297904946096400888911472805615666609233015282139810912758968211568197488203188195199477189826562017034483133372295412734352543806355731086678205785309100933879507704093921027796683205165456193890808648975645363247835939426959208663269109414432757756831033440685691252957238144692262447793730473232181231042358271137929410980253116165425029277601539938963381808285951052528168359730964394964561446960526494194572587282133336407148841634304300469373691290771944888120616501340026125124798001739791302382418029562229184057170496192825754799985651310111944703415188480856216083943655807522047366252002088513089533701708110378981860564893781076918773678400042684831145546634404871471074521572911160272273463509456602997449535302217527951327851142205662734107886110257654737558364173806752525112954010695341956132211605738891127199605210111277991890513505756963578014581379007143106431484042863231009621625116889921;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:28:48 2004
Input: a=4123799501879742337097171753935219884236636973702835509033461793103634521;
c=115878600746133911431619577691628920232442045029325899879291308206456374151621880216493527647604351680444686783752164921670213412474732646472797970558195234343809492018409440268925448091197283679276871284723289477268277653098372757254714721;
b=41688536970675571808147859679250679189790592763001399025644529803249791386346478883695255375342114387199241853041361114023959411807104508948466879674670298846446681368273162721192040444114054740904024750402192174166780624420944426553297904946096400888911472805615666609233015282139810912758968211568197488203188195199477189826562017034483133372295412734352543806355731086678205785309100933879507704093921027796683205165456193890808648975645363247835939426959208663269109414432757756831033440685691252957238144692262447793730473232181231042358271137929410980253116165425029277601539938963381808285951052528168359730964394964561446960526494194572587282133336407148841634304300469373691290771944888120616501340026125124798001739791302382418029562229184057170496192825754799985651310111944703415188480856216083943655807522047366252002088513089533701708110378981860564893781076918773678400042684831145546634404871471074521572911160272273463509456602997449535302217527951327851142205662734107886110257654737558364173806752525112954010695341956132211605738891127199605210111277991890513505756963578014581379007143106431484042863231009621625116889921;
gcd(a,b)
gcd(b,c)
Output: 1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:34:54 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=2^1485-1
gcd(a,b)
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:35:16 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=2^535-1
gcd(a,b)
Output: 112472844863579909570263462692149546471742427957547915827518889315295939516787196757976017152597271428748022765838022378080206651387357492225212879521629096378367
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:35:24 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=2^525-1
gcd(a,b)
Output: 109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 04:35:45 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=2^1050-1;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:14:36 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=89371283318924988713544642472309024678004403189516730060412595564942724011446583991926781827601 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:14:45 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=295845677311385927802340822188610962995309865090692754485103015102753461634318886568104825051 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:14:53 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=2670383929348266924341948931151336592642126516143095249535829086413119821 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:38:28 2004
Input: a=13059210352149606733529404775036023154586871752956798087178673391940951190449085377740873416793004358770660137663397439822846995955261067200932037746050368615013431685012063613275339665251994269446225659149953157661404237247635652082187523399757426800639759453651962539313938621507578848147115200787892070799865808242173847812591263151464644216108030215361173037402349591934134749790155512466980861293721756280591562570827044696201718699732105806480263738856894804467483443405232036889958476816355520795665426805419836958428264485027255707151822543803035920282148444249541621478718022473082130592038140453880494261208043917397924813728915539445285189935489469776807371684116494748404152861642920947038648701064943870446023214470280851684199921509880908902421815542355945556411963056017173845668144744135609553434304497088183923456318487020133687979759159904738270989406402719300901745484166455833881349902883638010290418458483647798034319291367628988610766092845244018739095149136523339769793450331979615400557150410524886438001857957690295279840270629477740764098477058879452745098903220902429984405982518128430508907636708995013252358133015535786391162533874714069722310439236303908005309255919314626635110433363600496400019071473055777502124920999336729039307892734405028195433420634458860397436288956209583387210126707056077118756396941835793192202165989811138814427937809184666378531196348045652931359929921673730592918039954256535379191942207975560969995211786266633933991950982061759525702534957388370716995520374861725234250863902950190113139647308293162473119594699319383692180306174813834082198301742279810818222745205578398636895842818954446529390379255583152347862236796580695939926598448803028789642506604584884682107966878755570425860802323161778883462051241614643885966585158472356381332238842080732895187090035653782606499019609344224441450215076228803849757560736056082329624326510992239210357932192162431761669251011635753878837913245021144470830826099116779981824165201433072325783633108746432581651036779681157987939416547469946082469829334401;
b=1848865242572956283242999212593036139826090781490366169012021830018240425079194910627172882540540618157425523372968447129561474814287402130309178163846693768524324427881852504685618251713509975224223142433560284876809827450962525075326332171411823520546849 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:38:46 2004
Input: a=13059210352149606733529404775036023154586871752956798087178673391940951190449085377740873416793004358770660137663397439822846995955261067200932037746050368615013431685012063613275339665251994269446225659149953157661404237247635652082187523399757426800639759453651962539313938621507578848147115200787892070799865808242173847812591263151464644216108030215361173037402349591934134749790155512466980861293721756280591562570827044696201718699732105806480263738856894804467483443405232036889958476816355520795665426805419836958428264485027255707151822543803035920282148444249541621478718022473082130592038140453880494261208043917397924813728915539445285189935489469776807371684116494748404152861642920947038648701064943870446023214470280851684199921509880908902421815542355945556411963056017173845668144744135609553434304497088183923456318487020133687979759159904738270989406402719300901745484166455833881349902883638010290418458483647798034319291367628988610766092845244018739095149136523339769793450331979615400557150410524886438001857957690295279840270629477740764098477058879452745098903220902429984405982518128430508907636708995013252358133015535786391162533874714069722310439236303908005309255919314626635110433363600496400019071473055777502124920999336729039307892734405028195433420634458860397436288956209583387210126707056077118756396941835793192202165989811138814427937809184666378531196348045652931359929921673730592918039954256535379191942207975560969995211786266633933991950982061759525702534957388370716995520374861725234250863902950190113139647308293162473119594699319383692180306174813834082198301742279810818222745205578398636895842818954446529390379255583152347862236796580695939926598448803028789642506604584884682107966878755570425860802323161778883462051241614643885966585158472356381332238842080732895187090035653782606499019609344224441450215076228803849757560736056082329624326510992239210357932192162431761669251011635753878837913245021144470830826099116779981824165201433072325783633108746432581651036779681157987939416547469946082469829334401;
b=805323917966427344401851624992059543450952663659886025006631029497349353210472152396758880635317661027886733720488723306156592831061987456996603498188254006916956433432193505875252710943979711256039715277256702668308734085221229878551537436295021895298564064411663130886315064307506249332692890921460455601146709236280833921 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:39:01 2004
Input: a=13059210352149606733529404775036023154586871752956798087178673391940951190449085377740873416793004358770660137663397439822846995955261067200932037746050368615013431685012063613275339665251994269446225659149953157661404237247635652082187523399757426800639759453651962539313938621507578848147115200787892070799865808242173847812591263151464644216108030215361173037402349591934134749790155512466980861293721756280591562570827044696201718699732105806480263738856894804467483443405232036889958476816355520795665426805419836958428264485027255707151822543803035920282148444249541621478718022473082130592038140453880494261208043917397924813728915539445285189935489469776807371684116494748404152861642920947038648701064943870446023214470280851684199921509880908902421815542355945556411963056017173845668144744135609553434304497088183923456318487020133687979759159904738270989406402719300901745484166455833881349902883638010290418458483647798034319291367628988610766092845244018739095149136523339769793450331979615400557150410524886438001857957690295279840270629477740764098477058879452745098903220902429984405982518128430508907636708995013252358133015535786391162533874714069722310439236303908005309255919314626635110433363600496400019071473055777502124920999336729039307892734405028195433420634458860397436288956209583387210126707056077118756396941835793192202165989811138814427937809184666378531196348045652931359929921673730592918039954256535379191942207975560969995211786266633933991950982061759525702534957388370716995520374861725234250863902950190113139647308293162473119594699319383692180306174813834082198301742279810818222745205578398636895842818954446529390379255583152347862236796580695939926598448803028789642506604584884682107966878755570425860802323161778883462051241614643885966585158472356381332238842080732895187090035653782606499019609344224441450215076228803849757560736056082329624326510992239210357932192162431761669251011635753878837913245021144470830826099116779981824165201433072325783633108746432581651036779681157987939416547469946082469829334401;
b=15129776317629928597694208280743783495448382612215384223240905431746925756078081898264152776608033803376301506895018614212088739149904435378324729331915277018268794368285814741512483145578159815365935979536029979109080653588081812354771833868749538970704406919281264408373914603890617172107780194873464233513254981120853478093572158627050461058697017600626587904831270878465199616983411261206191268066747987682041219716707722513769323436946609009260376770461166375624569308136959153347598560716518139969094365958572605441 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:39:15 2004
Input: a=13059210352149606733529404775036023154586871752956798087178673391940951190449085377740873416793004358770660137663397439822846995955261067200932037746050368615013431685012063613275339665251994269446225659149953157661404237247635652082187523399757426800639759453651962539313938621507578848147115200787892070799865808242173847812591263151464644216108030215361173037402349591934134749790155512466980861293721756280591562570827044696201718699732105806480263738856894804467483443405232036889958476816355520795665426805419836958428264485027255707151822543803035920282148444249541621478718022473082130592038140453880494261208043917397924813728915539445285189935489469776807371684116494748404152861642920947038648701064943870446023214470280851684199921509880908902421815542355945556411963056017173845668144744135609553434304497088183923456318487020133687979759159904738270989406402719300901745484166455833881349902883638010290418458483647798034319291367628988610766092845244018739095149136523339769793450331979615400557150410524886438001857957690295279840270629477740764098477058879452745098903220902429984405982518128430508907636708995013252358133015535786391162533874714069722310439236303908005309255919314626635110433363600496400019071473055777502124920999336729039307892734405028195433420634458860397436288956209583387210126707056077118756396941835793192202165989811138814427937809184666378531196348045652931359929921673730592918039954256535379191942207975560969995211786266633933991950982061759525702534957388370716995520374861725234250863902950190113139647308293162473119594699319383692180306174813834082198301742279810818222745205578398636895842818954446529390379255583152347862236796580695939926598448803028789642506604584884682107966878755570425860802323161778883462051241614643885966585158472356381332238842080732895187090035653782606499019609344224441450215076228803849757560736056082329624326510992239210357932192162431761669251011635753878837913245021144470830826099116779981824165201433072325783633108746432581651036779681157987939416547469946082469829334401;
b=714496875150044842608995147695321327069338391678413172703708756411850493924061351170786621115943144521491514174818211639079975878159059632612134075736702980330656071587550872121137136984922149951017180539771474298651738699367999113417477305515118542851993812005889957583413888251676779256557850871670570205620348983692535554291667252247593399089589522089333161751785863167698931685749814470567828506584525970527312753583502773404367289091239959520247577288395768547460872355058198022501667432601086699455500388266733152896511017390030843461052800218680141454949780700411288048536604634446129151929039659453792377490906974625446252477770411918792241501528054095541308930867349747454733913276719959290318300429740856282319932288858219483581406694559784796612547093267450105206421304770176542083437635155892969086737724495728968440808007805282115820303157288746932897687181744040498682335044069109175203591850374058253848605189688837418095554244202710638110494422042618602498456006480165347041 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:42:35 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=53557082595126165043094157045628806518641 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:43:11 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=596526861195233662750200340726624395569101 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:43:54 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=303958713725096927394127296394703691714496875150044842608995147695321327069338391678413172703708756411850493924061351170786621115943144521491514174818211639079975878159059632612134075736702980330656071587550872121137136984922149951017180539771474298651738699367999113417477305515118542851993812005889957583413888251676779256557850871670570205620348983692535554291667252247593399089589522089333161751785863167698931685749814470567828506584525970527312753583502773404367289091239959520247577288395768547460872355058198022501667432601086699455500388266733152896511017390030843461052800218680141454949780700411288048536604634446129151929039659453792377490906974625446252477770411918792241501528054095541308930867349747454733913276719959290318300429740856282319932288858219483581406694559784796612547093267450105206421304770176542083437635155892969086737724495728968440808007805282115820303157288746932897687181744040498682335044069109175203591850374058253848605189688837418095554244202710638110494422042618602498456006480165347041 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:47:17 2004
Input: a=11818710223177610397076523264869095877952407072560136267404409778782329312086776107768818389450248066521310854149204822252672095323596850007407726586974989682973593355701729266425272246640640100380698935825239732343262852715755013886168197784393324389787439928649011879119928959662753598589978723983812351263321652221685791485664527026955995944034861646091701410838905142015662126412983845831622706310233276997012723654623416692402262448822372672838749536007486492162361285689034522963308800752444116472321;
b=2670383929348266924341948931151336592642126516143095249535829086413119821 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 05:59:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=37401556883975343784635466666369698568857414924106856599113706630499280912622820191369097916803354626206245110791523810396936379107488394011749677824636890938931005013403143630875184476344536161 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 06:00:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=1573646189656401207486767880720222624035301340663285632613380740307779641 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 06:25:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=1573646189656401207486767880720222624035301340663285632613380740307779641 ;
(a-1)/80190
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m1.340s
user 0m0.040s
sys 0m0.090s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 06:26:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=1573646189656401207486767880720222624035301340663285632613380740307779641 ;
(a-1)/8190
Output: 8839280644636724079390243017226366725948864093014620972033005622605453913626612873487285692076796742682806809770280854798790453653627/91
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 06:26:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=1573646189656401207486767880720222624035301340663285632613380740307779641 ;
(a-1)/80190
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:32:12 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=3307778274605860019775884877775856144362368451681 ;
(b-1)/1485
Output: 2227460117579703717020797897492159019772638688
Errors (if any) and Timing Info:
Timing:
real 0m0.118s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:32:35 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=3307778274605860019775884877775856144362368451681 ;
(a-1)/1485
Output: 535713978462831762387287455589476771269628126849370968002000340763966903856158355968926405580411923798957988470926112412047906282038
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:37:14 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
(a-1)/1485
gcd(a,b)
Output: 535713978462831762387287455589476771269628126849370968002000340763966903856158355968926405580411923798957988470926112412047906282038
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:37:35 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
(a-1)/1485
gcd(2^1485-1,b)
Output: 535713978462831762387287455589476771269628126849370968002000340763966903856158355968926405580411923798957988470926112412047906282038
6946827316925268800938223490149102474198424275692237475352753209803191224399782591
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:38:15 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
(a-1)/1485
c=gcd(2^1485-1,b)
c/b
Output: 535713978462831762387287455589476771269628126849370968002000340763966903856158355968926405580411923798957988470926112412047906282038
6946827316925268800938223490149102474198424275692237475352753209803191224399782591
1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:38:40 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
c=gcd(2^1485-1,b)
c/b
Output: 6946827316925268800938223490149102474198424275692237475352753209803191224399782591
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:38:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
c=gcd(2^1485-1,b)
b/c
Output: 6946827316925268800938223490149102474198424275692237475352753209803191224399782591
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:39:30 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
gcd(2^1485-1/b,a)
b/c
Output: 1/6946827316925268800938223490149102474198424275692237475352753209803191224399782591
6946827316925268800938223490149102474198424275692237475352753209803191224399782591/c
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:39:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
gcd(2^1485-1/b,a)
Output: 1/6946827316925268800938223490149102474198424275692237475352753209803191224399782591
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:40:15 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:42:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 6233;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:42:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 6233 *24119;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:42:39 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 6233 *24119*43631;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/1689143
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:43:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 24119*43631;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:43:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 24119*;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info: *** unexpected character: ...856144362368451681*24119*;
^-
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:43:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 24119;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:43:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 941183;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:44:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 941183 *6233;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/6233
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:44:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 941183 *864761;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:44:34 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=19694071 * 106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 941183 *864761/271;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:44:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 941183 *864761/271;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:44:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=106638643913461155414345241 * 3307778274605860019775884877775856144362368451681 * 941183 *864761;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:45:00 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=3307778274605860019775884877775856144362368451681 * 941183 *864761;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:45:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=941183 *864761;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:45:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=941183 *864761/271;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:45:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=941183 *864761 * 33057806959 ;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/271
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 07:45:43 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=941183 * 33057806959 ;
gcd((2^1485-1)/b,a)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (193.194.89.21)
Time: Sat Jul 24 08:13:28 2004
Input: NextPrime(201365487985120)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: NextPrime(2013654879
^--------------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:42:32 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
a^2-1
Output: 9656048121330239196485739047236872733132646152415265572749839063571416858087801139297436736668535657942544532834166699749756556831546825766219543494478915395505001388433032706122580727561545005466558578465273868089134810944324056030967838960018632090507727101247760897728632535169583227345646104139213934877983671194311248207350399320919897813580637534250460303641423529457084273798880
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:43:29 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a,b-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:43:34 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a,b+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:43:41 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:44:07 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a,b*4637)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:44:17 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a,(b-1)*4637)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:44:31 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a-1,(b-1)*4637)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:44:36 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a-1,(b)*4637)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:44:42 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
gcd(a-1,(b+1)*4637)
Output: 8
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:45:15 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=103580608016334790711691667862952264334578200761424251524005398294106881350602716818544894322390776226081263875761267780515702436950063984950966911257494092784191412881800489724553415921744887 ;
a^2-1
gcd(a-1,(b+1)*4637)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
6
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:47:16 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a-1,(b+1)*4637)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:47:25 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a-1,b)
Output: 2937733
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:47:46 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:48:07 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
gcd(a-1,b)
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:49:26 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
gcd(a-1,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:49:36 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
gcd(a-1,b-1)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:49:43 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:55:01 2004
Input: a=1230186684530117755130494958384962720772853569595334792197322452151726400507263657518745202199786469389956474942774063845925192557326303453731548268507917026122142913461670429214311602221240479274737794080665351419597459856902143413;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b*)
Output: 1513359278795203462908039994573225983635087960749583410587171443802458728353127475213752746375723327203197182695191401303664347179955574489758053252855929011957896984934758429124996099037383652072365115220803381995128547108203175350563621202181891960948834720598676702737112188401912067610082831079361585581054227558888187038109748130429198269494468119029645224048497394646325966463418756061947562985467999013006479462484696511372504488571635778058519793619288568
Errors (if any) and Timing Info: *** unexpected character: gcd(a-1,b*)
^-
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 08:56:08 2004
Input: a=412023436986659543855531365332575948179811699844327982845455626433876445565248426198098870423161841879261420247188869492560931776375033421130982397485150944909106910269861031862704114880866970564902903653658867433731720813104105190864254793282601391257624033946373269391;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
Output: 169763312626299807816594496981403671414352697961312283330276905099731786260284126807436784535299955579863770761140611966076577603701566630753757354553795325240734872457844368655724053468311030446222029241835152073863175097884063978259156768211083610964527290174563181053732845002227290415136663116457799250524297013453821928831444354604811829724776546135844438186859878634771697429194569164440276083600507806098380254792248673663587397584055078168939758263377030173125333882321621657211632408782786419426635663030732425432112823810257510880
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:01:31 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
Output: 632876346748660305219354771860458303057585945529322909349955961486828251632363183323181230340927742422065298101130201754647537951472198205946631656882268269566373734472235982759021146247477487415913632121743509931546811956670343701308610121982745591527980395932724197760
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:02:24 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
Output: 1228171801568011828024328633749182902356996007101571614758929925851611823204329411319749964702858066098735425760989716658601116350326573026815060229835875231129845561907032468566285974827243869086668533337334243025226823676757408988216333056793666843601844976029926268615467832285477836549163149200
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:09:34 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
Output: 9656048121330239196485739047236872733132646152415265572749839063571416858087801139297436736668535657942544532834166699749756556831546825766219543494478915395505001388433032706122580727561545005466558578465273868089134810944324056030967838960018632090507727101247760897728632535169583227345646104139213934877983671194311248207350399320919897813580637534250460303641423529457084273798880
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:13:55 2004
Input: a=3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346609;
b=2937733 ;
a^2-1
gcd(a-1,b)
Output: 9656048121330239196485739047236872733132646152415265572749839063571416858087801139297436736668535657942544532834166699749756556831546825766219543494478915395505001388433032706122580727561545005466558578465273868089134810944324056030967838960018632090507727101247760897728632535169583227345646104139213934877983671194311248207350399320919897813580637534250460303641423529457084273798880
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:14:17 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
a^2-1
gcd(a-1,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
2937733
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:14:38 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
a^2-1
gcd(a-1,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:15:13 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:15:25 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:15:41 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b*5011)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:16:08 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
lcm(a-1,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
1
18440754702399597089263640478449822090906710328697130988659178297659251654121545431779133327586123699069254542555102268308845131353549983242982948403748777161490613320601352659277010357902325320334974415192195693327871567774277293314790291522561113855230381079899359773696145913349383739950218856699794048675941235118882247149308027319830074998163287741839650783211500400501705917948302581026732340806787476243246094
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:16:22 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
lcm(a,b+1)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
1
18440754702399597089263640478449822090906710328697130988659178297659251654121545431779133327586123699069254542555102268308845131353549983242982948403748777161490613320601352659277010357902325320334974415266233257056506235407086426929314071629083736017535987210932591304171101202897653796888440879027948420756165494921169610818792078580806120606152621023918484067581493653082797061551391717281619092195282460283558146
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:16:32 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b)
lcm(a,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
1
18440754702399597089263640478449822090906710328697130988659178297659251654121545431779133327586123699069254542555102268308845131353549983242982948403748777161490613320601352659277010357902325320334974415192195693576944522579039630831884498486490547128304698125996358665198336168869387519996444459402830576760271164419042025448673110482519387432879512093017931562464616589783724665170605007195522129657347809719761787
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:16:38 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b+1)
lcm(a,b)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
126
18440754702399597089263640478449822090906710328697130988659178297659251654121545431779133327586123699069254542555102268308845131353549983242982948403748777161490613320601352659277010357902325320334974415192195693576944522579039630831884498486490547128304698125996358665198336168869387519996444459402830576760271164419042025448673110482519387432879512093017931562464616589783724665170605007195522129657347809719761787
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:17:49 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b+1)
(b+1)/(a-1)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
126
1976769482577478869183287356856582803754558071794420626123033255996190506190843060338912988318129602613493331573804484787005470733608858923422049847454389811026047767835097638302926903086115558202194569/587599710155251689111482508709758517004707848327232453055049465388672738365303700610253939838294586063459478813508949090239039429351482009311691340721432956389816484629357717431593545318143626686809005163204733
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:17:59 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b+1)
(b+1)/(a)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
126
249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515694/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:18:08 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 ;
a^2-1
gcd(a-1,b+1)
(b)/(a)
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656880
126
249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:26:37 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
(a-1)/b
gcd(a-1,b)
(b)/(a)
Output: 6483825555099075414
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:27:50 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*2937733)+1
gcd(a-1,b)
(b)/(a)
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074468886694079928996200922359/19047748299457872113196462
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:28:09 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*5011 )+1
gcd(a-1,b)
(b)/(a)
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449871436230327725554625451/32490449856601466899554
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:28:22 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*3947 )+1
gcd(a-1,b)
(b)/(a)
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449864537439937100138384955/25591659465976050659058
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:28:35 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*1483 )+1
gcd(a-1,b)
(b)/(a)
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449848561293769336016564859/9615513298211928838962
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:28:53 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*1483 )+1
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449848561293769336016564859/9615513298211928838962
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:29:09 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*3947 )+1
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449864537439937100138384955/25591659465976050659058
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:29:19 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*5011 )+1
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449871436230327725554625451/32490449856601466899554
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:29:26 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(6483825555099075414*2937733 )+1
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074468886694079928996200922359/19047748299457872113196462
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:29:55 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
b/(249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 )+1
Output: 249072954816181146189597178033056504169806020676098831059111078792647197452220373716454908168687824025550173317808197287018871664354351623166647362489699504048067995678583942500618628734631031457564241590/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:30:15 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
((249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 )+1)/b
Output: 249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515694/11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:30:28 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
((249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693 )+1)/a
Output: 249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515694/74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:30:43 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
a/b
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:31:06 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
a/(c+1)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/6483825555099075415
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:31:20 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*2937733 ;
a/(c+1)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/19047748299457872113196463
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:31:29 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*5011 ;
a/(c+1)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/32490449856601466899555
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:31:39 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*3947 ;
a/(c+1)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/25591659465976050659059
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:31:51 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*1483 ;
a/(c+1)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/9615513298211928838963
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:32:06 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*743 ;
a/(c+1)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/4817482387438613032603
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:32:24 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*743 ;
a/(c+1)
gcd(a-1,c)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/4817482387438613032603
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:32:39 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*2937733 ;
a/(c+1)
gcd(a-1,c)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/19047748299457872113196463
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:32:56 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414*3947 ;
a/(c+1)
gcd(a-1,c)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/25591659465976050659059
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:34:18 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
d=(2^4) * (3^3) * 5 * 7 * 11 * 181 * 743 * 1483 * 3947 * 5011 * 2937733;
a/(c+1)
gcd(a-1,c)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/6483825555099075415
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:34:30 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
d=(2^4) * (3^3) * 5 * 7 * 11 * 181 * 743 * 1483 * 3947 * 5011 * 2937733;
a/(c+1)
gcd(a-1,d)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/6483825555099075415
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:34:57 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
d=(2^4) * (3^3) * 5 * 7 * 11 * 181 * 743 * 1483 * 3947 * 5011 * 2937733;
a/(2*c+1)
gcd(a-1,d)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359/12967651110198150829
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:35:32 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
d=(2^4) * (3^3) * 5 * 7 * 11 * 181 * 743 * 1483 * 3947 * 5011 * 2937733;
(a-1)/d
gcd(a-1,d)
Output: 11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897/297252520
6483825555099075414
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 09:35:45 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
d=(2^4) * (3^3) * 5 * 7 * 11 * 181 * 743 * 1483 * 3947 * 5011;
(a-1)/d
gcd(a-1,d)
Output: 33545411057898170707819877366668317900076172419246162948840282048137176660656627130365024521858841025461900156731034149251926259068364431820474798343554904368499824980833748715704500776779607262571501/297252520
2207084699358
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ekamel-elama-emuli.stusta.mhn.de. (141.84.69.18)
Time: Sat Jul 24 09:52:47 2004
Input: FindGroupOrder2 := function (p, s)
K := GF(p);
v := K ! (4*s);
u := K ! (s^2-5);
x := u^3;
b := 4*x*v;
a := (v-u)^3*(3*u+v);
A := a/b-2;
x := x/v^3;
b := x^3 + A*x^2 + x;
E := EllipticCurve([0,b*A,0,b^2,0]);
return FactoredOrder(E);
end function;
FindGroupOrder2(3603109844542291969,3501693870747166);
Output:
Errors (if any) and Timing Info: *** unexpected character: FindGroupOrder2:=function(p,s)
^--------------
*** unexpected character: K:=GF(p);
^-------
*** unexpected character: v:=K!(4*s);
^---------
*** unexpected character: u:=K!(s^2-5);
^-----------
*** unexpected character: x:=u^3;
^-----
*** unexpected character: b:=4*x*v;
^-------
*** unexpected character: a:=(v-u)^3*(3*u+v);
^-----------------
*** unexpected character: A:=a/b-2;
^-------
*** unexpected character: x:=x/v^3;
^-------
*** unexpected character: b:=x^3+A*x^2+x;
^-------------
*** unexpected character: E:=EllipticCurve([0,b*
^--------------------
*** expected character: '=' instead of: returnFactoredOrder(E);
^-
*** unknown function or error in formal parameters: FindGroupOrder2(3603
^--------------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 19:26:38 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=11418808672502971069127070896731703630001832167608888537127193672174148113751871640603494096250013539508832203856182351919635398815469081710446387858785976931361640074449838945780471124087725897 ;
c=6483825555099075414;
(a-1)/b
gcd(a-1,d)
Output: 6483825555099075414
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 19:27:25 2004
Input:
c=6483825555099075414;
c/2937733
Output: 2207084699358
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 19:48:17 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=a^-1
Output: 1/35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 19:48:29 2004
Input: a=35045282158487636123259014292004089245227471550191132494367732831303373727594575532334779423274207863833033604171200909745257231922557618156366994601;
b=a^2-1
Output: 1228171801568011828024328633749182902356996007101571614758929925851611823204329411319749964702858066098735425760989716658601116350326573026815060229835875231129845561907032468566285974827243869086668533337334243025226823676757408988216333056793666843601844976029926268615467832285477836549163149200
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:02:25 2004
Input: 3107418240490043721350750035888567930037346022842727545720161948823206440518081504556346829671723286782437916272838033415471073108501919548529007337724822783525742386454014691736602477652346608^2-1
Output: 9656048121330239196485739047236872733132646152415265572749839063571416858087801139297436736668535657942544532834166699749756556831546825766219543494478915395505001388433032706122580727561544999251722097485186425387634739167188195956275793274563540650183829454834879861565623422475923883899072539263381389201916840252165031203511302262905222363935070482765687395612040056252128969105663
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:03:26 2004
Input: 188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059^2-1
Output: 35418793184725995071882583271956348754410898933833054845888370603345814987316040791481698124199169201524887127314443021724221561776842211787114536712686180093162712387427248196110483628776020489411359401365049451863284227316321308459273345312410183940859596846623020904101060016751600166286781937174692240474748049112253723478100720230468779329480
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:04:43 2004
Input: (188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059-1)^2-1
Output: 35418793184725995071882583271956348754410898933833054845888370603345814987316040791481698124199169201524887127314443021724221561776842211787114536712686180093162712387427247819712857787560092812016880478064169837536157468481555906932560499334690753471528626208501807894614969381975577559493349537790049829006684290010939731035490382711853478815363
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:06:42 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643 ;
gcd(a-1,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:06:51 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643 ;
gcd(a-1,b-1)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:06:58 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643 ;
gcd(a-1,b-1)
a/b
Output: 2
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059/81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:07:05 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643 ;
gcd(a-1,b-1)
a-1/b
Output: 2
15353360970484404351395455912409458113483466986181994800329440877341075780660016420616737136086157352900252251366701405878827435871194267369171723162877589268886670113902004296852687991237267150343103216015869388165881644418449246930014181141337881148679951379500352804607535899974466686524907966667602014561506597003066936/81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:07:16 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643 ;
gcd(a-1,b-1)
(a-1)/b
Output: 2
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257058/81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:07:33 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=81580540983333670713443471954985132496981199970381529800463628718531854889182114477189027579339939375837196807234689255703164228145266431793850742643 ;
gcd(a-1,b-1)
(a-1)/(b-1)
Output: 2
94099406460303981919348619730825219903581781689708691350381678211494429857617332742659530303252371522658694005651698358099846160602867015939775328498110652584379653825128529/40790270491666835356721735977492566248490599985190764900231814359265927444591057238594513789669969687918598403617344627851582114072633215896925371321
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:09:14 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=22301202486733 ;
gcd(a-1,b-1)
(a-1)/(b-1)
Output: 2
94099406460303981919348619730825219903581781689708691350381678211494429857617332742659530303252371522658694005651698358099846160602867015939775328498110652584379653825128529/11150601243366
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:09:19 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=22301202486733 ;
gcd(a-1,b)
(a-1)/(b-1)
Output: 1
94099406460303981919348619730825219903581781689708691350381678211494429857617332742659530303252371522658694005651698358099846160602867015939775328498110652584379653825128529/11150601243366
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 20:09:24 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=22301202486733 ;
gcd(a-1,b)
(a-1)/(b)
Output: 1
188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257058/22301202486733
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:06:36 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
gcd(a,b)
(a-1)/(b)
Output: 1
94099406460303981919348619730825219903581781689708691350381678211494429857617332742659530303252371522658694005651698358099846160602867015939775328498110652584379653825128529/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:06:54 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
gcd(a,b)
b/a
Output: 1
498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386/188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:07:04 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
gcd(a,b-1)
b/a
Output: 1
498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386/188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:07:56 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd(a,b)
(a^2)/b
Output: 1
35418793184725995071882583271956348754410898933833054845888370603345814987316040791481698124199169201524887127314443021724221561776842211787114536712686180093162712387427248196110483628776020489411359401365049451863284227316321308459273345312410183940859596846623020904101060016751600166286781937174692240474748049112253723478100720230468779329481/1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:08:14 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd(a,b)
(a^2-1)/b
Output: 1
7083758636945199014376516654391269750882179786766610969177674120669162997463208158296339624839833840304977425462888604344844312355368442357422907342537236018632542477485449639222096725755204097882271880273009890372656845463264261691854669062482036788171919369324604180820212003350320033257356387434938448094949609822450744695620144046093755865896/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:08:19 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd(a,b)
(a^2-1)/b
Output: 1
7083758636945199014376516654391269750882179786766610969177674120669162997463208158296339624839833840304977425462888604344844312355368442357422907342537236018632542477485449639222096725755204097882271880273009890372656845463264261691854669062482036788171919369324604180820212003350320033257356387434938448094949609822450744695620144046093755865896/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:08:53 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2)-1,b)
(a^2-1)/b
Output: 5
7083758636945199014376516654391269750882179786766610969177674120669162997463208158296339624839833840304977425462888604344844312355368442357422907342537236018632542477485449639222096725755204097882271880273009890372656845463264261691854669062482036788171919369324604180820212003350320033257356387434938448094949609822450744695620144046093755865896/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:09:00 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2),b)
(a^2-1)/b
Output: 1
7083758636945199014376516654391269750882179786766610969177674120669162997463208158296339624839833840304977425462888604344844312355368442357422907342537236018632542477485449639222096725755204097882271880273009890372656845463264261691854669062482036788171919369324604180820212003350320033257356387434938448094949609822450744695620144046093755865896/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:09:07 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2),b+1)
(a^2-1)/b
Output: 1
7083758636945199014376516654391269750882179786766610969177674120669162997463208158296339624839833840304977425462888604344844312355368442357422907342537236018632542477485449639222096725755204097882271880273009890372656845463264261691854669062482036788171919369324604180820212003350320033257356387434938448094949609822450744695620144046093755865896/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:09:13 2004
Input: a=188198812920607963838697239461650439807163563379417382700763356422988859715234665485319060606504743045317388011303396716199692321205734031879550656996221305168759307650257059 ;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2)-1,b+1)
(a^2-1)/b
Output: 2
7083758636945199014376516654391269750882179786766610969177674120669162997463208158296339624839833840304977425462888604344844312355368442357422907342537236018632542477485449639222096725755204097882271880273009890372656845463264261691854669062482036788171919369324604180820212003350320033257356387434938448094949609822450744695620144046093755865896/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:13:04 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2)-1,b+1)
(a^2-1)/b
Output: 2
4401570463791937526730647363577421227832028946432000308669157838248180923546557580407432740712908746884949291879094058022556599193403067823664605655588939020307660920319169756697325545831120347815749334095081577636464432
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:13:26 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2),b)
(a^2-1)/b
Output: 1
4401570463791937526730647363577421227832028946432000308669157838248180923546557580407432740712908746884949291879094058022556599193403067823664605655588939020307660920319169756697325545831120347815749334095081577636464432
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:16:11 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2),a)
(a^2)/b
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656881/1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:16:38 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465 ;
gcd((a^2),a)
(a^2)-1/b
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
6826542734449681657977912713553309165649687084444168304919527842437027677856335103329135783479726304756019001625306990525027964759119445664559071437170255237643772800895922307077663729686949612591074465801351632275122168976096160352694251122033096250126878961721547982667990048450106597993176484994517910209346475471995256857537041124486062634379970490286596259780134178972253694550036552179937871987248557779562153440660879539609961126717540982101677762005768782482122093602819752559506701885593636528932847893905739540802439232671534195830319036806897229644758933983498092971737404295727037590802614894981808449230279289667664/1245364774023811687585471034819647166365371585230484994457510951277600018900231128013515182640421649646500798891496825415813446562173581121755891403896265580946410093736111512130843948944252801667382578465
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:17:00 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
gcd((a^2),a)
(a^2)-1/b
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359
2730617093779872663191165085421323666259874833777667321967811136974811071142534041331654313391890521902407600650122796210011185903647778265823628574868102095057509120358368922831065491874779845036429786320540652910048867590438464141077700448813238500050751584688619193067196019380042639197270593997807164083738590188798102743014816449794425053751988196114638503912053671588901477820014620871975148794899423111824861376264351815843984450687016392840671104802307512992848837441127901023802680754237454611573139157562295816320975693068613678332127614722758891857903573593399237188694961718290815036321045957992723379692111715867065/498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:17:19 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
gcd((a^2),b)
(a^2)-1/b
Output: 1
2730617093779872663191165085421323666259874833777667321967811136974811071142534041331654313391890521902407600650122796210011185903647778265823628574868102095057509120358368922831065491874779845036429786320540652910048867590438464141077700448813238500050751584688619193067196019380042639197270593997807164083738590188798102743014816449794425053751988196114638503912053671588901477820014620871975148794899423111824861376264351815843984450687016392840671104802307512992848837441127901023802680754237454611573139157562295816320975693068613678332127614722758891857903573593399237188694961718290815036321045957992723379692111715867065/498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:17:31 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
gcd((a^2)-1,b)
((a^2)-1)/b
Output: 498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386
11003926159479843816826618408943553069580072366080000771672894595620452308866393951018581851782271867212373229697735145056391497983507669559161514138972347550769152300797924391743313864577800869539373335237703944091161080
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 21:20:43 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
(a-1)/b
Output: 37018781739780856414023398048714786571296594444615644542468116319486382517014133138445998209812558921997947165251063792685059484049143366586636554465450276252558438531649536198190393355043048481268967325281898179/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 22:12:51 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
a*b
Output: 36881509404799194178527280956899644181813420657394261977318356595318503308243090863558266655172247398138509085110204536617690262707099966485965896807497554322981226641202705318554020715804650640669948830384391387153889045158079261663768996972981094256609396251992717330396672337738775039992888918805661153520542328838084050897346220965038774865759024186035863124929233179567449330341210014391044259314695619439523574
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 22:15:16 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
(a^2)/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Output: 5481560805990130281768282076593215310073688730115250503149032170108522655501797765890835465040960786580057567295951388112520353584573743464934453730044301458171531765894319993378792706952568115329378389051406454174857009757254716616600567426615927947474145956560406039117809087030805957147227229705532664449926195511000247548394627377048335764993032652746945631229592187030141348409046171932700375670316410417745034421656881/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 22:15:24 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
(a^2-1)/249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693
Output: 22007852318959687633653236817887106139160144732160001543345789191240904617732787902037163703564543734424746459395470290112782995967015339118323028277944695101538304601595848783486627729155601739078746670475407888182322160
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 22:16:27 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
c=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693;
d=22007852318959687633653236817887106139160144732160001543345789191240904617732787902037163703564543734424746459395470290112782995967015339118323028277944695101538304601595848783486627729155601739078746670475407888182322160;
gcd(a,d)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 22:16:35 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
c=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693;
d=22007852318959687633653236817887106139160144732160001543345789191240904617732787902037163703564543734424746459395470290112782995967015339118323028277944695101538304601595848783486627729155601739078746670475407888182322160;
gcd(a-1,d)
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796358
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Jul 24 22:17:14 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=498145909609524675034188413927858866546148634092193997783004380511040007560092451205406073056168659858600319556598730166325378624869432448702356561558506232378564037494444604852337579577701120666953031386 ;
c=249072954804762337517094206963929433273074317046096998891502190255520003780046225602703036528084329929300159778299365083162689312434716224351178280779253116189282018747222302426168789788850560333476515693;
d=22007852318959687633653236817887106139160144732160001543345789191240904617732787902037163703564543734424746459395470290112782995967015339118323028277944695101538304601595848783486627729155601739078746670475407888182322160;
gcd(a-1,d)
(a-1)/d
Output: 74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796358
1/297252520
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 01:14:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=2108621291776319171472837846362864268300443146625575358209276363851658059577 ;
gcd(a-1,b)
gcd(a,b)
gcd(a-1,b-1)
Output: 1
1
18
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 01:14:26 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=249018815918315199700031851161772880156221637084521986234342836024160025575777017 ;
gcd(a-1,b)
gcd(a,b)
gcd(a-1,b-1)
Output: 1
1
2
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 01:14:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=643140441812089542905454541325063138146515420520205671316030911067522417744362207143248681 ;
gcd(a-1,b)
gcd(a,b)
gcd(a-1,b-1)
Output: 1
1
10
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 01:14:49 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=15604620003748987137563684369946433749429548952479111489128424163566077973414124705335003435083 ;
gcd(a-1,b)
gcd(a,b)
gcd(a-1,b-1)
Output: 1
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 01:15:20 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=37401556883975343784635466666369698568857414924106856599113706630499280912622820191369097916803354626206245110791523810396936379107488394011749677824636890938931005013403143630875184476344536161 ;
gcd(a-1,b)
gcd(a,b)
gcd(a-1,b-1)
Output: 1
1
2970
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 01:16:08 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=162395453880679626976948802659318287464839269423776929238860749460670217598671007563737736550442141312167882823739728942052405438289 ;
gcd(a-1,b)
gcd(a,b)
gcd(a-1,b-1)
Output: 1
1
1782
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:46:01 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:49:29 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a,6336!)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:49:36 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a,6336!-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:49:42 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a-1,6336!-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.071s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:49:47 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a-1,6336!)
Output: 286298496
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:50:20 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a-1,6336!+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sun Jul 25 02:50:25 2004
Input: a=313837529986205815615686559295823544576085657676648298233395913068570322970900149058863246475303661233148542134676518742693542775896151014490861952020952436207096978287454032687555034029695698261318685010949988362246970753;
b=86945388997210442828259494992321 ;
gcd(a,6336!+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host adsl-64-171-5-133.dsl.sntc01.pacbell.net. (64.171.5.133)
Time: Sun Jul 25 05:32:20 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host i114067.ap.plala.or.jp. (218.47.114.67)
Time: Sun Jul 25 07:36:28 2004
Input: factor(469488855864230005483461314336129)
Output:
[469488855864230005483461314336129 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.195s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host i114067.ap.plala.or.jp. (218.47.114.67)
Time: Sun Jul 25 07:36:36 2004
Input: factor(137720648445416062792457424757472821995659748083558641360826441310501439598398121157011779)
Output:
[137720648445416062792457424757472821995659748083558641360826441310501439598398121157011779 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.118s
user 0m0.090s
sys 0m0.040s
************** PARI *****************
Host cache2-hudd.server.ntli.net. (62.252.96.5)
Time: Sun Jul 25 08:34:35 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host p508E5C4B.dip0.t-ipconnect.de. (80.142.92.75)
Time: Sun Jul 25 08:48:22 2004
Input: (a+b+a^2)^3
Output: a^6 + 3*a^5 + (3*b + 3)*a^4 + (6*b + 1)*a^3 + (3*b^2 + 3*b)*a^2 + 3*b^2*a + b^3
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p508E5C4B.dip0.t-ipconnect.de. (80.142.92.75)
Time: Sun Jul 25 08:50:03 2004
Input: 7/3
Output: 7/3
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p508E5C4B.dip0.t-ipconnect.de. (80.142.92.75)
Time: Sun Jul 25 08:50:22 2004
Input: 7/3 + 20/5 + 3/11
Output: 218/33
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host p508E5C4B.dip0.t-ipconnect.de. (80.142.92.75)
Time: Sun Jul 25 08:50:35 2004
Input: factors(7623576)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: factors(7623576)
^----------------
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pD9542975.dip.t-dialin.net. (217.84.41.117)
Time: Sun Jul 25 09:01:09 2004
Input: prime(50)
Output: 229
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host pD9542975.dip.t-dialin.net. (217.84.41.117)
Time: Sun Jul 25 09:01:19 2004
Input: prime(100)
Output: 541
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:29:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m0.284s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:31:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=1108905789240643 ;
gcd(a-1,c-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
6
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:32:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=1108905789240643 ;
gcd(a-1,c)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:32:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,c)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:32:48 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,c-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
10
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:44:02 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*2111*245969*304805*508403*304807*708403*252*144*441*78064)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7290
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:47:16 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7290
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:47:54 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
7290
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:48:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:48:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*c-5)*c-6)*(c-7)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info: *** unused characters: ...c-2)*(c-3)*(c-4)*c-5)*c-6)*(c-7)*2111*245969*
^--------------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:49:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*c-5)*(c-6)*(c-7)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info: *** unused characters: ...4*63529*63532*44790*54892)
^-
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:49:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*(c-5)*(c-6)*(c-7)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:50:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*(c-5)*(c-6)*(c-7)*((c-304805)*(c-304807)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...*63529*63532*44790*54892)
^
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:50:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*(c-5)*(c-6)*(c-7)*(c-304805)*(c-304807)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:50:41 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*(c-5)*(c-6)*(c-7)*(c-304805)*(c-304807)*1108905789240643 *2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:50:47 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*(c-5)*(c-6)*(c-7)*(c-304805)*(c-304807)*1108905789240642 *2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:51:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(c-1)*c*(c-2)*(c-3)*(c-4)*(c-5)*(c-6)*(c-7)*(c-304805)*(c-304807)*1108905789240642 *(441!)*2111*245969*304805*508403*304807*708403*252*144*441*78064*63529*63532*44790*54892)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:51:42 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(441!-1))
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:51:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(441!))
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:52:07 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(441!)*(144!))
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:52:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(441!)*(144!-1))
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:52:27 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(441!)*(80190!-1))
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m1.687s
user 0m1.650s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:52:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(441!)*(304807!-1))
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
80190
Errors (if any) and Timing Info:
Timing:
real 0m16.715s
user 0m16.680s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:53:37 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a-1,(304807!)^2-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m21.004s
user 0m20.940s
sys 0m0.060s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:54:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(a-1)/80190
c=378229810480184200615834499870941903455935320292199740937009301719885880964600863011514542651941308631 ;
gcd(a,(304807!)^2-1)
Output: 9920629230793180784949767696101421690178298645358721629666672977110498219558488073498637140377998588869592379091224303926813079297
Errors (if any) and Timing Info:
Timing:
real 0m21.005s
user 0m20.940s
sys 0m0.060s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:55:19 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,(63504!)^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m1.654s
user 0m1.630s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:55:36 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,(80190!)^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m2.569s
user 0m2.540s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:55:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a-1,(80190!)^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m2.574s
user 0m2.520s
sys 0m0.050s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:55:59 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a-1,(80190!)^2)
Output: 80190
Errors (if any) and Timing Info:
Timing:
real 0m2.570s
user 0m2.530s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:56:32 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245969,(80190!)^2)
Output: 245969
Errors (if any) and Timing Info:
Timing:
real 0m2.536s
user 0m2.510s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:56:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245969,(8!)^2)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:56:43 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245969,(8!)^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:56:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245969,(28!)^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:56:55 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245969,(28!)^2)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:57:04 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245968,(28!)^2-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:57:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245968,(28!)^2)
Output: 16
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:57:18 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245968,(128!)^2)
Output: 16
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:57:28 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245968,(128!)^2*16)
Output: 16
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 22:57:50 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(245968,(11128!)^2)
Output: 16
Errors (if any) and Timing Info:
Timing:
real 0m0.131s
user 0m0.110s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:09:13 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(2^1485-1,(11128!)^2*a)
Output: 369287757089839970525316099167458792272716805915857133401779354308899715848191427379328595375677693163089999410471046638828031915966231294801575859256172579190993
Errors (if any) and Timing Info:
Timing:
real 0m0.142s
user 0m0.130s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:10:09 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(2^1485-2,(11128!)^2*a)
Output: 806079835622801021190
Errors (if any) and Timing Info:
Timing:
real 0m0.139s
user 0m0.100s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:10:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-2,(11128!)^2*a)
gcd(b-1,c)
Output: 806079835622801021190
1
Errors (if any) and Timing Info:
Timing:
real 0m0.137s
user 0m0.120s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:11:15 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-2,((11128!)^2-1)*a)
gcd(b-1,c)
Output: 1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.140s
user 0m0.120s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:11:46 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*a)
gcd(b-1,c)
Output: 18297310934398018844337803045658579122714148672540265412108321638793289601207088648118681382598969257353410096224481369433496239063007913
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:12:47 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(a-1))
gcd(b-1,c)
Output: 23
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:12:57 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(a^2-1))
gcd(b-1,c)
Output: 161
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:13:03 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(a^3-1))
gcd(b-1,c)
Output: 23
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:13:10 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(a^13-1))
gcd(b-1,c)
Output: 23
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:13:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(a^13))
gcd(b-1,c)
Output: 18297310934398018844337803045658579122714148672540265412108321638793289601207088648118681382598969257353410096224481369433496239063007913
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:13:53 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(2^80190)-1)
gcd(b-1,c)
Output: 1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:13:59 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485)-1)*(2^80190))
gcd(b-1,c)
Output: 23
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:14:06 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,((3^1485))*(2^80190))
gcd(b-1,c)
Output: 1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:14:17 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,a*(2^80190))
gcd(b-1,c)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:14:24 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
c=gcd(2^1485-1,a*(2^80190)-1)
gcd(b-1,c)
Output: 1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:17:19 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,(78064!*2111)-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m1.594s
user 0m1.580s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:17:38 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-2)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
3810
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:18:19 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-2)
gcd(2^3810-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
3810
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:18:26 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-2)
gcd(2^3810-1,a-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
3810
9
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:18:35 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-2)
gcd(2^3811-1,a-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
3810
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:19:22 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-2)
gcd(2^25157-1,a-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
3810
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:19:27 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-2)
gcd(2^25157-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
3810
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:24:15 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,3^1485-2)
gcd(2^25157-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:24:33 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:25:09 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,2^(2970*2)-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
2660425456455
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:25:22 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,2^(2970*4)-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
2660425456455
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:25:33 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,2^(2970*8)-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
2660425456455
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:25:42 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,2^(2970*5)-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
10148679
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:25:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,2^(2970*10)-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
2660425456455
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:26:35 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
101096167345290
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:27:28 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^2970-1)
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a-1)/101096167345290
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
10148679
101096167345290
1619945290874619048512932294638447067481443114461387031189766052634766059545901640813412662130883096556207236079367850100695626201875327909517528285304489891357590077690545642341830766337767397020935381543455625344
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:29:23 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 )
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a-1)/101096167345290
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407
101096167345290
1619945290874619048512932294638447067481443114461387031189766052634766059545901640813412662130883096556207236079367850100695626201875327909517528285304489891357590077690545642341830766337767397020935381543455625344
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:30:01 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a,208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 )
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a-1)/101096167345290
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
101096167345290
1619945290874619048512932294638447067481443114461387031189766052634766059545901640813412662130883096556207236079367850100695626201875327909517528285304489891357590077690545642341830766337767397020935381543455625344
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:30:19 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a,208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 *3*2*5*7*11*13*17*19*23*29*31)
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a-1)/101096167345290
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
101096167345290
1619945290874619048512932294638447067481443114461387031189766052634766059545901640813412662130883096556207236079367850100695626201875327909517528285304489891357590077690545642341830766337767397020935381543455625344
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:30:29 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 *3*2*5*7*11*13*17*19*23*29*31)
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a-1)/101096167345290
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870
101096167345290
1619945290874619048512932294638447067481443114461387031189766052634766059545901640813412662130883096556207236079367850100695626201875327909517528285304489891357590077690545642341830766337767397020935381543455625344
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:30:51 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 *3*2*5*7*11*13*17*19*23*29*31)
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a-1)/1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870
101096167345290
105899993778543838559263755998579603756228108016902363997999659145610567066942500402663591978167626303004946957251979224448
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:31:25 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 *3*2*5*7*11*13*17*19*23*29*31)
gcd(a-1,(2^(2970*10)-1)*3*2*5*7*11*13*17*19*23*29*31)
(a/1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870+1
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870
101096167345290
Errors (if any) and Timing Info: *** expected character: ')' instead of: ...95827687480000364995870+1
^
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:31:40 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
(a)/1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870+1
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974057363265415112038198502155672242702643070165573518675477550665260355111291136118438680513237486249688025631/1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:31:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
(a)/(1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995870+1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761/1546461471555403432625252836569005103784067774910020972470166176723454805984628092595827687480000364995871
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:32:51 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407 ;
gcd(a-1,b)
Output: 208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:33:04 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407-1 ;
gcd(a-1,b)
Output: 54
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Jul 25 23:33:24 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407-1 ;
gcd(a-1,2^33264-1)
Output: 6756233891746365
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:00:26 2004
Input: gcd(245969,2^29-1)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:00:39 2004
Input: gcd(245969,2^223-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:00:46 2004
Input: gcd(245969,2^37-1)
Output: 223
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:02:11 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a,2^37-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:02:18 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a,2^1485-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:02:25 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
19783
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:06:17 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
gcd(a-1,2^1485-1)
a^2-1
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
19783
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332474889506825901731304366459827991658129059108787685389361072653473510344524036701814529353429360623846813076478284718222876469451017915833279380661707690191656076662313291644479237806008433896119479090457007345430301204491717120
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:08:41 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407;
gcd(a,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:08:47 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407;
gcd(a-1,c)
Output: 208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:08:58 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=208699253921107075927834390900000688769779726708504854584367905090884589201704196031825598850202478407;
gcd(a-1,c-1)
Output: 54
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:09:50 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=129345887125199995637094193368115141406314323694542943326393979148949659576921695312098611283064294126643043225152466290554943129556998057694853265143778263053659145497589255000687520897049190758344238123436933258675764111 ;
gcd(a,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:09:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=129345887125199995637094193368115141406314323694542943326393979148949659576921695312098611283064294126643043225152466290554943129556998057694853265143778263053659145497589255000687520897049190758344238123436933258675764111 ;
gcd(a-1,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:10:04 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=129345887125199995637094193368115141406314323694542943326393979148949659576921695312098611283064294126643043225152466290554943129556998057694853265143778263053659145497589255000687520897049190758344238123436933258675764111 ;
gcd(a-1,c-1)
Output: 370
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:10:09 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=129345887125199995637094193368115141406314323694542943326393979148949659576921695312098611283064294126643043225152466290554943129556998057694853265143778263053659145497589255000687520897049190758344238123436933258675764111 ;
gcd(a,c-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:12:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=2^9 * 3 ^ 3 * 5 * 13 * 19 ^ 2 * 37 * 73 * 109 * 127 * 163 * 271 * 283 * 457 * 1231 * 1613 * 2179 * 2237 * 3673 * 5419 * 7237 * 25237 * 30403 * 68113 * 569209 * 816157 * 909037 * 3164419 * 17347717 * 50151629413 * 1206499188997 * 140298831729541;
gcd(a,c)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:13:01 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=2^9 * 3 ^ 3 * 5 * 13 * 19 ^ 2 * 37 * 73 * 109 * 127 * 163 * 271 * 283 * 457 * 1231 * 1613 * 2179 * 2237 * 3673 * 5419 * 7237 * 25237 * 30403 * 68113 * 569209 * 816157 * 909037 * 3164419 * 17347717 * 50151629413 * 1206499188997 * 140298831729541;
gcd(a-1,c)
Output: 784718953899009843724144431949474863833650280405246517225177474268974301966043927983737216558222110905266656953237166053159680
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:15:26 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=2^9 * 3 ^ 3 * 5 * 13 * 19 ^ 2 * 37 * 73 * 109 * 127 * 163 * 271 * 283 * 457 * 1231 * 1613 * 2179 * 2237 * 3673 * 5419 * 7237 * 25237 * 30403 * 68113 * 569209 * 816157 * 909037 * 3164419 * 17347717 * 50151629413 * 1206499188997 * 140298831729541;
gcd(a-1,c)
gcd(a^2-1,a)
Output: 784718953899009843724144431949474863833650280405246517225177474268974301966043927983737216558222110905266656953237166053159680
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:17:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=2^9 * 3 ^ 3 * 5 * 13 * 19 ^ 2 * 37 * 73 * 109 * 127 * 163 * 271 * 283 * 457 * 1231 * 1613 * 2179 * 2237 * 3673 * 5419 * 7237 * 25237 * 30403 * 68113 * 569209 * 816157 * 909037 * 3164419 * 17347717 * 50151629413 * 1206499188997 * 140298831729541;
gcd(a,c+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:18:21 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=2^9 * 3 ^ 3 * 5 * 13 * 19 ^ 2 * 37 * 73 * 109 * 127 * 163 * 271 * 283 * 457 * 1231 * 1613 * 2179 * 2237 * 3673 * 5419 * 7237 * 25237 * 30403 * 68113 * 569209 * 816157 * 909037 * 3164419 * 17347717 * 50151629413 * 1206499188997 * 140298831729541;
gcd(a-1,c+1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:39:28 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^297-1)
Output: 73
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:39:34 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^1297-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:39:41 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^11297-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:39:52 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^332640-1)
Output: 1830939384663264915
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:00 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a,2^332640-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:05 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a,2^3326400-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.120s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:13 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^3326400-1)
Output: 1830939384663264915
Errors (if any) and Timing Info:
Timing:
real 0m0.119s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:20 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^3326401-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.118s
user 0m0.080s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:27 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^3326-1)
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:34 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^33264-1)
Output: 6756233891746365
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:44 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a+1,2^33264-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a+1,2^332642-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:40:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a+1,2^1400-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:41:02 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^1400-1)
Output: 1905
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:41:09 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^1401-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:41:16 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^1402-1)
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:41:23 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a-1,2^1403-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 00:41:30 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=gcd(a,2^1403-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:29:31 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210;
gcd(a-1/b)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: gcd(a-1/b)
^-
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:29:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210;
gcd((a-1),b)
Output: 21821850203063040
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:30:44 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555;
gcd((a-1),b)
Output: 2771374975789006080
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:02 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555;
gcd((a-1),b)
gcd(2^633555-1,b-1)
Output: 2771374975789006080
1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:13 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555;
gcd((a-1),b)
gcd(2^633555-2,b-1)
Output: 2771374975789006080
1
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:20 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555;
gcd((a-1),b)
gcd(2^633555-1,b)
Output: 2771374975789006080
73
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:29 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555;
gcd((a-1),b)
gcd(2^633555-1,a)
Output: 2771374975789006080
1
Errors (if any) and Timing Info:
Timing:
real 0m0.065s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:35 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555;
gcd((a-1),b)
gcd(2^633555-1,a-1)
Output: 2771374975789006080
19783
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.040s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:46 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783;
gcd((a-1),b)
gcd(2^633555-1,a-1)
Output: 751042618438820647680
19783
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:31:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783;
gcd((a-1),b)
gcd(2^179712-1,a-1)
Output: 751042618438820647680
15834930853365
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:32:19 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*15834930853365;
gcd((a-1),b)
gcd(2^19783-1,a-1)
Output: 1211431743541817704707840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:32:51 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*15834930853365;
gcd((a-1),b)
gcd(2^262656-1,a-1)
Output: 1211431743541817704707840
85241602355715
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:33:03 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*15834930853365,85241602355715;
gcd((a-1),b)
gcd(2^262656-1,a-1)
Output: 1
85241602355715
Errors (if any) and Timing Info: *** unused characters: ...3555*19783*15834930853365,85241602355715;
^----------------
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:33:14 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*15834930853365*85241602355715;
gcd((a-1),b)
gcd(2^262656-1,a-1)
Output: 1211431743541817704707840
85241602355715
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:33:58 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*15834930853365*85241602355715;
gcd((a-1),b)
gcd(2^91941-1,a-1)
Output: 1211431743541817704707840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:34:31 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911;
gcd((a-1),b)
gcd(2^91941-1,a-1)
Output: 1211431743541817704707840
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:35:04 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313;
gcd((a-1),b)
gcd(2^91941-1,a-1)
Output: 36831159298901883676232459520
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:35:59 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729;
gcd((a-1),b)
gcd(2^270729-1,a-1)
Output: 36831159298901883676232459520
73
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:36:09 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*73;
gcd((a-1),b)
gcd(2^270729-1,a-1)
Output: 36831159298901883676232459520
73
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:36:34 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863;
gcd((a-1),b)
gcd(2^89863-1,a-1)
Output: 45339157096948218805442157669120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:37:08 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339;
gcd((a-1),b)
gcd(2^89863-1,a-1)
Output: 45339157096948218805442157669120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:37:29 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617;
gcd((a-1),b)
gcd(2^88617-1,a-1)
Output: 45339157096948218805442157669120
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:37:55 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216;
gcd((a-1),b)
gcd(2^80216-1,a-1)
Output: 45339157096948218805442157669120
15
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:38:17 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623;
gcd((a-1),b)
gcd(2^80216-1,a-1)
Output: 98794023314250168777058461561012480
15
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:38:53 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769;
gcd((a-1),b)
gcd(2^80216-1,a-1)
Output: 98794023314250168777058461561012480
15
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:38:59 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769;
gcd((a-1),b)
gcd(2^80769-1,a-1)
Output: 98794023314250168777058461561012480
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:39:42 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769*4688307*82251;
gcd((a-1),b)
gcd(2^80769-1,a-1)
Output: 98794023314250168777058461561012480
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 02:39:48 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769*4688307*82251;
gcd((a-1),b)
gcd(2^82251-1,a-1)
Output: 98794023314250168777058461561012480
73
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:24:34 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769*4688307*82251;
(a*1.0)/b
Output: 1.376990507895543342436210646 E67
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:25:03 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769*4688307*82251;
(a*1.0)/(gcd(a-1,b)+1)
Output: 1.657694005390835758365195026 E192
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:25:12 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769*4688307*82251;
(a-1)/(gcd(a-1,b)+1)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029760/98794023314250168777058461561012481
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:25:32 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3509760*179712*5026338869760*19634136210*92710*633555*19783*91941*15834930853365*85241602355715*234441*15721911*91209*59924313*270729*89863*89281*1696339*88617*80216*80623*80769*4688307*82251;
(a-1)/(gcd(a-1,b))
Output: 1657694005390835758365195026878362225179465806141556144623646684673055874846537979808675733616356073010898655934469964462228636953281155354696672002890372296992905600115123542993334954627721637
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:29:43 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
lcm(2^1485-1,a)
Output: 175298661524374931870668750994783296653462310455512325907003444923617918301651650157841049214540639328284519303104050617560699158540153431927258237100786360274392548414509702290412786425580300217219182921954605163476091774541538821948228702211417397825975841040595237621587484118566843637131890421095161937879015412584131544503948510531752036339853411356429546024793952602333963141831549653016983411890496534135900256342089880926561055417545514157424074278674892645839628165821924518472861539053928448109003444179577771527858115334047632512066190824490233647764295797617419960995588337212799679684574406095299629956687661801210411456420306610304704666546702483951953828584191
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:31:50 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
a^2-1
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332474889506825901731304366459827991658129059108787685389361072653473510344524036701814529353429360623846813076478284718222876469451017915833279380661707690191656076662313291644479237806008433896119479090457007345430301204491717120
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:36:48 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
256999^1-1
Output: 256998
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Mon Jul 26 03:36:54 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
256999^2-1
Output: 66048486000
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 20:07:41 2004
Input: 2^1485-1
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
Errors (if any) and Timing Info:
Timing:
real 0m0.210s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 20:10:38 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5444533317969835244422501478738166934732851118226444637345455750482639732567
gcd(a,b)
gcd(a-1,b)
gcd(a-1,b-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5444533317969835244422501478738166934732851118226444637345455750482639732567
1
1
18
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 20:11:56 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
b=5444533317969835244422501478738166934732851118226444637345455750482639732567
c= 196599722813759542452906170353169817207330392630733293249891299184331314963709454351069348915115057119070843102087200232337695196264709837675519822371475904893600697365971199205944229921051787081711867441514827598861294279287995413208579941077518775104570205047690419394256213590964674749323319191102898521241417281591126635866091264015893823789391978638753857044732240793;
gcd(a,c)
gcd(a-1,c)
gcd(a-1,c-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
5444533317969835244422501478738166934732851118226444637345455750482639732567
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 20:12:29 2004
Input: a=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
b=5444533317969835244422501478738166934732851118226444637345455750482639732567;
c= 196599722813759542452906170353169817207330392630733293249891299184331314963709454351069348915115057119070843102087200232337695196264709837675519822371475904893600697365971199205944229921051787081711867441514827598861294279287995413208579941077518775104570205047690419394256213590964674749323319191102898521241417281591126635866091264015893823789391978638753857044732240793;
gcd(a,c)
gcd(a-1,c)
gcd(a-1,c-1)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
1
6
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 20:52:37 2004
Input: 2^110880-1
Output: 1606642393466058765634859757772051213909963044866635516420583824411290817523790941539096000650351550128956558105276528351541929460406950122706208173277501322759962969232663480456322998201335387099683095144853588524148408420707177030900295530522225566440163827007068297002118470424661309797904153064315712715464219820402495668196022128070336775258247757618221881855192209906698200581633781139926453331056394477753205147139305688806612054463211269424676402118567748373036125172573902717615806912895923724896127444290510526895566555821937219736061247921070680326701427258027496329858659285274818867000697687677302853632317716058118042430041936888107784773279274923980033361762087001038577569253384227142361639238048498877219167445682680601929790423799758721700205422169770488660055442930550988788132858369998006421568873154612498958519231374938321869685356401617107275315858713181790616214863906463346982313308441036483777932201735130413929193867912195266723196820459261654426064709678674502115030075893807770152098976554223975961987465680644094553593863893681008564445851691240913608483494989623261188789631743067119110988365885983137372130898245156228249780222771513172616195394863446968912436234720822821249925879220039706249911822262954312861072368130502039631787605053214111141027941728938706759049504084265414583373072333956591962624344113547142990843591323423982957377343034502559576771381697012082030204655076184496077427332907200555810521972537050795375889165019202421808248295807833027873481427169894285766261608077740533721939750342003164539457732899014181913595203611846479032303986463926396910321495341707357720468812687424589124577804120990755574025235407040661139999653141294868218601306167955086994670286507761423174109173588852321232554149954193196993792756538459611667740803492843641785488132111241856237833561099310265020552346518208018438836795536006130687335183953726105777676605861168376467203592739190871517791809284839807742508488401565432683205027932228262674964558774707144918026030135277314732211994472147966162461026554267668315483118678697896117276647478555824190766392086409002633695793892091730118464876693602230398126100461847335141685096871005983789391384283484296507769093256416797700750813179137445715705007347897661539610556218728106397842061544755630345716433241327950343082573894774146381075162987709624850211501529734891907407412247648411874915046645734022809381193086699747371324658624021127899413598569501127800927291259503161141631831983015454238222291835549392060602199589987142467616251996009496931875189589307628880701067385083679954921376934193394711370468469889568431556488105511744993887494987209814081536256001689967004801737173902707323361052570698018038670166633847827968285977106138893442114324861739422527456460241772873064608588280026155286662480057435864598361002523523131714158492362986586531900001176405196225033026646404466585268245413004577802830933253419998510673544349856396085451702604180437851699323897147958805240435899405641322409997682519686484090133411255847878426553069891079813404839653864980778406910781889629940190497364907219429379673101434636421370113920785540078943725639753129509168280206029067831812123154004862524813045108937315533621389087357814434921448982399066791368630677853233780151432698524462016433944828724983524466249849527145825390467700733459290023150833806021582458152339437275941776414932445624513384451926715047424295374291917188414342509790104464933473333129158690754275109165660110680289592049752390154795667979295989159119826876347042415651524476967006610085218779798062351265036813929583028124454493897099878729230198269236946535639445899403326335783786056400562012606481959898966359858280564710431797331353078203397393459163908218586651601029444193932771660481877975691232680878888467754267733622160996145317354154466167428986590536101957687384066024543200514373554540659807810074933650156310950218200845918511309267386459976408204952682708108136423895562056325309184374875708752730695906680537668254802028485788552241568951018440867852306158963930044240728390673587286551927177476050618932662887947992150619728525018169800261647359288277868123346885822180198758434133557503047298094176299656948337843900508239599766478572672920149180179354437029555577723214702185787872161259106875191867306087702921714511762658317946305273668169665075321318006107913559713200712386157222658575412839973457022967111714870334367762824727532365336997404498435612732601936203570127730914499310945319780357904144527210581416989413067959949163123044724147289663406387826762683347488280500938872304874054273594603803489204716994033094133813584037244857092339109189965866602224418037718095117304372933649095430436338503071063497412792061870607933838210568036459851522630107064870198705842703370127693791085412091021966904058807762618601854060009078784710798074510588607302212906568705784680152500452195922760786098347059676148527432321766923187310006143261971533356386350351708529638437615860136827918318611984811390815255208093274682588804803785200826729893291131201454293734509917758121615765609596320277222509097388690128248431203779909654098257165056201413968912679399004563627096902156282320135764342804767848443251592103360390279192173013745120895776569074369115808395092010740514855427517985077663679070482387565527794374703099756770613437322963405136489944174430497076292359092614564473907532309307768259874707877894889963525584420638444841050817229624893585638721884995814397570677727452439998778276641646389067039345297680309830737629841980972793368987905407998336934451890853434254022828081802920209137166235972242498900367430281676287429226007364131335262249268243921761973693239744211159603345149365751460315109663632960815427516790302766505929412614851368087390863530185868277910860694090985836774954647120062809931188541954416847184364299268439896874604743122731942622890641042753675162255599303379631059488057011136393264805800739121225101821221617723190838398587908412270962313171812235240150718861707087351174490837851607552891057325807265596440923208259414623042070774966083253667530031626953573418754871447378322781474488696116970388424112823713609743184407244405149763951152555451516396550637956094135362164853625751618461368127409815779741312547180822904216854534874469990891140570486360680993801825243878540427086553442396353651499315472144389509642684048330271055213351881327454819357770899967127479564116090178918547392685479119908364700930404185825552983251274955283910733089793335414693568644978601493496347282602376085858466529763929578487997476366601026729427308292458385775073438488347289986499877313412964934856334186105225780775286119515101887128004933601839026839837975429150654913532390766379695380832751261564835496107630762049918335699967041136824031935921812348531143309468459808954612540084981523237282259126246492216390569871745819142037621841725459158284116839180526514401180386451403923287104439307966814943120705088025809606424918738657091244256274562558212995616835237969468741561527954716408034543717015933295488199714964545121015830469549755151539058168778009744952427059520982530134605526193188330986989891889054817467814754790003969436853414048524656363783933916614508843237565609908793568048092698576494862644877976412550202296603480298553895732911692046011716170588839434298611972000728671810588678337311767618596790898747638299075611355753197582548892471250466753867050403302576967413533243949435784421137115694126132598202157764477045107281581467686454843782864747807422815344228844344684696891511301349367353773423335981318808799851783843649408505714788411554928420869336879463735916745920468669433054887173882241692889889587526054171863153854907677456660418467785464382910084089403984254130266396323407609058375582569786555726364695316388873525367713315784331367079002266449883648543427428593915043499543389192992381013055856403298413524278511952899621489813992870209056647973642534798766428198255770109085205080309706582957575357418040582800481364289941719047023743233669853986342910288682344135944079980359191724568806869238017262382530479120233365206016845824472444603280390556676193807720959271186884136823068433233096523914259842378413658667940893391247954594806043790092823482227994592018511686774916665087322163846117798232497364151591584208879548031264429060647060457845179800030685404323649970188131328981841596489426306721282341905963574774481123038317859121131547945671325314979960220106953516257408365749173740088017740436015096976172322332314531297213654908868903025515473910664656496217400120083115167725884306980345786492816483204279457810182789130362368028485279545236803346977052804473977677804666982385439949199542551291054714851405404497204188566174299397453134339553034869120695402151274135882406018448520179138706002491569259454133405274299828960358985425201142236935466686100636771274925607285790249388722093357855290448776719440541952294722899085232510123357474834350724843626281452024859085882021464906019664537960622829557867725701383502608210796995457055087553428872085579675332154137034242062477723215445726879415661139009692655826854042702546696535295904031291232422259063689699703865347057958552291158230021530892327980686698176119494889666617950264756750329860349399552975902170302770215756615056672664861219338739084749740786337353792833405052103534150638672085042948143569646540848270493310131261542252334695848962752572247863166716169612005980359540032262239094622130638116535972553773342781049228668675485539410618183449712846288051295857526056166097319414568961628662083378631535903640755731674144070063903814660843766484553782873608254977274670279564020535030705739558744458665168955426799557929634800215086692469368212004337816311732497414913345420610326888608039026433164116019685491410909024374617366845583391252207712455795592600497172992683847899782493350069086093524897449737508543927477220129515485754271560795373393576825678550888789464571136374215762302695176203586116200160350071919337063307920585975657703491999039022992830676720
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.430s
user 0m0.340s
sys 0m0.090s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 20:54:50 2004
Input: 2^6930-1
Output: 13736305825012919538183278471226205219775466759092363008727254638839540631216743949817457114173529411892270334085123489096150098890316381458694964204668862523817439442529450721229157684025349543411150690078823398202243112474323726532419877536101535875841957558841502707008379124541876991406424693474098000368517137929412487288504217189768790687103265094086053300536214646908135736614723240921673956753404319990547911614740595802346028122478178341014451299383108533637425174063023709159997699766013398817883580924452726149330798174629006547262338114549762576223622148763204628810608979773991201128870155902099273808427308887684641861086894854756459334574308964642797684338403992654438111846855965647708770563546401264230068906594716297242999458323282013729234704550354391223724595744758847522686365652469596818417872474812165798213857696477630436768125440865412561296705748953902692577556686823418293220425212163626404446294678325843684138567641204677562118193137781487445504578591320880363133040235492212197608024833879841519524711752154484803657437066672692702191532579441442274894383464200654275180908641772068492305777869418815098158530839363956887871866755887367840221377235690594074213629671705754122811833332223489797344792649047107680274043830857041159819897010199161567715212400391249518498160475291941300294930190438813666773594078413759406877436586198932887805773293267177930169621848083276976666053774357155358982786733203659756966949996254614901028183912948146725071515558152797943964151291940812337738415670811220698710469261955403345025806796447211409242027845038017714035062924270132401206055413966894691960889686203497870366200579832055685622076587258475707614106904115472863341853175124776694990346858064024183449505615290097724337935088875698102593718810466582630018406617033312331645422576125855400740881286949266332447317943612739222466604296927041774748031961692855296201395534119978714115064780050694359319009641633455037985701292770173742118411188455919070103536734660944761647737210103124098849641461717394128482246929009661125883880469852380073452469461475917823
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:01:47 2004
Input: a=111164830080298703476281216551179107772044028399903286225705975727412547336370319332201333139195722387570201261638369650600918097177781093525450815887819313898799098435988735713970360712182068761373147480382421504319657984429623756025381978622193465144880841349293635338852992172575266633528384605034322397937234287648357693752780339100821;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:01:55 2004
Input: a=111164830080298703476281216551179107772044028399903286225705975727412547336370319332201333139195722387570201261638369650600918097177781093525450815887819313898799098435988735713970360712182068761373147480382421504319657984429623756025381978622193465144880841349293635338852992172575266633528384605034322397937234287648357693752780339100821;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a-1,b-1)
Output: 8910
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:02:01 2004
Input: a=111164830080298703476281216551179107772044028399903286225705975727412547336370319332201333139195722387570201261638369650600918097177781093525450815887819313898799098435988735713970360712182068761373147480382421504319657984429623756025381978622193465144880841349293635338852992172575266633528384605034322397937234287648357693752780339100821;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:02:35 2004
Input: a=2535780163733034855894105623350204349166417440513207461 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:02:43 2004
Input: a=2535780163733034855894105623350204349166417440513207461 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd(a-1,b-1)
Output: 1
2970
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:02:56 2004
Input: a=37073055770742955860149669357943581889942083408919721 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd(a-1,b-1)
Output: 1
2970
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:03:44 2004
Input: a=111164830080298703476281216551179107772044028399903286225705975727412547336370319332201333139195722387570201261638369650600918097177781093525450815887819313898799098435988735713970360712182068761373147480382421504319657984429623756025381978622193465144880841349293635338852992172575266633528384605034322397937234287648357693752780339100821 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/111164830080298703476281216551179107772044028399903286225705975727412547336370319332201333139195722387570201261638369650600918097177781093525450815887819313898799098435988735713970360712182068761373147480382421504319657984429623756025381978622193465144880841349293635338852992172575266633528384605034322397937234287648357693752780339100821
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:04:12 2004
Input: a=2535780163733034855894105623350204349166417440513207461 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/2535780163733034855894105623350204349166417440513207461
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:04:49 2004
Input: a=4183739978746243239852385111562221 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/4183739978746243239852385111562221
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:05:22 2004
Input: a=143088308230255885809439975476089308461300549439772599850898118087350616561120351642420513425100138733380525074331315183571799482232694761507771420823448277662091958149653552977917922989498335202263116454338062250214044804906133246992068521501304931 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/143088308230255885809439975476089308461300549439772599850898118087350616561120351642420513425100138733380525074331315183571799482232694761507771420823448277662091958149653552977917922989498335202263116454338062250214044804906133246992068521501304931
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:05:37 2004
Input: a=923563392709260495542691616540204272556636306233950524945856919711891623762612600401 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/923563392709260495542691616540204272556636306233950524945856919711891623762612600401
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:05:56 2004
Input: a=426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:06:29 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3719700122549668497350562985095728681356544249082395646293026298186487865655221
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:06:50 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 *923563392709260495542691616540204272556636306233950524945856919711891623762612600401 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3435378865043023878078417576692698652925254650863270345308171287297968219174554785349198850221329916067195833862359033931377283253243855967076577782243424512343621
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:07:13 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 *923563392709260495542691616540204272556636306233950524945856919711891623762612600401 *143088308230255885809439975476089308461300549439772599850898118087350616561120351642420513425100138733380525074331315183571799482232694761507771420823448277662091958149653552977917922989498335202263116454338062250214044804906133246992068521501304931 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/491562549928982837579349072760997394678984797466426534201107289257316466249553956083150449386931268514885994827624994813439209152978169366438030218516410190721275813313811135339218359530520658501250836926154165587769284790242686775846604554350660244565199519360841408425675842993416458536013364933301173405444375459859678151365370651049242087508332355064264599022036682665903309042132678903321279618668573695151
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:07:56 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 *923563392709260495542691616540204272556636306233950524945856919711891623762612600401 *143088308230255885809439975476089308461300549439772599850898118087350616561120351642420513425100138733380525074331315183571799482232694761507771420823448277662091958149653552977917922989498335202263116454338062250214044804906133246992068521501304931 *17807512854386592386688490236483121 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/8753506426595413006723378480124144765741290404408482549382446472996053778026327268033619888859704756928196484889448155324254103865564840812357681012605653799664927039655051625196904203897668639392586612757957427970771114833316360389464537365293592505870007453971957596990404615279847977999297280644718154674753710053323828232981513662805225311886376476946606409922672572167598955678378490425672019528808415863806034971909857960094684037811046271
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:10:04 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 *923563392709260495542691616540204272556636306233950524945856919711891623762612600401 *143088308230255885809439975476089308461300549439772599850898118087350616561120351642420513425100138733380525074331315183571799482232694761507771420823448277662091958149653552977917922989498335202263116454338062250214044804906133246992068521501304931 *17807512854386592386688490236483121 *426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/3733177146085275631594262705664975454252074423563881907645132731661199317215759678652602478588384766401464053418953405682981749978671321442874161095460214307719480848766060116971546624489430114156339733286899130674324153155675156501355282309256960631513005844044875490991823823467216352862350869652611137853982834001371631268213486619937154958334821974776163680409107300674392147399458405423331155331834638322772030141116322850432196330068449108214621345531539764131601551594874212901694031332306058137804551949569563315156768551671256852184760747970743322513391749692717875800900693707774062714461886802409731794472507385767104784976205033228398825183675911769070561036334197496218782278020096271
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:10:32 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 *923563392709260495542691616540204272556636306233950524945856919711891623762612600401 *17807512854386592386688490236483121 *426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/26090022254494018103825368919131959711438470682528753502163913223889468121535794287894537800615948474674746072436750183333984861802037337012335735563658838571520336571398496337702977651223438884934053617551610960115101851828681325284415601833129226049876365834067792719390565096224639587994015861402452103304061507188587215563681908001775376357868865455316301803689973797443715018504401014064509650558651332349071179477102567671943789823901106071141
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:10:50 2004
Input: a=3719700122549668497350562985095728681356544249082395646293026298186487865655221 *923563392709260495542691616540204272556636306233950524945856919711891623762612600401 *17807512854386592386688490236483121 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/61175553298941670286526529217818657948623220940369156318785851363180878390240325011451762450904888505412680840837306321102875081866337087768872856561808701233002772743481276180956576029212518521141
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:11:05 2004
Input: a=923563392709260495542691616540204272556636306233950524945856919711891623762612600401 *17807512854386592386688490236483121 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/16446366987511048735456483065218670416049250439933286113509851241666142971250035671104016414195560297176475346754331521
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:11:14 2004
Input: a=923563392709260495542691616540204272556636306233950524945856919711891623762612600401;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/923563392709260495542691616540204272556636306233950524945856919711891623762612600401
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:11:41 2004
Input: a=426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd((2^1485-1)/a,b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:12:12 2004
Input: a=426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd(((2^1485-1)/a),b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/426477912296142196895316173496665201545620452682709765524061361980561589547107997706111672058654965618300493873455908856959465556650041530602549935571751409714964243643626201572122065975166524366047158530144575889653157986549646081455087684643560550001
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:12:49 2004
Input: a=162395453880679626976948802659318287464839269423776929238860749460670217598671007563737736550442141312167882823739728942052405438289 ;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
gcd(((2^1485-1)/a),b)
Output: 1
795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431/162395453880679626976948802659318287464839269423776929238860749460670217598671007563737736550442141312167882823739728942052405438289
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Jul 26 21:40:16 2004
Input: (2^41580-1)/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Output: 8444234319342203563158326070440630215413810680552516768642741709766636619399149318313829092183618842677102543488711654022604861563772848145167364302365700297998803976474557727777734917871054573125516754241405966290625126925366805987289559687750246199234608049871051177007220126213041521464993100179834141856270840335822114496085082371076937577233627031206023457251584731625040541133979076388173063294881361927785041724312765573521855849263076036895589406315153851085903790993151585685954954712399995639246452978205129863998677003969028708085893187963222183133654828601778266570784711869340214093696653666001085101593154541759213179446818432386372143504487085564482098749802024818351174519206740116508072642913943340662500997981216535984313312670302805641121406740374579868284938553119124432518469511532545298484436120751602597661353392290638605109292760699339133304317050004692308068279289067295978664518785237719154701588863891324074536334128194963449820898326034125228580060001587664670055333280602692557067179426290927484046365933908036461668456888798231821228616456235110280554335390585893564819293288658646881069244479499108255792690012156748434381306302088286439928657487802767306033978002754026941972033278162183481845098146766958776190747843323709967508289723920317282867909565095317564569411707513624814948934771261191709185474758123733201259696781376594944537092730918945557222438993777339707356351338885945656093336835054815339067390853249226507807207834377117280497927575701300558863886841166000834802311237902108851738499706050260294635305700251946439348099520814905944517944278143286955414443460233912643096065350237466941320882409289326341472988847256996910459105469608322677473369186067312979843400552127615014028829796448206721045685475820597361326606247947967537778751174264575132321736668068838963666184098566747886202574822814493306944964472263412229996921195983757431446764666976545109882030662725179861441561131418527639015288150277155945958225873113248924524098014435012587088803428353914729655916658005606188649945020560563600479723901913436707909669774104627423744948606752997140587749809284340090870988849327947371288962063483643194054011865957004134897903719639993897132011351612799165599998187747439321694060083649682760430729324012835766976232382491633444769654306104968592541124168688721165822313794861020895061486097732568830821235294311626038796839011372502007689182442226663907616997384015872232297765399444539946151532692315882404123472533501935499541292515652279186564694226011003735374446538319595797916489138598762693330045433795322854754700065510158113092692560319408795662491211312617807011154239997643967069706116135361021299851016853805783295452852708114530547528942863834276388166550847671670647721481821758077564252788568716339922954798411521524992074621061647253174149970110443385617047333250307696664351374872350882075830526543063501444111439884497269652762774480070199499224285236577225667680601940147131374576528617519141147133880342971634222257728148791772151698778770495742546077764027526838375492014623490033465077581930294249831295145074500883129725135034231368714357501334189604444714346341397791796933630655324451957041525450319646563044826791716242891000627141734276604566043190509610601047698518827810840547841638060522382967502674758702498030686049504394573060518239191591304659370154283987196964067988471519826900561248346604868241740188313032075957444779964578945509213761879383505562378718444167402477416771970916394026632918526902342789671004730973368116303853319624842254427854493489509149458698028211037986885349292521016291966128799118518261764561672397676194368467680461393161010645007954271972443338503778091479287587362729776472330745075642838628014645464484832456261238811932386649801924298950952676198992707234465094714705089262184330302099052834602122743165727351813628922974593851271036466345140694641126652375678778039238359661958416790900912844201841195641538428413410741931909161013721758732787143537324350029806502580622471078927467306114063117183053145868166746133207966212814690455144364705600142342761137798319074068730345440999883080426224978874692733239274203954845027286828067041798665112021428019742608093169463216377478221724718779543357719494546775869971604728615947189874462739422309657383878967709296311878635550046933373382571328873849973034614676025225716693792011959754748152201454243818347265016898272818958706831322221552473479949302019100513812966420824949883054990112340029316387786607428970239869592151472064018451018812613602225589817207086687128769137309049893870308083548101443673238732025487159775871048311100320430037629454044165192275881537031280785021360203321401342028671064080393003321543761518080978211790272471698657810454739703053207277792387907872220170425847879575178397775062660103833840136723226626463246679006323390769839112439498446822948692369257118014947190635229187267717614918248864109008709717338746132992632652672821366856124474529889901112021416211541381727064432928928012378750786570514582241521320849699432854495745673793496602948266669466199724168179526784982543316880364407850678059465547572221564800338318785691649694787163976047200755957043852947247176252633377908902206693594802452020328917083328689575878495391899127768195156369955141155048644934627612860946123523436160756387064880787924781279008164038731974320726064733124282904904650462061181688136355385590449745024807937107440032195204384638184322587929428072090054288367709551651180055300879365433273626132577652359495573994233996066707766709761196576920339392154999439726711560363783460391095329776723142229179857171485511410857707583646346496872136095104865501477126455795349600680499121261600732867102779933676105946447313004426197071697587722147245351629936196682311252584489426268664321455474478309400197195707566865158827139837815489497139458849907737198997190190183279546675291349043781404185754610590053049757312864437197707047097457537582752623883726527485374717393365035234210227389281495572704365577492966119698175620035237581059290772001362373830162450692148648249621383321472440591765435591311893454496811273561286818806891515135300081666643516206185535620828714486898154635533677341235575608853289797650344615219347204436107120489897515205492990341826264380196734072310945773622286983349952853686991004848516584005782911866729583655382386300990923043628212829129296656403494330754522834341027068740244081173817301517570875718049609899097397713785059377780397231039664768750485031762259388347606974332348178674510347510261162650715402254143813735426933474833156729335644970831605886635894344540583420086520036018624408300755608465612291244823583838657341656989424777689074394449599776160942813181541078677246408905375954402641020614531342159521124235502620593396499937838143316386540376715395646500750278464758351064021178111440011938540693047513935337594847334746466751173933629010720567982750533136748266298462828930858589912377620075178095993371843454852887328920428578843304496375140074223833260576524043585934761400080425610717748561254963436569877299583638024601439956211122299035107240088447366190363338731189430274088743626620705141401855587560073041981447071209106589909068063875836964648971061935239226352979792566869273580012329520397184372020479826479168271626810648869872040721871131918756180881257526527797439946464789650291711146354600291980621551712326984709415244041954843568953701623872455347306362839521343890446146211198859735923069663521395703834711147280236989462490804340391355383307655697472165361089142871137532602709199765116510837287598945830759863809873856349633127202585184026312705371100837501054220417678922954245654133496128133572088217387777711099803139329381211277399195822911005684051937410676211693347510053418677057707654018408153918981051004384020235137719240305554602351395528747801700071705824038015068860751862163548169092191154022186610197622776172044166068918187816793014526955343338738142492688071044394627242906939883812643439388493575223054570105496748645331018476171238321989784433337707152938245075902796672583337282658181546426939182440167914965683203475793907645587614031578467065657196237377952944520661801260991816217053509658899196897330653642464350154078441998548360544439353269567256277648741665450886029842491851228633664934238140344304673172685679404392990174974388549087106432905804786268515738394883452032909836282636329752537082216252838409429591697023092340118876583741736082254456743353091508207104725429413351462138700787836628628546779944678780739550671990846951077352687501122868582863352431149850826798670264102055567907453032878893931365914667116559190446247755626367257920022276444497685870234748334979548801905570681207028210909807109919929096561804912309534818361082894270992398147531841433127587039917902234541728860061207886020532867108981145164195409828040037715406480700950446930800466839421580339522244823149797760629029629885351480171627680824812366089244428717625300968638533939223882928638292801192217540277141737330776328450033713820608750365887873810782077633583763971876096547454802156103466158106495342636385707260778958179931503945099192104732432526564827204519406408688894116574362513617479400921097824633032871170255542065234680317119942811084721870861638828332397560933418656413156248976570001763958201067740112990509789230685395672363617304025763909092394385957557340826421679544841717114782817958153618925011850405965704205175280272869740265181409472426905537273583361447809281239286681048011263805302289970218966553620659186671991861031266401440625363569255920685199743873069421226895882044385309187373987369551140834345498645891531514504061410531707046537036079954425463495388603446729565608016606090314966082139916290063932042751076416966331086151920115425578356368292536629941218559452658147644942094392186792268409099923063119170531480106688519316340614056870655288251225934301146106229618020023355076364378426496032713793315833006959708063485760951743551398089586408853296088332560646584206412497725890078922326
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.105s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:08:57 2004
Input: (3307778274605860019775884877775856144362368451681-1)/1485
Output: 2227460117579703717020797897492159019772638688
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:09:25 2004
Input: ((3307778274605860019775884877775856144362368451681-1)/1485)/24.0
Output: 9.281083823248765487586657905 E43
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:09:49 2004
Input: ((3307778274605860019775884877775856144362368451681-1)/1485)
Output: 2227460117579703717020797897492159019772638688
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:22:20 2004
Input: ((19694071-1)/1485)
((106638643913461155414345241-1)/1485)
((3307778274605860019775884877775856144362368451681-1)/1485)
Output: 13262
71810534621859363915384
2227460117579703717020797897492159019772638688
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:23:02 2004
Input: a=((19694071-1)/1485)
b=((106638643913461155414345241-1)/1485)
c=((3307778274605860019775884877775856144362368451681-1)/1485)
b/a
c/b
c/a
Output: 13262
71810534621859363915384
2227460117579703717020797897492159019772638688
35905267310929681957692/6631
92810838232487654875866579062173292490526612/2992105609244140163141
1113730058789851858510398948746079509886319344/6631
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:24:38 2004
Input: a=((19694071-1)/1485)
b=((106638643913461155414345241-1)/1485)
c=((3307778274605860019775884877775856144362368451681-1)/1485)
(2^1485-1)/(a*b*c)
Output: 13262
71810534621859363915384
2227460117579703717020797897492159019772638688
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089231422893945177960469409526209849748530754885648108877404378303305037677601/68429824557911659459848614767803559080152101573973892388234122623414784
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:24:52 2004
Input: a=((19694071-1)/1485)
b=((106638643913461155414345241-1)/1485)
c=((3307778274605860019775884877775856144362368451681-1)/1485)
(2^1485-1)/(a*b*c*1485)-1
Output: 13262
71810534621859363915384
2227460117579703717020797897492159019772638688
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089129804604476679146171534333279661463296729014810757647207850631209266723361/101618289468498814297875192930188285234025870837351230196527672095770954240
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:25:01 2004
Input: a=((19694071-1)/1485)
b=((106638643913461155414345241-1)/1485)
c=((3307778274605860019775884877775856144362368451681-1)/1485)
(2^1485-1)/(a*b*c*1485)+1
Output: 13262
71810534621859363915384
2227460117579703717020797897492159019772638688
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089333041183413676774767284719140038033764780756485460107600905975400808631841/101618289468498814297875192930188285234025870837351230196527672095770954240
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:25:04 2004
Input: a=((19694071-1)/1485)
b=((106638643913461155414345241-1)/1485)
c=((3307778274605860019775884877775856144362368451681-1)/1485)
(2^1485-1)/(a*b*c*1485)+1
Output: 13262
71810534621859363915384
2227460117579703717020797897492159019772638688
34528830360101553391612970128489692927722577377152797402733388617525126648503774535795229892445195609458825296508235333251258652167998243520597434670729804104604370594963907809829025476845489449321803120609542974116521486604699256675851754848667229087253745345332427324365676558327095628106994343306590098044073496386775697211113478859198542712123936938550103526820800089333041183413676774767284719140038033764780756485460107600905975400808631841/101618289468498814297875192930188285234025870837351230196527672095770954240
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:25:26 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/(a*b*c*1485)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
339789508241478038138789123268622902682275161826437337930524180503614365924381348117387594710648067850875713898836245040343872249322160801488379448173451952669091748666722575181460093735456200981314804394197999766154894410338572663598266917743169333357910057721409832571770922024470937853601171216411264259447302804023730834993934370177587539884227960104041605756385429225
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:25:46 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/(a*b*c*1485*2)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
339789508241478038138789123268622902682275161826437337930524180503614365924381348117387594710648067850875713898836245040343872249322160801488379448173451952669091748666722575181460093735456200981314804394197999766154894410338572663598266917743169333357910057721409832571770922024470937853601171216411264259447302804023730834993934370177587539884227960104041605756385429225/2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:25:52 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/(a*b*c*1485*2)+1
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
339789508241478038138789123268622902682275161826437337930524180503614365924381348117387594710648067850875713898836245040343872249322160801488379448173451952669091748666722575181460093735456200981314804394197999766154894410338572663598266917743169333357910057721409832571770922024470937853601171216411264259447302804023730834993934370177587539884227960104041605756385429227/2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:26:10 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/((a*b*c*1485*2)+11)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
76143839930854948078019712051598683086537020696531777652442736914081847413446736200699035839567456487868838014492373262769006861227173926567709477871760132256576173145279283599930212707176594470880673286646179405096106095297847918303005186086152190263939140579160702046374299088336869456492246600718275148959241976069527436882377721417276106352343508835314152049933398876775364551300255067876153622436115911703733942703350899174070143905851712587665225/448182407543565729092788612267684030593446727464015320990500207084076853187865247
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:26:15 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/((a*b*c*1485*2)+1)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
2360459037856503390418611073599559175682647641592485107225724844336537269816848822221670111026591151123933978449263571145839212698042391723598993814024564099953861367503657791597836593922474428597300871886031561557979288954233285467393160768670717898182113357953981763437603271738442953151259644622266529617736501258155350543353709363935559296922648773894738713547935365180036301090307907104160762295519593262815752223803877874396174461081403090217621975/13893654633850537601876446980298204948396848551384474950705506419606382448801770407
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:26:22 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/((a*b*c*1485*2)+1485)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
2360459037856503390418611073599559175682647641592485107225724844336537269816848822221670111026591151123933978449263571145839212698042391723598993814024564099953861367503657791597836593922474428597300871886031561557979288954233285467393160768670717898182113357953981763437603271738442953151259644622266529617736501258155350543353709363935559296922648773894738713547935365180036301090307907104160762295519593262815752223803877874396174461081403090217621975/13893654633850537601876446980298204948396848551384474950705506419606382452074324307
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:26:27 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/((a*b*c*1485)+1485)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
337208433979500484345515867657079882240378234513212158175103549190933895688121260317381444432370164446276282635609081592262744671148913103371284830574937728564837338214808255942548084846067775513900124555147365936854184136319040781056165824095816842597444765421997394776800467391206136164465663517466647088248071608307907220479101337705079899560378396270676959078276480740005185870043986729165823185074227608973678889114839696342310637297343298602517425/992403902417895542991174784307014639171203467956033925050393315686170175382077388
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:26:36 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/((a*b*c*1485)+)
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
Errors (if any) and Timing Info: *** unexpected character: (2^1485-1)/((a*b*c*1485)+)
^-
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:26:42 2004
Input: a=((19694071)/1485)
b=((106638643913461155414345241)/1485)
c=((3307778274605860019775884877775856144362368451681)/1485)
(2^1485-1)/((a*b*c*1485))
Output: 19694071/1485
106638643913461155414345241/1485
3307778274605860019775884877775856144362368451681/1485
339789508241478038138789123268622902682275161826437337930524180503614365924381348117387594710648067850875713898836245040343872249322160801488379448173451952669091748666722575181460093735456200981314804394197999766154894410338572663598266917743169333357910057721409832571770922024470937853601171216411264259447302804023730834993934370177587539884227960104041605756385429225
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:28:06 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(2^1485-1)/((a*b*c*d))
Output: 193685730243287162657414873871523685679016093168556125666353712206938783557039449823078714620457736344604621408015174740387727342825797448303751366694631038646656032612075971065622875663928881099094267221303685466069645342749491711
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:28:31 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
(2^495-1)/((a*b*c*d))
Output: 102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:29:03 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495*2))-1)/((a*b*c*d))
Output: 10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660223/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:29:32 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(1485*2))-1)/((a*b*c*d))
Output: 207319993405028455740282213890132551508923741970416133808286344429697134371902730196045752872868942195373879184128002467905761042371010243559566841089232662278169898379211225949845476449898049116799053607098361173283002696438608112272198913663314264575255518744277227659284475132138937153461932944262356104925777948875316764481487843211867468036478206260413746005677367362915682390625936275806669343072770314590200312776808166759217025713143201461406988061171877950028307187501202008999764520496702681510457045214106029608409170630061108059409613150688800322613582111020721548523878305798721931895955011414833875641010793130498801434389266099314617063778427236227172531334808063
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:29:54 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(1485+297))-1)/((a*b*c*d))
Output: 272553819949074586335764329998110422759656186860996340445302265125028966092387690224317481804566269064306176556037664118524558990075759082016328514625419716882795708276263122467567105569780144175007953279052649090485357505103672130672696762561233650167948939378773261756571911641591694320973412485707944020790964611660462067503447189864979236486711165777839517909960620368166542340448971757985143063215507670686704671126834213154658267533803927190615815865135496025511405226750855106613371521043158334565319212157986828934686930007752703/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:30:11 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495+297))-1)/((a*b*c*d))
Output: 26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608895/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:30:25 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495+297))-1)/((d))
Output: 26046931378436930758124421057504913270096712196546516251547882077203270460225125279380594534654508948214569963255598595491753131461403769845169359579417304867559209294976619368996399554343023534097519594280807038990979484521392426918608895/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:30:37 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495))-1)/((d))
Output: 102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487167/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:30:43 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((3^(495))-1)/((d))
Output: 149630830435678752437799453002235881144129156485603386997308789434488066632032491704520610135717649314025430874627176361122863915707872700176923584018773768642064902254517051235083715376814046131574445973622027072954767020535554713488106/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:30:57 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((3^(495))-1)/((a*b*c*d))
Output: 149630830435678752437799453002235881144129156485603386997308789434488066632032491704520610135717649314025430874627176361122863915707872700176923584018773768642064902254517051235083715376814046131574445973622027072954767020535554713488106/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:31:06 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((3^(495*2))-1)/((a*b*c*d))
Output: 22389385416870846871080886378298436315016715486327425827108339992664204259965535395024103945039002556587067989244061412656454039562069110600778044086402033464201260397268722652001130827430859815989947333868289353606817182604668909516868468103678075403317688328768994299743383535657486084734125357836985151667771995525387090217081007270366778386061684433011548673294606888716936102875501985893392616100341418586083954662468506060227703242174564040214302801608377834830443448/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:31:13 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((3^(495*3))-1)/((a*b*c*d))
Output: 3350142332870860326394087024458408218357150634882818245036677965610979518992059489876070439777641399217569977695693378639012654693780638773833405904539160639972696912452856303242903430344312694375585149082907474193532001735245921059069084529218960274655804558452054982099065802497395888097479687842026756328586703217040240484605459647890912722686748983209336083487438562600206893785513849892191180735170130475334969879001021886867494782038694172499630407813112970213669085043476769840339696255399912316041095306750757958008723521746000296101665316132102212787783404926305244657081711083768195919225955011942443989727987531272853724704505495490792061440065189685511085506034669825519452393092004817508397561042/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:31:19 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495*3))-1)/((a*b*c*d))
Output: 193685730243287162657414873871523685679016093168556125666353712206938783557039449823078714620457736344604621408015174740387727342825797448303751366694631038646656032612075971065622875663928881099094267221303685466069645342749491711
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:31:31 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495*2))-1)/((a*b*c*d))
Output: 10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660223/5526446061971807490121430550987003612992514350641740022450848825408149971512720851212882390047004284478729272954734797647577798774788972706754439254531209229055276354325464792618800428422407819952525408935662074462721
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 03:31:39 2004
Input: a=((19694071));
b=((106638643913461155414345241));
c=((3307778274605860019775884877775856144362368451681));
d=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
((2^(495*2))-1)/((d))
Output: 10463951242053391806136963369726580181263718864311851635192874886429209483641954321222640418122029864527291727710479949464718215680589004332016189037791576956967351342601788071700268169006221818240189631008834448226154239518944108944497601509840881752510934060240763835605888507473266002770708660223/795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Tue Jul 27 04:08:27 2004
Input: 2^1485-1
Output: 1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host d213-101-243-193.cust.tele2.fr. (213.101.243.193)
Time: Tue Jul 27 05:20:28 2004
Input: 16549549541^54
Output: 652309305404563192519843192806628888806932401805427774843942575211020983508259239029609237549579051319774232181236187708314148429148992291048847538044565466487765285849120028446624032232159030427454756435386489118083618522030075060023750521203305865201408578251069862597090375946115906734889094588452703940031890992571170006779116499775766201822967152707638464249076680888651144750571229414940207634633759750813299135478649576665431049974482096242043927620540748523709545781058094293262317770942927372932606943086905480425590249924981893727128388890761
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 00:06:25 2004
Input: (304805*(5^60961))-1
Output: 2480027033681907932195393397393848995673538124510816702830248117219353260703320354028336940092908319594342398490719315832758280885149111621870931572617933491355717814370354605424817442106018466790856216691870305981368605172465902730381309769083199518120377556089484393298725327283890114112420412640961465971686522209032813829673200731838093363257347465562461791929660717023894017542016903782496745982360461768863961021782015344004394930351069454927844013518234964943988695994773096870655731316199596779770708154791915609221781567192054100433450411198514345344999057419634783956122547480612329264963077955559376324394105103448145542981842779881529243746973024439139525103696611093874180561751294501349867620605794840168415845158864140647361376702091194982136423017783158794057776128016125307280486183546039918400595831145152799617667616428109551594400844411494949150454711588645954537184563764407326261868933363298772757288066554369357908465682784259473041591935690571102226048061703629482037957547109679028298094539072713855934215498409704939791433321221619279782564682628133197261293563734425392788020054280349666029270477008406002786628253171351364002334954107673344465565831583995658152866271052429152903035465243759155201827219899327881910209606198205684155673769554489566344635506236049822628581414652070120652125218822497253403588180764511433488513834683962922384928749185339565153494075043325312484468365510875319092119080572769862395603898369567101867369830525736987627124335732337658638866808711687648688401701537474616831273207898645242175212816499472352506437254915232337526966227483551826275907961084611385123883076778592577479296634946931775238665137905177872177331810509836113815241464031074968448116776921157471488679624404883116072496844078321320577784449252896133930622045875631720725438838579718290419277479837135321376744833360079589398743446659205217214403585038093829969307909324091675956327850929966925900853447169287605156911975668569879918652190687727192226048797311969700893076961350286191016832784361833275588642488253655580717460899971555548351856922885976041512462894600835177518428351183016815607587567273372160300854481145836495048361474856494715931254471590540233578726868859225329214326266587438221919987933751151468724690746319330791754027180500039697702837726316435282093129220294200879139281101017583533462734102757754266634305388603008592709204866226932740872232000945069596335377059190839788037001311618724829915189984967871471147853502377603941324596382509874679669635765784252763556989813257263511690251402339271720043808794056588084530082845297813964723014951567711974483804264274103587483610425692409877511240249526077530000203420635047373497356309037281221100728589415985503077872118070460634652056701626428891979185702673418495213783053266514777633370958637229200763435639434609573323401440363208512737678063009958307401432842559808664020063433452066509027646322849599075691471294437959482391474468225079610080998206340278399080159271942055478672190222220873079361360482891241538441072566810597726540207019075902522933691095257930067551796545134660526242530401025649609726117442054482068649592426845776557117575378301516589057439999921649912672948251912883814448735107129012199066001305003455480814971023477639166393961892406071365031980980380120500352372189171088881996922878219000827108148353770186844420962423022190295372080025933756760457996761993040550719701068326831815271112514522221537345135001515315371361281916717249701614186736771336416436303593056210468107733194625025335665656980200857238381141678736517548064718010191156534145336863839523951920799814963805115171604153078718189349638641769841640660343179675243954259779670371757064979145886902024995593381372605858104045879231329901803667599010689206951517295669292811818639251812378465826118227031344322606159491559436461927027221253519243247885663235349857763450869233012119555803694400954449500512382693956271549569075934635437798000997962388332180163192054979167802936223962230263352436572026877148805826590114794254489839590140421554932114305868241641753692088262053588481032504670976579343142462036134702588337725240866123602082604782379243544691898787621946735902162085387680682452079101235655565692904085672955614428888380610957935743789365094218015960825637773726730034855822649187288291684143288994527504324233629284413868288037121647399851361948730377655161881330926808858092615332036362023168297518391269081576832866862735551302878622365849466660483591669683037615966426692921243620167479164861039129590409997454889351243222794319767545444314160471238565369171649080951123864299556270260548321153253635258237901472282914873728877995446799587547843717979869262225825773953973310719495764325236885154650263976208028998883037071457050173469278034233218472627327821605524042262036966910969346377838151895077079310775108550256925616378548682143347369286717548989001812513691214386703027235131842798418934967810750433328476809053675061213926592828938982714452066768815820413036662801065761513324042517637933518867441178334738653570139370479371838044902447239980028127574977414288422273027632558868890952693336380153848017776246756984961263437462884880278721326201782537847556138578421835617955325642139812071848779509641834576923291966194548215213638671359267417350902309545565096047117859490223661911514360563930543662566947743946306765565700201967949426785931326987609931864993926782426829980477919316486498857714063129036774392812422943835305190350648000373390148297753873838542915468023607494723131736815317933947065410128048197981869817931966382754306632599744683908475078604820647584774347668880689125384027667646562324752212947748174636187275410708613211571117436152217257563355709849945492780201088595356852878157706572353057825067728920154237719326844600812089839991743205375233103711824437356432951799915499459090644036164031913313670001552762265289823474235979675707815446321628780569216972566165207656961694025574059635515731223176169750119153391030026687142496067166589364632029145486341457651384105425994784656362834164415866635954868270392481819263465498881847936599882590161966466355393130843215171466643204408452326951078690974206158421705481150916265540936049694781871232258460052375617905279743122827231225068425384586311242386579045427177168467261615473581768685062779593174611116566837310238351267754909055334484880230079111237593418371944583489649612577625728938144052888273572284235309244340870719543071234468584420565814612334746241016970145731330562235619985109799822323662230850072007636812154725709824529376389398193979463817683223087668901706624516515481017386042156410839222322867602656457330827695740387622679188770392172204030013518733400144333692186161693762294242885475577732321138080772930920232467103782913927167367192140301862109994278627987757402799569745955477219807003278979055180463186986836510835127819006637995870937369422817498125807588627002891143149086372771320661596188555724610391427788438069572707738830934071117940637698289107163604605239401729349930240880388592861544977636773247458794502026009123637533947732583193372252749203766834233724895344519398296578981693753614187231538952842514668058782986130158585456375266402492135696298627045342951139333746214873731038262580154414859796719814224339433214915908317866581684097781171818860215497888940784474459640060187513640297476134723041139200755936659946904649320756311690516117195189109771629213301319831909627656621680430958011004416256259065356645778865298437085223542612656580087988058388479734797382357894207134564343138251594353350146261155882170800425918631569689915321852189548985061698251271487765635367157514132939283104674306341080878944703527923561700150228989631518399937899471408375352237992526931527254482409872177982569207424255441399994011582876074598790359976860296348627078245571665494682915961438796653087225283503635121925951506643943068658609208513163078998752179827896729164190995474325739246695867713465350584586770136401425024933221741373586199323919574860981754950198161932061377631632927239897341210120533842008054797391519680705006352314500129122820641095527221622373663451642346335498876247983191360296118437224745407872661903528173614747683581906994089723272828659854782414694995596153523306507970912554852125718401965595171396293281900383111328310045976294723696420804500015579085996388310801900006572602091158052004808736644025083009652793177788764572275769575945477269569641259313941413055522043627823651881756083529500659415268523815349029934820460917040451043545334180145320991188085346777165250908188894952206402857898041092783105093607836640210043833210796779873624585653049983619373563430038878362039156446770534035835374299701144349815586532276230238533642831778054771352070929746618177961363923998818030901715572907714669471720081964960406617028556847420520543765563628291969518048921445163004932956808355934847135602818573631550402738725630058668182651943531096267840700975975788587834373579251557918203655700082377254332932521414161127229221184114483425778905214752385049577044322656493075067319137545572961800438249981982785127523828923848564976868070311339727700058028306988577164578451270740410822077195911245363221753917816031110619257958411920753017541088586452445493416609942272153965516247148163400429401663257574550915584717324908004567707948915005099480353351048894326133648855594151538902159099466179415297805588916915971429798987879434615733645939323344418779226498034566089485754833385229974890572233969499842114272244326128999355287642564237284480716803955112051499468740058942872419389249677582052495871293365316773453333581577865862018295271186955890650639685960407015003479082443652286801349531054539542369812577876624474731340002225739655805816455515244031932380790035016787238730717921983757604862225354969529939887122162138673448637916873986223826965702115858053343003581621187283920587662011245575277839809891155976498115075028938060156900356070619466457053713992115806273259608226769173007759160210703920408385068112532873512
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.665s
user 0m0.550s
sys 0m0.100s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Jul 28 01:15:11 2004
Input: (3^43063+1)/4
Output: 4683084579573389076302083625843398257440566061794980122926742844075064401551395976572736578322744982029296509925733522559459179256123624709614866131454595399862067184000628706628422534313909056207907896740972960444051789049654964642310117832529861717693291889783904740684094087895741539163124991302539169678268245560321570727101187276170322634404131768489974571283069018134728207159308942147908959732113574583095349222078008241071378619762310897109204922756771367081086278069084999227931482054004059975916555848937256527595839424460269025658858437559060546181459831585564712275920515937745014049856366391326710813152377038404658203603887664652124274602557344623091489676739251318355133904720316047826452943785969332087771399032055856330166304962709124724808122612027208779595052750637099480632532833023470432901746434280804181095672768437351411628898335194161904645061297947510958222062067551604190277031555488369475498458235751757520651558988776615621779918975744738340293113491448301441771576363265545638815942320945256514213811019633170053697787793769994663994109712580063386718888836041903688624464859943730112260204683933806351363654291139739162209597084900282691586819594306568241942369174864349227897866672852974359402267767272924761590160340693215957625896924051220049215377722816888531596582862587303831227306035958762941241286570902487940438013277740136185462506156295002264018812944247480423571409041620281057441766590920677513655235978323708957977488328209144302768528085380917969435055629950497766296011018057755305503197377728966166485613832567639326553369088782520745533224721252876914605066755099828349482751806135028711676425090222340329028415693733384005818175666547212899551738508620709998486757469779638167511283795280987435361370911115575970817740192624142577513753263941861192431842574898126456691917736006415720346313195524488010822025675895358201346669891387843052731615000150142020963523268156448471783399991805681106195621076903434568354509935073922009459177425516708407813438683163689611877416365641178857007066840854590877331715674479313304748300238320556922768023411475311771128876354483117463699174853324617918387529399045096803102221881097680310926710078941754617171917721087387792490696232855445320966083774129425847906930374292545496651779320480244645972750541248013591040080233288354711369989070801736047567461330746266114801815121575359471122429311869794591002599231147122524771887760336087914788278797479711323433102874224237976827536857404024111373601896488546371468760900063452242693360721168701458470553505559994317915425621165728026111287190345106403621105997659168199179299673395031638551407597332302973519695146928823788820423461048767714652232721876386318152496447347172575273090838455881789570630032198168668256582341975955639051446592583360249614601747265021721690340626547572344209019561439984205320843378849824283328652353427739693317261456659348436349297429499957214979472420526168671223230493794692475532391722167258801519146677153130006929039053421567480578952622554035528912320851326021508198406260779563293075152039764220303043587589830186739569138942016855151235659297950110158129570284775259952227653224706881943678343449475172261638153154394441474614089944240897505663702025124661315742402570519517203193014230169551196364453710318552480922123082427766328134874645879705212976721304146445167913088645419483644425704248675590446614275698709138165718959724726804997928562895385178791110043129088682764005736584266833521172352716598386987821230767697802893150979682979521354526463656939554896128429338561720936067220857209370885928633278385964212927180780432172449737238224015225502483961529367514863246970388078606773887227980866873881092693436933486442319458956070984174444082733794239989389730351519563159676769899649623302562011075879504125095531993552577407883545507412198739245225739022270634895098903430407389197428555991562493074715868818986843966260937305895006889470711043984764835496382034325088869089523702291801301867503293256903394704741167051054420971907506913465944342651586033629540799034144895273599344509561212973215777313603798542895027086087351805356608496478315497331584658940740463126371205195139825231561989436842828463346442939476622544389798136771676493080580410047368783174515097236505935706576230458584240067308761406105650653670764694090074615125260629787211953211351348649530439576805668096929549619268511936127828548938508127921681106547223773492395598325180570826384016700454129962395489587326990121355754346458990573019850137839440886494184388093062841574349509746524401487169531404964873825857376863337021183603368316806894927126786665118932509593345035851387394691547330956167940751484949991606311932500059966594630494595761396193078273219724952715594716652279288725996194658403439625270078476809555610215195545670276157092488080768272451187207723941116495894178136541788125013429053375216614080766887139394975861784635403640126292027755729609974624825094733187772012301744043300654439897586404538973689307163989436947438389478077670865919062561146154751132339977358807034372037158867803657432124562465647857008613372483596272790906107245710621079952669267555157784208815121195700572200654942839754992913753449803908690892562990176924870507357034041226355103628879153018210477818669304770208526429449429844639704066459969360622461473326834518750270328268773474845016643231247205832360460141205234273497452048392724957346141938713194534537555175013838795293649720309880312093192504366232735093535492122465972964645276948895374656570747578093503915269535619433387042956470945847080707625016156057029935921848403441301066958336131159714860997409663703331247959644847291996246586473842484002971646195418327588312571224242396717696801117926381943220721919190960816165831583135090878526086093911299834177932151495804298198994919745561517025967529898163735968553640141126298603477735447619860303996744754166461238601087021987648699311337783309002813388809633355946114928113955550379279285516508465304188302780354744843094637157345956086355005163329641288721618355791178942825677996395727609181732675250728574346026197014297071489843349468953007372520210463806187311611822276760340289023163770191531959557077908134427952338011665132915208499415494304465130253412826162175688243367000228338480082315991972496015324132644518052264154902182404727084480695378261513392037578454500731875379925993529025845192637954223136582466517187226031168529169441219910621898174718110862699281363749157659414694828245400264742116104185356495357075134764266669510832804852254480414587517677544111738842266881915420654581319120209553154734613406316947132563029654323431698587174622759327734565445859771374987880828497225767699272489836463419917409353701521034047026512382836116563325299463630901805904596482031056992722652924705373362581776131548336175969472735948741908341692450610095284250339213812976360779391900599289988486313023749083559984676344725308351477639115200271151850385896503480303285512981356759930788039952288825661541835983738867249458161771691775822556456301660790927061912833245825161426084232742036203236229852044889551762804388189960062620968689354009522943514532921314302040316161422162014729089397705843162699878523609562466363252502960387989132767052917088040450829342506347730111324493557706189364693612258640061230258322089345060793464790465320444438345753962803831207216114757525032515152380587056455821661365608444229175014578500124965251334477068707465393258979605047916039866932566653272474546535826503354225139534127796816495298642493375230932897913128485888384503301108292201283519581016131918519239287371580487439007879309553516090051513031883037451247410894885034647357144818295688652102963396838323587806893926937837347019395763482796441963847042554018566962886038164100385357596241425556899691046454385225026672381677865338584200151071569231085727800995161543887332448571505454790987530350317778461371040489113082485419388116976299422911559157150849276012689680631070559226042242145420632671181389481568801843285826427996786258848355994890241402729581631720077041948305605673404401063966378265471474522932199357126150039032755358756752642742665691680478835213943725008044391029562538775589509182857829870889527588213891896196446121332594430830281504846122841791914627202911594243680978405659644972326969472372465367686824929164842775318299580012078337097038466420532945117160900599407076118004196940780598970344215006650487344489022148207748748751396035054685704629164845711504661998210988102159544937184994294229281963393112935494689234782266381577177477062302577019583954398705899035663719359427003889716467491674153692428102603382467572044177476308098807425255692948129980611516052940525154687585549388206481685556911268865928851734615495353974453637005915274872582986696865048400967482030997356946467296941980809295824890012042287251691956474975017383776613430458398863938650933901718778318197916801766098066771609201033644591146954456103396314151825097687492817164866962513666500858861169195660014266680032435883446633476132896980066084003531558262228964435153296710970013069062827715611688349116625711747993812162816177820231956606222042218417675084935630446382173079545509927791764939332676948113456049113439443566716863568614074847856875099858618611416722551458197392750077643278420955660051612720575971948846729384100809364259949300703368429674167833964354997198138935902439391161615011399985334275884727391613587515348323011106301222617861211215627175024189763857121037104850485405691259966109281593475556479834558290303916580077996706580312561569639399216287110691913053680585279700386437713593813965563816637794735842459627332260095300886647724835373619339044961135561137112002030785635224930254811041136883817711848659080382032191559499145395855286301164220143663345887833386419797592223330986261054317755208181023726827506972116266222053878620699371480315831034861497783438899322150732040864132887825617080336559343875429191531583463033946652730083628625372271061162040369346632089163798396
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.199s
user 0m0.150s
sys 0m0.060s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Jul 28 02:49:45 2004
Input: (3^7177-1)/2
Output: 9958986126081260794873885211223427690778581533415720720049226471521124575719758647347625159553844789791302348115530671880253873761135315229537576587051367364601949818284594590508709267200823252675592483460738471295641917990267714272494745088698478277189358876162440570796168902067971069828451821110457082027858930608813464205241751093544301349905956839676465066973229652346872813537715190733776544504262268808877894338241016541128995577173262003095891665603832971847860731740018404605045940280730771840749261647853794795850681964816859564538249934337910095264319534657921813157437599556602182130026623117442317342182270572983227809373707175956412233986557476004407659662350266092762750266441646743193315621415044059254528523157187001511949309331775402483973443970509486380238650395012602099372431238071363384610504536236468653940532563758343989083817869140977354453416414214009326400873100183908825773776942467761718971088653992326695071211641291817999910591062796209753754798844512103023790940820812700813056621148542579724795125200695475322902950655599728906709771788925283076108105865426383767941651572088870625409521343175311788422903190225346787911737020552140708287430272762656500363298422235793098222275262324600850282115585686050088705384473233994136720161607542935648357023177161559614312227328863015804825370304494316663420513003984118038282697535301718170568175601871556114959308102383977609009602576815605199766800306312810150264631244644246541486710731791316199236868669776219864752823299692337912035493771152344240264400769487170145935560601816883678249893270536570728880115097502155324326260573876466319201261749137665383425728563285029925294707871354342352468028687552841899790163242524712789061183928165779874928106081660637428778474788159430912099064459688796566604912133158040965655491187156561561966421248059708193009112733322531475960064567377904411047391145595859511515567249690613891890138254939548647266470529845239309809194246931499046521950996578730640809480011557883778151828707872240012195478644319139873523426023826047171480515631845395596057780889568279774630554019039902229236401898852186308103824482445932561939442235519778110461282430239332232381912855138506027712957493152819106551992370669886842634135009771199459982103241651710814259455376295754096566074266404699480773340541351890089455040805450208437978199195295253922564700280631536623413115385270214005883203206067660636565468516993471138431748200028894133244506315974091571381991542340521502876226011160669833772296396077135298499203534291010159709590664795094343994952806637775565433450731908966831067309741486586195359680042042961400049459499046389860231716567668218739851611407450139783220741660264467258840216131126569798528496268020734203514839164958253446392362211281743133312360698822701164231504057621661508803064838909943652589148750696272924580677113587142399132305047642444744670836901804206473712991937433097756692077445883733299547940328109703030714826735899461584727701404016681321471837484386398663541145631535449154791015265131016653188519205195257481160048181859377682927061270338960402172418145089591436147874595184397596535296481344676558105413043184188548082418583942610373644396596428867080943351336493534063158038674383670048883254685091717123182160356840835395545763507775780785282023007176247510524421680734648505723316056275821107388884245359008257706987073014515351202199418733336109299077011391356770528881
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host anelise.capfed2.sinectis.com.ar. (216.244.232.3)
Time: Wed Jul 28 10:41:00 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 14:19:55 2004
Input: (3^(7177*2)-3^7177+1)/(7*43063*129187*100162213*338424259)
Output: 300540990282180446040961437166770157072375520843328667756515375764172693604955749648771898100923749081692046224841155696079104173144215107518777894151936942630876154157405551213566223629117032040451324518543372488905341733799158811173606058156565351588144289521655037638362562318614201952665760114873304697317569704771652804296999472427847734745006932753715667826687688301313868962238453928605215322358096248987085340753488153434793386130917320119688050931187876145031253257194300227132608478638417468027300252419062547889991456466777987480939990448986772443048910635417006961953951238666849694301200996330307737832883668717124372581727276548633211622210316202717861454692522084342092344352708838208773675150012909651037423612235137538162570088603663637642747879304331873494342521441649732597011329392591613830668590897626116868252772066805805242766493962566627204156519963682916241397668263515109084532367970103342596111867940296737584375348505093867677018206764114869424256475659579136267593531822026700291791295574621174844595432765067624194970489599712832084090601155547650370603201774665283466348698374771788003543859119673459763950806198009223941416575331549754708082889749305290521817392040123121018635093557951417344979311257840396640006287625892120640124001153569150247059457168707295019417454706749676918505227617161877792890324531080663215861800757651633160949778036667215988965712822062682799113484188042555784125560428195116602192863497823690944098501441887668739727343868910732429686279456264712116969528850269094125150838564727055352198235020231989884375760451843321215954786008324557876752939506871739377165116401229353811888312559275822950510568051344267644365412802335120767927240711854702725246914545428036262548460376489327882455031553397927474988284298290986867755658932922680386502267058493783248509621858810428901125948728765597081737555610424632120231076338422016074679155714258414351317709272630712178682779480094828624299194036328440290007277278256944512768928596461830427574310965714970700914310860829999493605679750860329948620414259870914302721148586535162352673439264408073742919302194800579895992168776678777756600358974569813996398007961239356445126856779473248012925209881442759841373522913688755499644159597243655526878755810930408810319827014231523590820735758234763959432411695511311486168345885455955568101608470084600320296007950247548912814307815407229800247227575809756808028313807705855241266878646400811201692020996475536514477363806448723411400729640506619196376223638646185490500118344307338941790620222202477199511883557887375157473114212431913771074537212990301577018208990262365166271588270693718748833432568560435520265627057357235221595521616394198912499030262779716070192302025697271915495039824701606735042075045157281189426944664797393655583201183843301840176900555875176839567310746285573371811068045547637535347553886539223225279964638183321308449406650167486316231277887748843576369401346285191740388605940051631320305371226032501417059435465935973564765541510702349525802833035067534023046889792964830025463632769980833848236565306478782513208846046091136620816691454313222361486304667743541783428421015071386693170653524121712400259068448025705649712370471693202673932806165241101584190559261052685488287049965084125270630838546241277212742213148474536177145711493737983599396438453791205970345173994220627132707732062574680746958948957312759484383789157700179709989427925324359759022770711631550660307873765010960325315666029495937033701011465689564896383584831343123137110742692798004223539666497384172822856076047570586687669300548582399028284198287579790320964614939965564886153021165230192567446824372807327530981318274388689424840014156602688371418217217693779099750448990853416731807518743662436182500209649695178182387702542486451552673988445268040528512617218477319872850034264616467603979532818217516190119702320817508821148320251474170401356541502226418225629992626840974022318349161400180806943362761619830347200347077779807003392994959975910293436456487156263496142455462861305220888078201083784542954717376655646168025329171259470365979988282765043925529047776889971397093562321926531340463821193840170798705734569105792222573801731925685167523516120864461782876308527621227770842670897820181758551864389220941025755608675189643565809984669943415162965037316058074940108449308375114344166962053117949168731065902719461661720289846435584746326955267906964532748970979584609519884232141571509037416558020886393300653585191645416895108790202224619267433613141149575989536638198926259621541424698684401453395926201320231344666650227522824387465410384486348665905767388012559516445522206796486704953616391008946548991883498521366810224068479530838318815967600749359808014352764309371136813133607426230730167473186705939450679738638517139552109045276675177163136340799384859149363333501449035497054836263410129256226175829670458718306725379149604068025107071718655018600645228358016595724676622082843528969333001222618815325866439709037552665007463873058520524603849229371348083164947971950118256177382375918173050479295571013744838602939396949347547703722735557474699385350105284741219280947432071186295314782993069273643918055780396585081973004293645458832007330086216376520819419272483952967216253002404263788622621534432547580735779550271490680349123634219864497839797203417459298017032252095813636151864738527183181730571705301032485192629706543448414956877179977261451197707340115237888538175496970931858212310261409066953973932308417503810110348272558480172131400994645696984789214876341387706984152330138415514103109672867367011767525258521658378651811135850532499811393668174530194116300355387395440192266860730124392964535884310470862774488079540643857468304459512667946852881831238043423791091120627741366678826994321484931215277098120589414271616978436899130721414520593165797013188976023208367826251189633451077459194320731515763906199176254510934006141899865358986909700689709051585735289717000244391257791909700095622627150061949297731180424736345873606627347271700080590582129613306868659794131664394002938812346187648376507893469066410268464822760350498535588214111257822668975944446316818202390621855833517554074300653230673636827157322104340343180621967993505587376633772193409765376013920827333889037879776259637362726958783558701045915437380966613277949512161040433842525229570760789354793069352518791603838717338119047461164952303115115558890473441877974167638072942631717369187250194223771666212227847594282048995444483946538999879860621066068986617870068171951120768929366412034741434553109116110898888390832978261251493232841012579314264437097477190880956504100593218493199021381084204068118005475256785015583730285491560962649894512679233993447513899613617786898707901775496972100300589648155406134923759453048382826524584577340963
Errors (if any) and Timing Info:
Timing:
real 0m0.361s
user 0m0.040s
sys 0m0.300s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:23:03 2004
Input: 642*Bern(1802)/15720728189
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: 642*
*** Bern(1802)/157207281
^--------------------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:23:14 2004
Input: 642*B(1802)/15720728189
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: 642*B(1802)/15720728189
^-------------------
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:23:42 2004
Input: 642*Ber(1802)/15720728189
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: 642*
*** Ber(1802)/1572072818
^--------------------
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:23:46 2004
Input: 642*Bern(1802)/15720728189
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: 642*
*** Bern(1802)/157207281
^--------------------
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:24:23 2004
Input: 642*bern(1802)/15720728189
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: 642*
*** bern(1802)/157207281
^--------------------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:25:31 2004
Input: 31969211688*2399#+16063
Output:
Errors (if any) and Timing Info: *** unused characters: 31969211688*2399#+16063
^-------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:25:53 2004
Input: 31969211688*2399#+16063
Output:
Errors (if any) and Timing Info: *** unused characters: 31969211688*2399#+16063
^-------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:26:02 2004
Input: 13#
Output:
Errors (if any) and Timing Info: *** unused characters: 13#
^-
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 15:26:40 2004
Input: 2^3332+445242793
Output: 10763302653592405818752987369451977569281248575627688507363245794717029122336663455186675629529841073712070842917541954257053658734417427881667445781559600289827824124887915745314107071307782906411390562388327828564654965739166556699516127222962571162624026815011553674954969993754850055374602960658804801991567886746179880358923296137908690522349380838487123607933871504956384758240894960351099260416804248492907728878582690522457854333118161329794836810078132958929872873834198798477424946009079224171925027332658384773166139360598995014627243335374432516009149747850136596427862569462522452602442022755798878485784374218288279441225413880843750200467711815882430996817231254080843663109690988093698883528717315369484598105280367822750901233657972056571588684836412792503941532588261547115665601817753098996543980433825538995116346280448484236117931576192032338393599861664302038500049392121757410887205200660888106871300408603837072481584848235206166880913470092499415069934114807856531738074829938089
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:21:15 2004
Input: 3*2^6-1
Output: 191
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:21:21 2004
Input: 3*2^8-1
Output: 767
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:21:31 2004
Input: 3*2^8+1
Output: 769
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:22:08 2004
Input: 3*2^12+1
Output: 12289
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:22:34 2004
Input: 3*2^8+1
Output: 769
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:22:40 2004
Input: 3*2^18+1
Output: 786433
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:23:10 2004
Input: 2^16+1
Output: 65537
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:23:38 2004
Input: 5*2^13+1
Output: 40961
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:23:56 2004
Input: 5*2^15+1
Output: 163841
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:24:24 2004
Input: 7*2^14+1
Output: 114689
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:24:45 2004
Input: 9*2^7+1
Output: 1153
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:25:15 2004
Input: 9*2^11+1
Output: 18433
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:25:47 2004
Input: 9*2^14+1
Output: 147457
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:26:11 2004
Input: 13*2^10+1
Output: 13313
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:26:39 2004
Input: 13*2^8+1
Output: 3329
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:27:13 2004
Input: 15*2^9+1
Output: 7681
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:27:23 2004
Input: 15*2^10+1
Output: 15361
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:36:16 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
a^2-a
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332311119246609426758428424743648499616758585478356429398011905527925900924647993912668678193542199032352717000443103724248820652647074359198513503758872016494116790564514682989974157306924802239634327600110922659880294955168687360
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:38:28 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=34178731121643890644342106550148686417484490722236991968000108871653221871778370018500658773622240524247257896851055255356737965350995089318249528401600619307932465001054124531133121860507886640393641493462978992329828864642342063822452459105744790919579980458706507868307785950444862966644941292332838342246424400346744420870727
a^2-a
gcd(b,a)
Output: 34178731121643890644342106550148686417484490722236991968000108871653221871778370018500658773622240524247257896851055255356737965350995089318249528401600619307932465001054124531133121860507886640393641493462978992329828864642342063822452459105744790919579980458706507868307785950444862966644941292332838342246424400346744420870727
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332311119246609426758428424743648499616758585478356429398011905527925900924647993912668678193542199032352717000443103724248820652647074359198513503758872016494116790564514682989974157306924802239634327600110922659880294955168687360
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:38:59 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=34178731121643890644342106550148686417484490722236991968000108871653221871778370018500658773622240524247257896851055255356737965350995089318249528401600619307932465001054124531133121860507886640393641493462978992329828864642342063822452459105744790919579980458706507868307785950444862966644941292332838342246424400346744420870727 ;
a^2-a
gcd(b/2,a)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332311119246609426758428424743648499616758585478356429398011905527925900924647993912668678193542199032352717000443103724248820652647074359198513503758872016494116790564514682989974157306924802239634327600110922659880294955168687360
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761/2
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:39:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=34178731121643890644342106550148686417484490722236991968000108871653221871778370018500658773622240524247257896851055255356737965350995089318249528401600619307932465001054124531133121860507886640393641493462978992329828864642342063822452459105744790919579980458706507868307785950444862966644941292332838342246424400346744420870727 ;
a^2-(2*a)
gcd(b/2,a)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761/2
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:40:01 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
a^2-(2*a)
gcd(b/2,a)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761/2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:40:14 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
a^2-(2*a)
gcd(b,a)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:41:03 2004
Input: 291*2^12+1
Output: 1191937
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:41:17 2004
Input: 289*2^10+1
Output: 295937
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:41:30 2004
Input: 295*2^8+1
Output: 75521
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:41:34 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b,2^127-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:41:41 2004
Input: 297*2^6+1
Output: 19009
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:41:42 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b-1,2^127-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:42:09 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b-1,2^511-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:42:34 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b,2^511-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:42:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b-1,2^1485-1)
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:43:05 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b-1,2^1486-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:43:12 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b-1,2^32-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:43:25 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b-1,2^33264-1)
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:43:38 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
gcd(b,2^33264-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:43:48 2004
Input: 293*2^5+1
Output: 9377
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:44:39 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
b=a^2-(3*a)
gcd(b,2^33264-1)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591331983578726176476812676541311289515534017638217493917415313571276830682084895908334376975873767875849364524848372741736300709019039187245928981749953200669099038218368917465680963996308757538926664024619418753288780282456522627838
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:44:43 2004
Input: 291*2^4+1
Output: 4657
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:44:45 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332147348986392951785552483027469007575388111847925173406662738402378291504771951123522827033655037440858620924407922730274764835843130802563747626856036342796577504466716074335469076807841170583149176109764837974330288705845657599;
b=a^2-(13*a)
gcd(b,2^33264-1)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591330345876124011727083917124149494595120312901913181357501821900021354587886135480442918464274896259934423564088020931796560150850999751679581322980924843932123645357390931379135913191317921222361812509715957906433280219963292330228
3
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Jul 28 17:45:22 2004
Input: 295*2^4+1
Output: 4721
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:46:00 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=a^2-(127*a)
gcd(b,2^33264-1)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591311676066459333580176059768505032502404078908044018174488016847708927114020266602480291432047759838504096611420010298483517787735350186223218013014001577130604166742241889992522334014422387213522505239816504252280579507540466937474
9
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:46:32 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(127*a)
gcd(b,c)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591311676066459333580176059768505032502404078908044018174488016847708927114020266602480291432047759838504096611420010298483517787735350186223218013014001577130604166742241889992522334014422387213522505239816504252280579507540466937474
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:46:52 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(127*a)
gcd(b,a)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591311676066459333580176059768505032502404078908044018174488016847708927114020266602480291432047759838504096611420010298483517787735350186223218013014001577130604166742241889992522334014422387213522505239816504252280579507540466937474
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:47:13 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(109*a)
gcd(b,c)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591314623931143230129687826719396263359148747433391780782332301855968784083578035372684916752925728747150990340788643556375050792437821170242643798798252619257159873892002264948303425463405892583339237966642733776620479620028281473172
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:47:32 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(9730076399 *a)
gcd(b,c)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424334489094188684477742271536083806734500280814571218046995433806172763608286267544896341856962229682848933377246578388993317962996830157658910962594090458775842015618156157028738076262854750452298032986085963364149531555204589779599811006482
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:47:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(9730076399 *5588371422323 *a)
gcd(b,c)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206549910140524424421151239962339741473542182264750259379441223228959622466751071248783505231564218321630833961089087321160456452482058778529004497154338419247345779585820752919494710830754422160929024335898801024696800679376869645970682677053253663522724
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:48:18 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(9730076399 *5588371422323 *26682541 *a)
gcd(b,c)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:48:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
b=a^2-(9730076399 *5588371422323 *26682541 *a)
b/a
gcd(b,c)
Output: 6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293
26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485150039475423079922613120621227304
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:49:05 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(9730076399 *5588371422323 *26682541 *a)
b/a
gcd(b,c)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485150039475423079922613120621227304
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:49:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(9730076399 *5588371422323 *26682541 *a)
c/b
gcd(b,c)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
41728673124540239929160935745445007434374297050721949012668474996881703124527185067020535637565076078288174032696090676202235745185315432938377694821722605093160525585093468309588004038397413/163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485150039475423079922613120621227304
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:50:22 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(9730076399 *5588371422323 *26682541 *a)
c/b
gcd(b/2,c)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
41728673124540239929160935745445007434374297050721949012668474996881703124527185067020535637565076078288174032696090676202235745185315432938377694821722605093160525585093468309588004038397413/163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485150039475423079922613120621227304
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:50:39 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(9730076399 *5588371422323 *26682541 *a)
c/b
gcd(b-1,c)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
41728673124540239929160935745445007434374297050721949012668474996881703124527185067020535637565076078288174032696090676202235745185315432938377694821722605093160525585093468309588004038397413/163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485150039475423079922613120621227304
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:50:53 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(9730076399 *5588371422323 *26682541 *a)
c/b
gcd(b-1,c-1)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
41728673124540239929160935745445007434374297050721949012668474996881703124527185067020535637565076078288174032696090676202235745185315432938377694821722605093160525585093468309588004038397413/163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485150039475423079922613120621227304
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:51:12 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(9730076399 *5588371422323 *26682541 *a)
gcd(b-1,a-1)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577440597093023591621582695081430346334793711910661411633794458201922681221839686347191559251848041323475656396699923046392026654523299467618956813874707013878912966865219577183375474553817144999400454449575601860036626132455568497551450590634099161923537794344
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:51:20 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=a^2-(a)
gcd(b-1,a-1)
Output: 26820698131371925229633259088762938300795308961007442693319399233803869053739479620604074506333102455055425863959379819129487537491106917790831385219701059887161684572410724865507294350520659338577678206558815194424336082591332311119246609426758428424743648499616758585478356429398011905527925900924647993912668678193542199032352717000443103724248820652647074359198513503758872016494116790564514682989974157306924802239634327600110922659880294955168687360
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:51:47 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=6833915656094180856444954531016042429624315051283170402840679076556124690555658368187505854271035731914383516750371248348082314659587904015479836943423185629376540391558722430769377249967881902782588450878930662752795427385297676189732065276889292596193799522730224780462650280018240907032978940001226741836287888606756500230100702963507080614322891425240370349370296820372319608513120246863650183005048424388144408293;
b=(a*126)^2-(a)
gcd(b-1,a-1)
Output: 425805403533660684945657621293200408463426325064954160199138782235870225097167978456710286862544334576459941016219114008499744145208813426847239071747974026768578904271592667964793805108865987659259219207327750026680759647219994371182040107799411215245974513016072415571937482861985505040279419902620243730635218322163884642102600510306093213005512412773187556488212508681508368453809034333804788019539097874327690812903136364888605102531365911916261177983235
2
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.010s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:53:44 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=5334054052187336733953113152473131828902422687722276793558422848602309714401925436526703683527649917118693259694323465657824664770740287769222849964420319265057045833648235365092687818454953225282887422690611269850167069993033920424984591463130157300798943180444208176237237980378015272283176070407572627818307249748036238942976995591320362122320463172639651835128165348810500796320155393182417374331036293492852373654318897821414890628322703 ;
b=(a*126)^2-(a)
gcd(b-1,a-1)
Output: 425805403533660684945657621293200408463426325064954160199138782235870225097167978456710286862544334576459941016219114008499744145208813426847239071747974026768578904271592667964793805108865987659259219207327750026680759647219994371182040107799411215245974513016072415571937482861985505040279419902620243730635218322163884642102600510306093213005512412773187556488212508681508368453809034333804788019539097874327690812903136364888605102531365911916261177983235
2
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:53:55 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=5334054052187336733953113152473131828902422687722276793558422848602309714401925436526703683527649917118693259694323465657824664770740287769222849964420319265057045833648235365092687818454953225282887422690611269850167069993033920424984591463130157300798943180444208176237237980378015272283176070407572627818307249748036238942976995591320362122320463172639651835128165348810500796320155393182417374331036293492852373654318897821414890628322703 ;
b=(a*126)^2-(a)
gcd(c-1,a-1)
Output: 425805403533660684945657621293200408463426325064954160199138782235870225097167978456710286862544334576459941016219114008499744145208813426847239071747974026768578904271592667964793805108865987659259219207327750026680759647219994371182040107799411215245974513016072415571937482861985505040279419902620243730635218322163884642102600510306093213005512412773187556488212508681508368453809034333804788019539097874327690812903136364888605102531365911916261177983235
6
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:54:05 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=5334054052187336733953113152473131828902422687722276793558422848602309714401925436526703683527649917118693259694323465657824664770740287769222849964420319265057045833648235365092687818454953225282887422690611269850167069993033920424984591463130157300798943180444208176237237980378015272283176070407572627818307249748036238942976995591320362122320463172639651835128165348810500796320155393182417374331036293492852373654318897821414890628322703 ;
b=(a*126)^2-(a)
gcd(c,a-1)
Output: 425805403533660684945657621293200408463426325064954160199138782235870225097167978456710286862544334576459941016219114008499744145208813426847239071747974026768578904271592667964793805108865987659259219207327750026680759647219994371182040107799411215245974513016072415571937482861985505040279419902620243730635218322163884642102600510306093213005512412773187556488212508681508368453809034333804788019539097874327690812903136364888605102531365911916261177983235
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 17:54:13 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=5334054052187336733953113152473131828902422687722276793558422848602309714401925436526703683527649917118693259694323465657824664770740287769222849964420319265057045833648235365092687818454953225282887422690611269850167069993033920424984591463130157300798943180444208176237237980378015272283176070407572627818307249748036238942976995591320362122320463172639651835128165348810500796320155393182417374331036293492852373654318897821414890628322703 ;
b=(a*126)^2-(a)
gcd(c,a)
Output: 425805403533660684945657621293200408463426325064954160199138782235870225097167978456710286862544334576459941016219114008499744145208813426847239071747974026768578904271592667964793805108865987659259219207327750026680759647219994371182040107799411215245974513016072415571937482861985505040279419902620243730635218322163884642102600510306093213005512412773187556488212508681508368453809034333804788019539097874327690812903136364888605102531365911916261177983235
163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:07:37 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=68113 ;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:07:45 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=68113 ;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.169s
user 0m0.140s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:08:55 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1199;
gcd(127^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:09:06 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1199;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:09:14 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1199;
gcd(31^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:09:21 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1199;
gcd(63^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:09:27 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1199;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:09:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=37;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:10:24 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=73;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:10:35 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=109;
gcd(127^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:10:51 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=127;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:10:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=163;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:11:02 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=163;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:11:07 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=127;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:11:18 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1199;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:11:36 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=68113;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:11:43 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=68113;
gcd(3^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:11:52 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=68113;
gcd(31^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.123s
user 0m0.110s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:12:00 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=68113;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.167s
user 0m0.150s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:12:37 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=54;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:12:45 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=36;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:12:54 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=108;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:12:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=108;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:13:01 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=108;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:13:10 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=108;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:13:51 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=569209 ;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m3.331s
user 0m3.300s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:14:17 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=816157 ;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m5.764s
user 0m5.730s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:14:24 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=816157 ;
gcd(2^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:14:39 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=816157 ;
gcd(27^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m3.218s
user 0m3.170s
sys 0m0.050s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:14:45 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=816157 ;
gcd(27^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m3.218s
user 0m3.180s
sys 0m0.050s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:14:54 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=816157 ;
gcd(108^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m4.241s
user 0m4.200s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:15:06 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=816157 ;
gcd(109^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m5.476s
user 0m5.460s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:28:13 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a,2^b-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.107s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:28:18 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a-1,2^b-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.100s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:29:00 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a,3947^b-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.004s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:29:06 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a-1,3947^b-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.022s
user 0m20.800s
sys 0m0.200s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:29:55 2004
Input: a=74037563479561712828046796097429573142593188889231289084936232638972765034028266276891996419625117843995894330502127585370118968098286733173273108930900552505116877063299072396380786710086096962537934650563796359;
b=2937733 ;
gcd(a-1,1485^b-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.999s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:38:43 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^166-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:38:54 2004
Input: a=245969 ;
b=a^2-a
gcd(a,b)
Output: 60500502992
245969
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:39:13 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^83-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:39:22 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^446-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:39:30 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^446)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:39:41 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^626-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:39:59 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^82-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:40:05 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^165-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:40:16 2004
Input: a=245969 ;
b=a^2-a
gcd(a,2^625-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:40:27 2004
Input: a=245969 ;
b=a^2-a
gcd(b,2^625-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:40:36 2004
Input: a=245969 ;
b=a^2-a
gcd(b,2^83-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:40:45 2004
Input: a=245969 ;
b=a^2-a
gcd(b,2^626-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:40:52 2004
Input: a=245969 ;
b=a^2-a
gcd(b,2^625-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:41:00 2004
Input: a=245969 ;
b=a^2-a
gcd(b,2^18509-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:41:09 2004
Input: a=245969 ;
b=a^2-a
gcd(b-1,2^18509-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:41:15 2004
Input: a=245969 ;
b=a^2-a
gcd(b-1,2^18508-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:41:23 2004
Input: a=245969 ;
b=a^2-a
gcd(b,2^18508-1)
Output: 60500502992
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:46:05 2004
Input: a=((127^109)-1)/126;
b = ((a^2)-a)/2
Output: 13410349065685962614816629544381469150397654480503721346659699616901934526869739810302037253166551227527712931979689909564743768745553458895415692609850529943580842286205362432753647175260329669288839103279407597212168041295666155559623304713379214212371824249808379292739178214699005952763962950462323996956334339096771099516176358500221551862124410326323537179599256751879436008247058395282257341494987078653462401119817163800055461329940147477584343680
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:48:47 2004
Input: a=((127^109)-1)/126;
b = ((a^2)-a)/20
Output: 1341034906568596261481662954438146915039765448050372134665969961690193452686973981030203725316655122752771293197968990956474376874555345889541569260985052994358084228620536243275364717526032966928883910327940759721216804129566615555962330471337921421237182424980837929273917821469900595276396295046232399695633433909677109951617635850022155186212441032632353717959925675187943600824705839528225734149498707865346240111981716380005546132994014747758434368
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:48:56 2004
Input: a=((127^109)-1)/126;
b = ((a^2)-a)/40
Output: 670517453284298130740831477219073457519882724025186067332984980845096726343486990515101862658327561376385646598984495478237188437277672944770784630492526497179042114310268121637682358763016483464441955163970379860608402064783307777981165235668960710618591212490418964636958910734950297638198147523116199847816716954838554975808817925011077593106220516316176858979962837593971800412352919764112867074749353932673120055990858190002773066497007373879217184
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:49:07 2004
Input: a=((127^109)-1)/126;
b = ((a^2)-a)/80
Output: 335258726642149065370415738609536728759941362012593033666492490422548363171743495257550931329163780688192823299492247739118594218638836472385392315246263248589521057155134060818841179381508241732220977581985189930304201032391653888990582617834480355309295606245209482318479455367475148819099073761558099923908358477419277487904408962505538796553110258158088429489981418796985900206176459882056433537374676966336560027995429095001386533248503686939608592
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:49:15 2004
Input: a=((127^109)-1)/126;
b = ((a^2)-a)/160
Output: 167629363321074532685207869304768364379970681006296516833246245211274181585871747628775465664581890344096411649746123869559297109319418236192696157623131624294760528577567030409420589690754120866110488790992594965152100516195826944495291308917240177654647803122604741159239727683737574409549536880779049961954179238709638743952204481252769398276555129079044214744990709398492950103088229941028216768687338483168280013997714547500693266624251843469804296
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:49:22 2004
Input: a=((127^109)-1)/126;
b = ((a^2)-a)/320
Output: 83814681660537266342603934652384182189985340503148258416623122605637090792935873814387732832290945172048205824873061934779648554659709118096348078811565812147380264288783515204710294845377060433055244395496297482576050258097913472247645654458620088827323901561302370579619863841868787204774768440389524980977089619354819371976102240626384699138277564539522107372495354699246475051544114970514108384343669241584140006998857273750346633312125921734902148
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 19:51:05 2004
Input: a=((127^109)-1)/126;
c=34178731121643890644342106550148686417484490722236991968000108871653221871778370018500658773622240524247257896851055255356737965350995089318249528401600619307932465001054124531133121860507886640393641493462978992329828864642342063822452459105744790919579980458706507868307785950444862966644941292332838342246424400346744420870727 ;
gcd(a,c)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:45:43 2004
Input: gcd(2^3345-1,245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:45:52 2004
Input: gcd(2^3344-1,245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:46:23 2004
Input: gcd(2^15373-1,245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:47:20 2004
Input: gcd(2^222-1,245969)
Output: 223
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:47:29 2004
Input: gcd(2^232-1,245969)
Output: 1103
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:49:40 2004
Input: gcd(2^(15737*2*3*5*7*13*19)-1,245969)
Output: ** WARNING: Computation used more memory than allowed. **
Errors (if any) and Timing Info: *** the PARI stack overflows !
current stack size: 64.0 Mbytes
[hint] you can increase GP stack with allocatemem()
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:49:53 2004
Input: gcd(2^(15737*2*3*5*7)-1,245969)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:50:31 2004
Input: gcd(2^(88)-1,2047)
Output: 2047
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:50:40 2004
Input: gcd(2^22-1,2047)
Output: 2047
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 20:50:47 2004
Input: gcd(3^22-1,2047)
Output: 23
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:01:28 2004
Input: powermod(3,22,2047)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: powermod(3,22,2047)
^-------------------
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:01:46 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:12:22 2004
Input: gcd(2^22-1,2047)
Output: 2047
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:12:28 2004
Input: gcd(3^22-1,2047)
Output: 23
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:18:46 2004
Input: gcd(3^23-1,8388607)
Output: 47
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:18:56 2004
Input: gcd(3^89-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:19:15 2004
Input: gcd(3^182361-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.104s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:19:26 2004
Input: gcd(3^60787-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:19:36 2004
Input: gcd(3^2047-1,8388607)
Output: 47
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:19:52 2004
Input: gcd(3^89-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:20:28 2004
Input: gcd(3^47127-1,8388607)
Output: 47
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:21:08 2004
Input: gcd(3^262144-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.142s
user 0m0.130s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:21:13 2004
Input: gcd(3^262144-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.147s
user 0m0.140s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:22:47 2004
Input: gcd(3^364722-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.203s
user 0m0.180s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:23:44 2004
Input: gcd(3^23-1,8388607)
Output: 47
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:23:49 2004
Input: gcd(3^89-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:23:55 2004
Input: gcd(3^88-1,8388607)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Wed Jul 28 21:24:09 2004
Input: gcd(3^92-1,8388607)
Output: 47
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:12:17 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
b=14157;
gcd(3^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:12:42 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=596029;
gcd(3^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.395s
user 0m0.370s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:13:00 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=596029;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m3.571s
user 0m3.550s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:13:15 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=596029;
gcd(127^b-1,a-1)
Output: 18
Errors (if any) and Timing Info:
Timing:
real 0m3.576s
user 0m3.550s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:13:23 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=596029;
gcd(3^b-1,a-1)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.393s
user 0m0.380s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:13:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=4545185;
gcd(3^b-1,a-1)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m8.591s
user 0m8.560s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:14:03 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=4545185;
gcd(3^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m8.600s
user 0m8.570s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:14:31 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=898560;
gcd(3^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.687s
user 0m0.660s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:14:45 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=30403;
gcd(3^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 00:14:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=37376;
gcd(3^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 01:13:02 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2132033915540146647126786645546180645310964091663049267935916789661297663073246720;
gcd(3^b-1,a-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.998s
user 0m20.930s
sys 0m0.070s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 01:13:12 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2132033915540146647126786645546180645310964091663049267935916789661297663073246720;
gcd(b-1,a-1)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 01:13:17 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2132033915540146647126786645546180645310964091663049267935916789661297663073246720;
gcd(b,a-1)
Output: 1683882151875655848338327490554914571439036136280961588775916753145616892160
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 01:13:41 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2132033915540146647126786645546180645310964091663049267935916789661297663073246720;
c=1683882151875655848338327490554914571439036136280961588775916753145616892160
gcd(b,a-1)
(b-1)/c
Output: 1683882151875655848338327490554914571439036136280961588775916753145616892160
1683882151875655848338327490554914571439036136280961588775916753145616892160
2132033915540146647126786645546180645310964091663049267935916789661297663073246719/1683882151875655848338327490554914571439036136280961588775916753145616892160
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 01:14:07 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2132033915540146647126786645546180645310964091663049267935916789661297663073246720;
c=1683882151875655848338327490554914571439036136280961588775916753145616892160;
gcd(b,a-1)
(a-1)/c
Output: 1683882151875655848338327490554914571439036136280961588775916753145616892160
97257554534949653048688457615535172415415807328491866161656400343342160524987223018170260457992116021221396685681337805905215449172582631919855703893861
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:00:01 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=109;
gcd(127^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:00:08 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=108;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:02:04 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=127;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:02:30 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=128;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:03:46 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=127;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:03:53 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=163;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:04:03 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=457;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:04:14 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=1231;
gcd(127^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:06:49 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=23;
base=130;
gcd(base^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:07:01 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=23;
base=130;
gcd(base^b-1,a-1)
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:09:30 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=109;
base=127;
gcd(base^b-1,a-1)
Output: 18
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:09:41 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=109;
base=127;
gcd(base^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:10:54 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2180;
base=127;
gcd(base^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:11:29 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=3674;
base=127;
gcd(base^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:11:39 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=5420;
base=127;
gcd(base^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:11:52 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=433;
base=127;
gcd(base^b-1,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Thu Jul 29 04:17:18 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=2180;
base=127;
gcd(base^b-1,a)
Output: 163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:55:45 2004
Input: 30!
Output: 265252859812191058636308480000000
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:56:00 2004
Input: 116!+1
Output: 33931086844518982011982560935885732032396635556994207701963662088123265314176330336254535971207181169698868584991941607780111073928236261199604691797570505851011072000000000000000000000000001
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:56:14 2004
Input: factor(116!+1)
Output:
[33931086844518982011982560935885732032396635556994207701963662088123265314176330336254535971207181169698868584991941607780111073928236261199604691797570505851011072000000000000000000000000001 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.689s
user 0m0.670s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:56:46 2004
Input: factor(116!-1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.996s
user 0m20.960s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:57:24 2004
Input: x mod z
Output: xmodz
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:57:35 2004
Input: mod(x,z)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(x,z)
^--------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:57:50 2004
Input: Mod(x,z)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:58:04 2004
Input: Mod(x,8191)
Output:
Errors (if any) and Timing Info: *** forbidden division t_POL % t_INT.
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:58:51 2004
Input: Mod(61^2,8191)
Output: Mod(3721, 8191)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:58:59 2004
Input: Mod(127^2,8191)
Output: Mod(7938, 8191)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (206.81.131.14)
Time: Thu Jul 29 15:59:07 2004
Input: Mod(128^2,8191)
Output: Mod(2, 8191)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.010s
sys 0m0.040s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:29:40 2004
Input: mwrank([0,1,0,0,-23])
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: mwrank([0,1,0,0,-23]
^--------------------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:32:45 2004
Input: f=Ellinit([0,1,0,0,-23])
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: f=Ellinit([0,1,0,0,-23
^--------------------
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:33:31 2004
Input: f=Ellinit([0,1,0,0,-23])
mwrank(f)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: f=Ellinit([0,1,0,0,-23
^--------------------
*** expected character: '=' instead of: mwrank(f)
^
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:33:41 2004
Input: f = Ellinit([0,1,0,0,-23])
mwrank(f)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: f=Ellinit([0,1,0,0,-23
^--------------------
*** expected character: '=' instead of: mwrank(f)
^
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:33:52 2004
Input: f = Ellinit([0,1,0,0,-23] )
mwrank(f)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: f=Ellinit([0,1,0,0,-23
^--------------------
*** expected character: '=' instead of: mwrank(f)
^
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:34:01 2004
Input: f = ellinit([0,1,0,0,-23] )
mwrank(f)
Output: [0, 1, 0, 0, -23, 4, 0, -92, -92, 16, 19808, -227056, -256/14191, [2.546587394204831147748803150, -1.773293697102415573874401575 + 2.426339674148001403248176120*I, -1.773293697102415573874401575 - 2.426339674148001403248176120*I]~, 1.434833804475561460774008186, 0.7174169022377807303870040934 + 1.253169188374286719649181207*I, -1.258862614013904064398057889 + 0.E-29*I, -0.6294313070069520321990289445 - 3.288994501766151129866273167*I, 1.798089514206629359561170248]
Errors (if any) and Timing Info: *** expected character: '=' instead of: mwrank(f)
^
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host dual.math.mun.ca. (134.153.205.224)
Time: Thu Jul 29 17:34:21 2004
Input: f = ellinit([0,1,0,0,-23] )
ellrank(f)
Output: [0, 1, 0, 0, -23, 4, 0, -92, -92, 16, 19808, -227056, -256/14191, [2.546587394204831147748803150, -1.773293697102415573874401575 + 2.426339674148001403248176120*I, -1.773293697102415573874401575 - 2.426339674148001403248176120*I]~, 1.434833804475561460774008186, 0.7174169022377807303870040934 + 1.253169188374286719649181207*I, -1.258862614013904064398057889 + 0.E-29*I, -0.6294313070069520321990289445 - 3.288994501766151129866273167*I, 1.798089514206629359561170248]
Errors (if any) and Timing Info: *** expected character: '=' instead of: ellrank(f)
^
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 195-23-150-24.net.novis.pt. (195.23.150.24)
Time: Thu Jul 29 18:37:56 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 00:56:43 2004
Input: 2 + 3
Output: 5
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 00:56:56 2004
Input: 2331235312^2
Output: 5434658079915737344
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 00:56:57 2004
Input: 2331235312^2
Output: 5434658079915737344
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 00:57:09 2004
Input: factor(15)
Output:
[3 1]
[5 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 00:57:25 2004
Input: factor(100)
Output:
[2 2]
[5 2]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 01:39:49 2004
Input: 2231^5-1
Output: 55271067351760150
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 01:40:14 2004
Input: 2*5^2*11*181*223*941*2645831
Output: 55271067351760150
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 01:40:44 2004
Input: (2231^59 - 1)/(2*5*223*709*259666907)
Output: 887374498219126851580387590550373881528083216562459324340459495037612497906616349671362941849204754771331339618632039456778857934823453966422156320288543648574719918175629822141487503
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 01:43:07 2004
Input: (2231^59 - 1)/(2*5*223*709*259666907*3357332933)
Output: 264309353861488735344433471040083435635867339988488214773205364151358204875005272428060068670349159789846597146709619893624907272436854258928557777409007308771042254621588291
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 01:44:07 2004
Input: (2231^59 - 1)/(2*5*223*709*259666907*3357332933*59353538419519)
Output: 4453135582133515765536387579760176294165613871854177401637164658894243580565510681988285060164497685625694167897860246701426196977528745280739222082743738036989
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:37:06 2004
Input: 3*2^12+1
Output: 12289
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:38:12 2004
Input: 3*2^8+1
Output: 769
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:40:06 2004
Input: 3*2^18+1
Output: 786433
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:40:19 2004
Input: 5*2^7+1
Output: 641
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:40:25 2004
Input: 5*2^13+1
Output: 40961
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:40:54 2004
Input: 5*2^15+1
Output: 163841
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:41:22 2004
Input: 7*2^6+1
Output: 449
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:41:28 2004
Input: 7*2^14+1
Output: 114689
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:41:56 2004
Input: 9*2^7+1
Output: 1153
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:42:25 2004
Input: 9*2^11+1
Output: 18433
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:43:09 2004
Input: 9*2^14+1
Output: 147457
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:43:31 2004
Input: 11*2^7+1
Output: 1409
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:44:40 2004
Input: 11*2^19+1
Output: 5767169
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:44:53 2004
Input: 13*2^8+1
Output: 3329
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:45:23 2004
Input: 13*2^10+1
Output: 13313
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:46:00 2004
Input: 15*2^9+1
Output: 7681
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:46:22 2004
Input: 15*2^10+1
Output: 15361
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:46:43 2004
Input: 15*2^12+1
Output: 61441
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 02:58:38 2004
Input: ((2231^59+1)/(2^3*3^2*31)-1)/(2*5*23*59*97*223)
Output: 556063016754934443997752960745845298368386841497408209180288655372227855966513344696691768455491786423078187702908358726817350212069521408428321512555196752157721423547663482228181477671
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host rl1-s28-nest.rusmedved.ru. (195.151.121.69)
Time: Fri Jul 30 03:09:46 2004
Input: 12345
Output: 12345
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:16:11 2004
Input: (2231^295 - 1)/(2*5^2*11*181*223*709*941*4721*19471*2645831*259666907*3357332933*59353538419519)
Output: 34430970119360571473736743547631545409403915147707425845655739370779405620195242250085630579030420782630036293526629372863318593687784690834319526999507679268608704182667327853503150934543713372039106975572487256127771853961575755606792463174638025171702610287592024565148299607403954627517660944647371678983784038516469996551499024224777213883699819961826956480010008013924689761906170287729894684580358461995263375493567110331465302521902516398076694050280919953073582353514161570370179856630620424245790067753442466942413388544448114028937863039745069477892483150256227958626121660439329596566052966929480691614648435076452563141713096433736683500958551280164607038687605992543374359954170609831873224239523114106935072937391430928198245112005750899211823740683801766554021153003692994656565266497039076689549912463848146910939486482342073598059165395922343493067707779798326705356058898558379527335979147958026720253992140099
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:21:08 2004
Input: (2231^295 - 1)/(2*5^2*11*181*223*709*941*4721*19471*2645831*259666907*3357332933*59353538419519*46039264566131)
Output: 747860993085668780394795000066592229335029981409728171158099315073183669454374819680239882606214899588555303024788300615250781986333322664094917630585664144142618713345687999017435603723028187434044041089573026841756301643120075726787918935725529629893145020445069256440780556121149495571761874106203134119713501853308199688775967969825705536002993426630718615921719497156724944974626885093110993258544244702572820837911602508322719122587477002423534641892685982202612417156950885072541957656563957976773476969673042050030261554979812658314032626059431898264929759816170782055454679827260406493016304053680516295839222451442701548921482016768755205679360945772337182619786981364879134750585525744897636694515341396514729965863721032199906441415755849486832563501749197353486065851905735240496448185173949982537436630176073406228406973248916521030327644431977101613702583649714064090159783638855109762121675168793329
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:36:39 2004
Input: 2*13*17*11261
Output: 4977362
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:36:50 2004
Input: 2231^2+1
Output: 4977362
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:37:30 2004
Input: (2231^295+1)/(2^3*3^2*31*10331*11801*27241*87991*180813761*((2231^59+1)/(2^3*3^2*31)))
Output: 333383909923919600182783890164736221838215914166411792126250199750675666493055281495990884517992593249289364167035990152997434146077647386703450597527859901343602800638035148998941123177030858283092744276133516531990057358363158891140049567099620764772738741441599972303507450712950377551088135584869360518430209511054345334053795750469553138235116574279183971543982886261301080329289035396924487518739353778342531252538306215984180111420898485844321550845010877313824293862463911861817320346743676295401763160731695151772410611224865610319976513783306965752996681587209417336861025941928514629503095053643713116293210887711280185239567656338153051573137196589996456325325289880544827569753232414485617944782953792124504384215784867011768073667066177738915501398921
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:45:09 2004
Input: (2231^295+1)/(2^3*3^2*31*10331*11801*27241*87991*180813761*((2231^59+1)/(2^3*3^2*31)))/20862329904766606481
Output: 15980185887471194795169016877317720802622092765031234740404958607697457522664706974134997638260663021048113817984970672684292015584787171749232623325657771916591669439202450059014218218007129359697820259567101672625951920702699470643696617803657070179493564868924544842016796971896125177945100487213030135904634622693940006364479531919751865931071340129670570611029392454952993920972249318273150406710360922891413915740779815103997139300927459336507803659108507362125558564190858206781598305438860482268486859499616104969090919622895069268712637921813199555830794973338046422013759434552842913177622538061596716587112103965858167615418751088569149561067850013988712601458322818180879019328616304292882991941289817325843436568947816967984434277241
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:51:24 2004
Input: 496681*3545021*5485561*63544661
Output: 613757023540342629577161121
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:51:36 2004
Input: 2231^8-2231^6+2231^4-2231^2+1
Output: 613757023540342629577161121
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:52:45 2004
Input: (2231^295+1)/(2^3*3^2*31*10331*11801*27241*87991*180813761*((2231^59+1)/(2^3*3^2*31)))/(20862329904766606481*158491610535765167876531)
Output: 100826698860916117600886609572767931374926045512892415551493554373364081345564745488973993488606764817216093532001407988881544836902130106988286297708059699643859825748484562708110477006507948002759546010352843741938448605434402312319034810920534747602879043497494672245944936382024693332441407049630492736279083990183607732505782517141898538274900807309970414342634244913006342866180539352665496737924265067584487830394406505734729803215665231355914264630053313416981287476310431974671127902538087803489093915211069408199269975846343802949543971422614113072508950419855248777938145348817678665281683962072878863732249097651774142620701726150045611800107848145785954000090847610128889400913589282953200625056863915266533411
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 03:59:32 2004
Input: (2231^118 + 1)/(2*13*17*11261*25253*125789)
Output: 8394492054186603487031525443972481826711592453469724976102104951697356400355302293682177550097660249076885899569137644581319266556620752370975269172750392680014691319462740371877527035184888088804708725806366499146119436356480777708385059489679995748685713318512215685151505220096596978101889487586100547809141465784647920375970815229338604848766627567691190873975760248822407073
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 04:01:31 2004
Input: (2231^118 + 1)/(2*13*17*11261*25253*125789*1448741635413218915235349)
Output: 5794333405619474256808737892056512992788347234701177778186715250737750605278235681742267910573445695144979132959313845256856420994805669134622853654914134315856073491302705461722131087661392862201172433723030515119416461916387805876316189898606760091259701337629727563171897848153782533165070340109700858132971209002283312169096618379950009813827091894877
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 04:17:17 2004
Input: (2231^236+1)/(2*1153)
Output: 7639048793271734217487040627279241790733367745764513527588132373634763794437739137731438867067971752254682371528348773710532047428945479459499852433144546686212029665100497052606257613349843545719553052085037117128309312524786777615824292625397044441654170476857700479059415446679580682792562566745613514351735428370350252172698859264296431303726310333376358032055500770781505002156097652652965741407372638427797365724928481183127806955258199076691590917811155109742949059846804550312934151108136538893794217101011373405625826925796711707943837897833414007797601646380427054960508633910066313913474065076226065697696088405970233502431980153820633278862134725106974037152211613303249925503264021926071653398481698705959105611208826856723809226359164202563200809512563332746019378008211697
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 04:21:07 2004
Input: (2231^236+1)/(2*1153*10743331537)
Output: 711050270296776583363019845645413389864500813437431715702262272429279475789646678361783006293904318169854723299166930820421543082175988464936437941107592450743152530255987487041121331202369980972090804059958251023889007301030737763019506136776596475769187693165547002988242179450072823605961343864800578047332341985263472389170005678872165602025422287158851368141995818478435643399254583820721360040010151129323503974531441585458334623044985442739724594409224467903800952935890444382637518813465668707659674740335752276954592034926671155558869717662089683661002488001355538448232162558278714499051027943365429223995853345689245436755805123751030460157913557751073063356790979511521513003388943252908164756982468864300404174635574858246488947235694361180468967734562740297755681
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:02:15 2004
Input: E:=ellinit([0,-1,0,0,4]);
ellap(E,103)
Output:
Errors (if any) and Timing Info: *** unexpected character: E:=ellinit([0,-1,0,0,4
^--------------------
*** bad argument for an elliptic curve related function
Timing:
real 0m0.070s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:02:58 2004
Input: E=ellinit([0,-1,0,0,4]);
ellap(E,103)
Output: -4
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:03:52 2004
Input: E=ellinit([0,-1,0,0,4]);
ellap(E,2574449)
Output: 144
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:04:55 2004
Input: E=ellinit([0,0,0,1,2]);
ellap(E,2574449)
Output: 1026
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:05:16 2004
Input: E=ellinit([0,0,0,1,2]);
ellap(E,103)
Output: -16
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:06:20 2004
Input: E=ellinit([1,-1,1,-1,-14]);
ellap(E,1523)
Output: -56
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host man003.math.klte.hu. (193.6.146.51)
Time: Fri Jul 30 09:07:12 2004
Input: E=ellinit([1,-1,1,-1,-14]);
ellap(E,186013)
Output: -546
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host it023180.massey.ac.nz. (130.123.128.114)
Time: Fri Jul 30 10:14:32 2004
Input: ?groupo
Output:
Errors (if any) and Timing Info: *** groupo: unknown identifier.
Timing:
real 0m0.072s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host it023180.massey.ac.nz. (130.123.128.114)
Time: Fri Jul 30 10:14:40 2004
Input: ?group
Output:
Errors (if any) and Timing Info: *** group: unknown identifier.
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host it023180.massey.ac.nz. (130.123.128.114)
Time: Fri Jul 30 10:14:48 2004
Input: ?ecm
Output:
Errors (if any) and Timing Info: *** ecm: unknown identifier.
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:47:40 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:47:49 2004
Input: x=4;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:48:11 2004
Input: x=4;
y=x+4;
z=x*y;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:48:19 2004
Input: x=4:
y=x+4:
z=x*y:
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:48:24 2004
Input: x=4
y=x+4
z=x*y
Output: 4
8
32
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:48:37 2004
Input: x=4
y=x+4
z=x*y
c=2^z-1
Output: 4
8
32
4294967295
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:48:49 2004
Input: z=31
c=2^z-1
Output: 31
2147483647
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host alb-24-194-121-197.nycap.rr.com. (24.194.121.197)
Time: Fri Jul 30 10:49:12 2004
Input: z=31
c=2^z-1
while b=2 to 200
y=c/b
Output: 31
2147483647
2147483647/b
Errors (if any) and Timing Info: *** unused characters: whileb=2to200
^-----
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 12:31:25 2004
Input: (2231^1180 + 1)/(2*41*1153*4890161*10743331537*(2231^16-2231^12+2231^8-2231^4+1)/(41*4890161))
Output: 181761345632348492133034917908746313972459703348980791942040129825668376475132273315462869719008608376220318606061719270968426426186785322414762964006257133698946835326413412714331436970422883969231299145085405709796997773771449664643242568542048918200598434486743706552751693428547020572163001071123983635601301299243322434561295610163425375206660410293831791937013950222217098617012689327773303987128045009073082592025532897204149151501102426469214055572887747129211098478247896701434606306941314884509093837683263680339962529142297207381784609927946195868364930201461830378059568244366316988443662554414083618525541199670432669345841947962870571616250547410973302409607781708471760779203265860282741998664736744283393765784821633744765731179493427294072952746537580400864998833952665678788960431997531963038730238833071366486084346858202642935395548132731796383240740660215408910904286627125024940927465240037003232098551424927484734950493299982295814128610200305483617200779160704775650378652675775289200953381989945719348924475396683715480837831204272068634650073910475791536258114874506284818920222939774794356277400860201295596323688053780774208516801732136327976936806587094096234659466495669726836439569850596403776124906945308625641864976691529745165898588998744933688622807735384844823351537764646476797622957528052058697306954959915343396540366440512457176759312498073687517740077648703263293230618697878561948668708269379357616084358049745876874511480248206472761673221080550665524077671287791912774806464559118305797134999811329858354875721702628815570332173851486695082946741659870878638214547503252996853189664021235350268438709488626732165633203381670563162826502502296407102347730153935502891180086978139794800053220582882739981236501018129659918308133562817958011989654109514694070359069561828510344565656296524387054382939976527203441548535463759707540201565659385956959217065946568826027760337966455775094263729696592959518654874752640134115530465915941038149810318186490160580633918854132247109259353704850482117924267483920395328975054976041096104752128878112672432155112635295597489811694415054778138654389328329074498977836031909448029571251799880057543484111765141369027480291709627642008157608252892821605278907030620658571114485370722265500105802389121326295291135832989348872963092824000928856431180253571243478409350896547653351856967719901603201968295937680762906527299374674730205894999553213516639217263508660918775925155890055802473459197055987639839060427903828497237612625042641381742571645690475693265616527277293405978733637266465463788473010321221138659636559496128349316410431123759430714288589015091934458348341350014843693313810165330654606619234044789562116200066551110791691971301176313943474137783940387553987236032506333083568972572888066524016046946085376066291933809603115167860750682793211097671069072423209791764810171531014085276297964548774547375605819995574041684834165001625836057325849079018008581944589718010770796870426352550363191374861484819967181255022301306142012052531098728828116518797388505720606159141141213306146679080395384369794641310312885648430689764253694607010152675078813552269742742821479179634429926422257863299829115759103221452054207639283448959091930936081002043198563827113387657489081274873769046255829083659347502090577485572355220071751921740993964411670395509410294575876252825557697334291716234428926868598685356401403288430251125010723134817955009413035628841645056460642986777091451903808549815685376922767151139592044878843261283114311249722620017368855077165205926033882907323211543950219270820758614074250996317485070069258934898020534866947055757486495105745430340592338854095359544076073339361354805445588221672323214787993445799647523493845746390740889386299081213154940397823234913614314276345308383064111874133589150833656529045107732882636218750266604892477619200892732341346850139934602401
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host d214.math.mtholyoke.edu. (138.110.3.214)
Time: Fri Jul 30 12:57:14 2004
Input: 2^2 mod 3
Output:
Errors (if any) and Timing Info: *** unused characters: 2^2mod3
^----
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host d214.math.mtholyoke.edu. (138.110.3.214)
Time: Fri Jul 30 12:57:23 2004
Input: 5 mod 3
Output:
Errors (if any) and Timing Info: *** unused characters: 5mod3
^----
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host d214.math.mtholyoke.edu. (138.110.3.214)
Time: Fri Jul 30 12:57:50 2004
Input: 2^254 mod 13
Output:
Errors (if any) and Timing Info: *** unused characters: 2^254mod13
^-----
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host d214.math.mtholyoke.edu. (138.110.3.214)
Time: Fri Jul 30 12:59:18 2004
Input: 2^17496 mod 2
Output:
Errors (if any) and Timing Info: *** unused characters: 2^17496mod2
^----
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 13:42:27 2004
Input: (2231^1180 + 1)/(2*41*1153*4890161*10743331537*(2231^16-2231^12+2231^8-2231^4+1)/(41*4890161))
Output: 181761345632348492133034917908746313972459703348980791942040129825668376475132273315462869719008608376220318606061719270968426426186785322414762964006257133698946835326413412714331436970422883969231299145085405709796997773771449664643242568542048918200598434486743706552751693428547020572163001071123983635601301299243322434561295610163425375206660410293831791937013950222217098617012689327773303987128045009073082592025532897204149151501102426469214055572887747129211098478247896701434606306941314884509093837683263680339962529142297207381784609927946195868364930201461830378059568244366316988443662554414083618525541199670432669345841947962870571616250547410973302409607781708471760779203265860282741998664736744283393765784821633744765731179493427294072952746537580400864998833952665678788960431997531963038730238833071366486084346858202642935395548132731796383240740660215408910904286627125024940927465240037003232098551424927484734950493299982295814128610200305483617200779160704775650378652675775289200953381989945719348924475396683715480837831204272068634650073910475791536258114874506284818920222939774794356277400860201295596323688053780774208516801732136327976936806587094096234659466495669726836439569850596403776124906945308625641864976691529745165898588998744933688622807735384844823351537764646476797622957528052058697306954959915343396540366440512457176759312498073687517740077648703263293230618697878561948668708269379357616084358049745876874511480248206472761673221080550665524077671287791912774806464559118305797134999811329858354875721702628815570332173851486695082946741659870878638214547503252996853189664021235350268438709488626732165633203381670563162826502502296407102347730153935502891180086978139794800053220582882739981236501018129659918308133562817958011989654109514694070359069561828510344565656296524387054382939976527203441548535463759707540201565659385956959217065946568826027760337966455775094263729696592959518654874752640134115530465915941038149810318186490160580633918854132247109259353704850482117924267483920395328975054976041096104752128878112672432155112635295597489811694415054778138654389328329074498977836031909448029571251799880057543484111765141369027480291709627642008157608252892821605278907030620658571114485370722265500105802389121326295291135832989348872963092824000928856431180253571243478409350896547653351856967719901603201968295937680762906527299374674730205894999553213516639217263508660918775925155890055802473459197055987639839060427903828497237612625042641381742571645690475693265616527277293405978733637266465463788473010321221138659636559496128349316410431123759430714288589015091934458348341350014843693313810165330654606619234044789562116200066551110791691971301176313943474137783940387553987236032506333083568972572888066524016046946085376066291933809603115167860750682793211097671069072423209791764810171531014085276297964548774547375605819995574041684834165001625836057325849079018008581944589718010770796870426352550363191374861484819967181255022301306142012052531098728828116518797388505720606159141141213306146679080395384369794641310312885648430689764253694607010152675078813552269742742821479179634429926422257863299829115759103221452054207639283448959091930936081002043198563827113387657489081274873769046255829083659347502090577485572355220071751921740993964411670395509410294575876252825557697334291716234428926868598685356401403288430251125010723134817955009413035628841645056460642986777091451903808549815685376922767151139592044878843261283114311249722620017368855077165205926033882907323211543950219270820758614074250996317485070069258934898020534866947055757486495105745430340592338854095359544076073339361354805445588221672323214787993445799647523493845746390740889386299081213154940397823234913614314276345308383064111874133589150833656529045107732882636218750266604892477619200892732341346850139934602401
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 13:42:56 2004
Input: (2231^1180 + 1)/(2*41*1153*4890161*10743331537*(2231^16-2231^12+2231^8-2231^4+1)/(41*4890161))
Output: 181761345632348492133034917908746313972459703348980791942040129825668376475132273315462869719008608376220318606061719270968426426186785322414762964006257133698946835326413412714331436970422883969231299145085405709796997773771449664643242568542048918200598434486743706552751693428547020572163001071123983635601301299243322434561295610163425375206660410293831791937013950222217098617012689327773303987128045009073082592025532897204149151501102426469214055572887747129211098478247896701434606306941314884509093837683263680339962529142297207381784609927946195868364930201461830378059568244366316988443662554414083618525541199670432669345841947962870571616250547410973302409607781708471760779203265860282741998664736744283393765784821633744765731179493427294072952746537580400864998833952665678788960431997531963038730238833071366486084346858202642935395548132731796383240740660215408910904286627125024940927465240037003232098551424927484734950493299982295814128610200305483617200779160704775650378652675775289200953381989945719348924475396683715480837831204272068634650073910475791536258114874506284818920222939774794356277400860201295596323688053780774208516801732136327976936806587094096234659466495669726836439569850596403776124906945308625641864976691529745165898588998744933688622807735384844823351537764646476797622957528052058697306954959915343396540366440512457176759312498073687517740077648703263293230618697878561948668708269379357616084358049745876874511480248206472761673221080550665524077671287791912774806464559118305797134999811329858354875721702628815570332173851486695082946741659870878638214547503252996853189664021235350268438709488626732165633203381670563162826502502296407102347730153935502891180086978139794800053220582882739981236501018129659918308133562817958011989654109514694070359069561828510344565656296524387054382939976527203441548535463759707540201565659385956959217065946568826027760337966455775094263729696592959518654874752640134115530465915941038149810318186490160580633918854132247109259353704850482117924267483920395328975054976041096104752128878112672432155112635295597489811694415054778138654389328329074498977836031909448029571251799880057543484111765141369027480291709627642008157608252892821605278907030620658571114485370722265500105802389121326295291135832989348872963092824000928856431180253571243478409350896547653351856967719901603201968295937680762906527299374674730205894999553213516639217263508660918775925155890055802473459197055987639839060427903828497237612625042641381742571645690475693265616527277293405978733637266465463788473010321221138659636559496128349316410431123759430714288589015091934458348341350014843693313810165330654606619234044789562116200066551110791691971301176313943474137783940387553987236032506333083568972572888066524016046946085376066291933809603115167860750682793211097671069072423209791764810171531014085276297964548774547375605819995574041684834165001625836057325849079018008581944589718010770796870426352550363191374861484819967181255022301306142012052531098728828116518797388505720606159141141213306146679080395384369794641310312885648430689764253694607010152675078813552269742742821479179634429926422257863299829115759103221452054207639283448959091930936081002043198563827113387657489081274873769046255829083659347502090577485572355220071751921740993964411670395509410294575876252825557697334291716234428926868598685356401403288430251125010723134817955009413035628841645056460642986777091451903808549815685376922767151139592044878843261283114311249722620017368855077165205926033882907323211543950219270820758614074250996317485070069258934898020534866947055757486495105745430340592338854095359544076073339361354805445588221672323214787993445799647523493845746390740889386299081213154940397823234913614314276345308383064111874133589150833656529045107732882636218750266604892477619200892732341346850139934602401
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 14:31:44 2004
Input: (2231^1180 + 1)/(2*41*1153*4890161*198241*10743331537*(2231^16-2231^12+2231^8-2231^4+1)/(41*4890161))
Output: 916870605133895067786355586930787848994202527978474644205992351862976763006301790827643472939546352047358107586532146584048841693629397160096866763213750605066292216677747855964868200677069243845780131986246062670169126334973338838299053013968093977535416157539276469311351806278958543248687209361958341794085488366399092188605261324163141707349440379607809645517395242266822194283789374184822029686735059897160943457839361671925329026291748056503014288532078364865043550417158391560951600864308164731357760693717564380425656292806721149418054841974900226836854788875468900873480098689808450262275021586927444971148961111326277961399720279674086448394885757290234121143495955470723819891966171782238497579535700204717458879771700272621535056721331244768100205035979340302283578240387536779924235813971539505141369539263176469479493882991927214528758168757884576768886056165048647408479005993336519392696088296754976175960328211255415050118256566413082127958445529963446598840699757894560915141936712260779561005957344574126184414300758590379794481621885846361926392995951774817198551837785858045605703275002521145253895010922066048881531509898460834078302680737770329936475333493546220179778484247303669959491577678665885342209265214101147804263379883726096851300129633854418049862580068627805667604268363489272136555795864892018791808732602818505740691211406885846907346676510276317803784674455351129651437486180348979013769645377996265233147320936364712014726924542382618941960649313465254534015018526903681755068147149773789464010975586936397389418544613015549610485085585154912873455751634984078158476538673901951933200821329772096934734537702224727304811837014898851210529116087471345999806952920614317377233200892548941944669470911076618768249257308678123689388842685508840310478932761208297326784416754498364841610243574862854073491053699926874065145633162462394460286044054388128385233457995918230980273192560851564985364933069309373533501519628331849191289722690770517450024556910478460967377680974834908567144807102720840380770211429121096690266165808491160278409253777536798301840248159036715360655436640527328547850289941682469816929071342000131302663181682296081756468701051454386466373210938340918418276785593761238115621425591177700733523768396659951776402471684068009621073016343689493459794355476419756036496891427965171071621667044393709433754711285261894370832955532310485250413887009623287846081282646947486338432834321159188946409450568024790398853905377735381878927305168095889536536967845407265613932767139369218605719943287682194796906983250011167157515399545104890812882095510657983547351108619102157042632901443656632373466343238859992097062717426418624838551228276640867006320925293510382271938202371426412670122648394567995456217596291045160027302994274981078667111980293562211106349390908617126935148040986532037626268392629222974888192510787446014075281927294427224315887329036748410696244293570078016441229862031658479234591178000568857082391767356653584230178729348721844528906847227900091363807341058251462192577707883362778669191242685485374603029042404872704408479125472962951310222225743890552459645961626573475061882974871389771209941063767121146986895323162732338174515905586046523973809307540221256163954801615777703186974850181717046656624154860293014573627945205948089547932828838338153885481158768919700236459038507803923998235943706067003933942013434942324762730364814165640423196099469884701124534489056534524356650627728128408394579404287594003092958265908893109110937107431415548360934505822988570301834262508173926297847286637069379294689867758188247221740558558819491921552730600365493301014901588195329627031435747879397017146167237662011417646138899987001754369648285670711525334546064591789233237822051004358030870623306549171535032335936476632542582682639569179213830868022926047771241823167785132629573099877080630882865501761
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 14:32:02 2004
Input: (2231^1180 + 1)/(2*41*1153*4890161*198241*10743331537*(2231^16-2231^12+2231^8-2231^4+1)/(41*4890161))
Output: 916870605133895067786355586930787848994202527978474644205992351862976763006301790827643472939546352047358107586532146584048841693629397160096866763213750605066292216677747855964868200677069243845780131986246062670169126334973338838299053013968093977535416157539276469311351806278958543248687209361958341794085488366399092188605261324163141707349440379607809645517395242266822194283789374184822029686735059897160943457839361671925329026291748056503014288532078364865043550417158391560951600864308164731357760693717564380425656292806721149418054841974900226836854788875468900873480098689808450262275021586927444971148961111326277961399720279674086448394885757290234121143495955470723819891966171782238497579535700204717458879771700272621535056721331244768100205035979340302283578240387536779924235813971539505141369539263176469479493882991927214528758168757884576768886056165048647408479005993336519392696088296754976175960328211255415050118256566413082127958445529963446598840699757894560915141936712260779561005957344574126184414300758590379794481621885846361926392995951774817198551837785858045605703275002521145253895010922066048881531509898460834078302680737770329936475333493546220179778484247303669959491577678665885342209265214101147804263379883726096851300129633854418049862580068627805667604268363489272136555795864892018791808732602818505740691211406885846907346676510276317803784674455351129651437486180348979013769645377996265233147320936364712014726924542382618941960649313465254534015018526903681755068147149773789464010975586936397389418544613015549610485085585154912873455751634984078158476538673901951933200821329772096934734537702224727304811837014898851210529116087471345999806952920614317377233200892548941944669470911076618768249257308678123689388842685508840310478932761208297326784416754498364841610243574862854073491053699926874065145633162462394460286044054388128385233457995918230980273192560851564985364933069309373533501519628331849191289722690770517450024556910478460967377680974834908567144807102720840380770211429121096690266165808491160278409253777536798301840248159036715360655436640527328547850289941682469816929071342000131302663181682296081756468701051454386466373210938340918418276785593761238115621425591177700733523768396659951776402471684068009621073016343689493459794355476419756036496891427965171071621667044393709433754711285261894370832955532310485250413887009623287846081282646947486338432834321159188946409450568024790398853905377735381878927305168095889536536967845407265613932767139369218605719943287682194796906983250011167157515399545104890812882095510657983547351108619102157042632901443656632373466343238859992097062717426418624838551228276640867006320925293510382271938202371426412670122648394567995456217596291045160027302994274981078667111980293562211106349390908617126935148040986532037626268392629222974888192510787446014075281927294427224315887329036748410696244293570078016441229862031658479234591178000568857082391767356653584230178729348721844528906847227900091363807341058251462192577707883362778669191242685485374603029042404872704408479125472962951310222225743890552459645961626573475061882974871389771209941063767121146986895323162732338174515905586046523973809307540221256163954801615777703186974850181717046656624154860293014573627945205948089547932828838338153885481158768919700236459038507803923998235943706067003933942013434942324762730364814165640423196099469884701124534489056534524356650627728128408394579404287594003092958265908893109110937107431415548360934505822988570301834262508173926297847286637069379294689867758188247221740558558819491921552730600365493301014901588195329627031435747879397017146167237662011417646138899987001754369648285670711525334546064591789233237822051004358030870623306549171535032335936476632542582682639569179213830868022926047771241823167785132629573099877080630882865501761
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 14:59:56 2004
Input: (2231^8+1)/(2*8849)
Output: 34679463603235908986129
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 15:03:24 2004
Input: 2*8849*33111732097*1047346707857
Output: 613757146850069117236511042
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 15:03:35 2004
Input: 2231^8+1
Output: 613757146850069117236511042
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 15:06:09 2004
Input: (2231^32-2231^24+2231^16-2231^8+1)/4751441
Output: 29864889225582574240708976091192674003671261945130092960679628186461286053643306095418196890322715441
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 15:06:58 2004
Input: (2231^32-2231^24+2231^16-2231^8+1)/4751442
Output: 141901259126891292132848498067712610160677784527830874027184573229907799468009003957319932850751853377700481/4751442
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 15:09:33 2004
Input: (2231^1180 + 1)/(2*41*1153*4890161*10743331537*(2231^16-2231^12+2231^8-2231^4+1)/(41*4890161))/(198241*2547821997121)
Output: 359864467050659295831970875371604452426053211924962513604937640279262927068806124548236221177899567873474270767056949866358717508081861631567882842874300210023071675075484554457567378317796818624973476486012249471665757091311344946461885922498456936319913116852082418916430225635606083491545768791586935878983805290162918610085125257022750145935602271177660207125097035263835761999218364933096465266851366932394032572213357702118745285460136435489899642246396896993753965882301063157511145478288025051730059956169782266672655875707681861441054720880696048724117584804669803277514858701186240036780515535550972241389002133698984899384296785647300672603291907250628781020831210355235520575883729522787602460313635602471607427554773471832697842364053820453003056775620565627934442313164261945898946612524189995454357696956958641152552184128296620656436807448780230885016433990683399730301612050164752673114688248493090821639791432351386628994450425221269343843675096176022972064559413675063433439402099963348384149456807634290124503761262378890075079988481142579333879086472293867920241635219506587745400872243638000002876501156810599685531103190530924124150435662773707978658178932477668112757363247484368511222163331062567782340523733392488028088442958963665487681840635998290791468815033886403426206078692913622966382312573290715242396329800777895487648184416268079105126840200742630663257758247974236680331402108555105374040962732035517763280785147804710240847549524960030184338064517134455342188392853607538038608760409058564798361339073694587998135373452167101853769286795606871107168371084213033135723712673668145074770298317557421904270531993451500502766169285908769366408039138275786408510069381108573175616186321158990841309245914041851336072828990891749248639107744709336644199285884123004427771856315729096920661770566958010228251096484394035707249588850254829717370247533264518099577602204785949618086326875002296101727885050911702071446243062515977555839152842714851541512952827353815202682650100108350663961904977768134827222887468863911887535851457718347916448000460389537270382988278015237568818114295721867385254364764818651371580105926073036602960275114281419114241460620622457767122376229534967349802284694080675867419188394431614186977106580038574759278131838107117052519134514849185589905872855230374801185145775716359211871577062829342001772646169302778095273395735103390885146823195639645087579831265327727192602686101565306458934716735822926358783349215397560846109690097677815533326660483289147022563672586754503251399100152389061769478045202662689660416341124868039019749880426700879926393186779605538291575018264659426740730252280348622632266462093785896034558467177116256162808322868016503432719285630717230638936925501101491381222389153396280587863236163059796006377656286790632766346951491481744124638213470707708077108951953166134667711407035415800212983487899706763651127551920167355754996271634640207391787581358750699996481089844752857438798803025861044508459647686760366391015519164067886625187625608133784981209391725271474006523146573922948145260230155433506354043646010692508415032901619803218679742708951234715036014179742570161765147078363001648307447328989181033186136276446679895166852600270187592516990935972840570437331513924753956613134981937320828366806868797735895528264718675092796494838854471607813363813458390037793340019338372925062704377805420019933326177320417293730058294789945182748785714081600129587264504235171309495503523967467994037822623833533200955896064426579323450571824373923794889450063524545634197940330267384173705656724043651360561645989247105026385020980152096876214738675434869799344937434306565667760785370269406082142723375741241180019949481135542524909806204578419000530846165999962758886579852696840652559613376073785133478308132187683708574443280517181000343326708777773871056863685089691363841
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Fri Jul 30 15:18:27 2004
Input: (2231^472+1)/(2*8849*168977*33111732097*1047346707857)
Output: 2992078726034666586133825914560578840832725607767432512727806091296194352812432948820950122145853537677146536089674328445387481433924707505110028919336070072681098595682038314384229819731756909916779655818428801034873891023857620017986040746628367888419227411882449110379063258827834365579702247126007087132865321061743713263186074942062859145316351896035257991751404963017344954273513364016272733762410030753503973839352851151365389468127929667585549632416913951528937480036163202936133494469100337615259279079785923554412883529366583611740473228592554724150961808212146209968715514284535368549959563557408087783119909185326751472413687608816658208855671874066816444126256958371451369914905874286202622279861722411797593566927423186439331899953310662921538563400159829873331290271597332229617243410194452582765111480043368685607017056538026409481910362302108082035625648328876610759104471816438432588144685735057942153072799148566464856331386321196172981062461122950774565987250645412431113621997382412520701724045149778242674991795027899200232624778429275564782087669637068205170091907826083830032463128986917474149964287738021024918104465618615092410571027799320899477528727371355921722362096710136184406894231636508536926157841359340885716225733554769373543154392472416849274814573059527989267328023060614038046394893237996942433961624251577438668584342858009303108104050914294345407458665820536131154871530318083222342255767156076096686319163194621591224011564330846501151952663238783365511995283251344928697520599625312491051764745034073279793
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 16:20:59 2004
Input: y=Mod(1,3)*x
a=y^3+3*y^2+2
a^2
Output: Mod(1, 3)*x
Mod(1, 3)*x^3 + 2
Mod(1, 3)*x^6 + Mod(1, 3)*x^3 + Mod(1, 3)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 16:22:26 2004
Input: y=Mod(1,3)*x
a=3*y^2+2
a^2
Output: Mod(1, 3)*x
2
4
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (138.110.111.116)
Time: Fri Jul 30 16:23:58 2004
Input: y=Mod(1,3)*x
a=3*y^2+2
Mod(a, 3)^2
Output: Mod(1, 3)*x
2
Errors (if any) and Timing Info: *** forbidden division t_POL % t_INT.
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 17:17:53 2004
Input: (2231^2360 + 1)/(2*8849*168977*4751441*33111732097*1047346707857*5292421216652081*(2231^32-2231^24+2231^16-2231^8+1)/(4751441*5292421216652081))
Output: 195512920492623553960061468276981826203746528599142030363159223595505942490752376162845322308543587592259445497286758145214596915153915415874531225564249057567923541446331673878902940512773599826069907439574535707513591109271036917374508458365877227758828079990321492264547710435601793917120491710123497408510785128610854710220671577194537877822083945594673509968611683774570323109768814346821482057430308548342363532457092683290718325706139464898453878322501676549163064732681930397071559854537405476836100958572851193273353246063781642330641309566320518338679842188197386038467815287865210610649926447698928869932693165576053945939880923619585282053042004947341526928726165213549298305821366612349527853681427398506844264907287748856003092998744973579449659777769052148481901472527415405130178041849209065809062296623343490798369341586060497550461354416096792718696758575831204424585240906993727661475362647151732728344552144275957847731163623469876074213196910932262138296588538495570793054239495026080997789623571196637600345774499406219704674739268838632137771180179952591391245755158588142684461137221396991947444239302652560938103067974988800427014141040863128109406971076899824439357164824545092171809847928117989781271644646375202307870119594154397246408481679664595354108641837799072623588717650203864830264533049150012833262969368358789617815715878761948985019635635879877526966119020810918196341502501338004148800940008949056982293320756968906081895409730707820503973904221840435563034695396232710266541118544820896621185975946839588547622162561625478943452981765121185108210929868664428589473723259640501949869587556576616236346016857825847442987699661742145039913941360032346646556096871779485002976114351965462794356712606605453693747102354375011038530184637826969911642562664300742919435311739251908940814100572466526713222317821139461541054337201451729824764540567901451175672271479860230693031953374531754355041094053773033217290963245237862308917368541139374260889100261252698149571793794164873107005194026385435153438927934884877626421332499517557590469352823093485643579752499707273905723386394752760498804040684242988306364998223391701520333824342550251177267480397558836305604203864632158011106242644237798434254752572075314762892310506033869696960040619164240628016215444098741011932307298794367314795546752372536551016062425970427429398624836274341613243381914405629353595102235532806710608048486737693846458553343404451016559181441150241621422892763652803341653267948700870995699853896334193416480178130246361390108413430452661796665629341794170063180657269041396786385146703601853658086636846767053666321325270445202950057354837588393243885878044287702146021325715774543287208222712723218421395865832928005396262784304477319253159586487343077848748758455014265191696377409067691902776383461613728642756000982099184511888278751789878284066764103362021043074352266303870923754209520615802626297834027531894340126052650184442616907296435000256917235951982659417345974281060340926908433996327974325920139663788004313225345636932421903723102443551918070258228489442305215292799367749185089585309992566013350818519474979784213303606170334889223151625298851919410633811154196486545946874070028204220026382719230258631732432855426715644262134001992856881879462209766344130354570892632112797462773766348190755767546177933739581059886082083567713774609655593805965589351127096236581630900185483191974483633370520517765617801261830892389931664397214016967591068653714319294316147785681772476884844970084299887398368762194454941931977838055285486603814580943679331473097943951908088442611940167300665609239895048142657426166312811964172744322664419064157008203436222449720289671437003572547299530626338256106826723343959945256305322856813904704288820825363910205707068591380969747359875998110965245409065727334473373378000833229876519914855831347317957354077939794745437084521104345290618595243259737527972533548435344642921817868918236792732057009379307595207744597217716981751780583859201990242386226875202040197140987884067821767799750991628501499193030996943854714680398923170201196956843645858624974598093275864285859300787836981996776018626944205188997537886477562113511635856424975856524555808830929089909942403540067882136515336350817576128826318930270461578182895323899311445900691970678876906858771920352567413001488482421055310800982641362543336913527703104805448799597532155590111043749488283738899083001393553581979297125728330619331628208356613808632100828692469805442973266798511731976799618093323388312249948641483506146242153459850908373217321202920193903480672677148255018005764057945083472328579706897858803761467981018771697064206107932775883770470092622925251595954100923578484151587651246824875829488906829736788387492806524063840166451924213564744635793670041738258516012809099957562796306222637421137380601829537118765224423975450501785230779097106375197171822979064079926821979633550776016954043167642929490748864868227628730399662985906930068951539611640769661280806593825472222645600916667799824506367118917363240482567191838209911803287295097144700761828881508892806932336652703284040502828030847213489013774812204343814458626409827284693483267736522370548555799450826141293603506565673565452263660286439576000908039616395134839250193641066311137959189935220931302346319763103098968440250229630396960582566000830914417894271474340464191571122138732930738645910622265578358285173971888808981750735330763135709546027648032547955119318418901127932643329270177184789557720992617918319803119900331537560373571279976324071011493176546647460057132596507038198717363618702274969212527795785875563721824291194115380544011100730628205216737973869599101040217981926753811795686805593021699186260385830815281196303958119749127894484915467428728887989322744855017663842487266770592034766167739981698994146770060849896542346264557115600244937103381411651355613068101043193615482533821600091821821348783682899368733028312855504876761865591271014764191984881368903238145189952419120304142500330709269437308412902973854111590841250353007294821028220944638052200525072985993604152621205123974633942188222413409715495185597255450816534229378799028507963674549677531146781349079034659744921023716838208099528150681025385059602201678145682723352359642902787205433874084049001152966994734440722661174477631017681973485740991198146062044406506002966763654034873275358489465852876888439696571342184225717831475192543980168650846047555540400906169528058135683487595358027744947289290496248952509388232041130034766800310721054910982103601394249809274012998222005451972635912177272203786719642015438903121707089029760362795253228024077983145808250574520140563650139309565422454196767449297756941822388573507199615314834968695914518815473510823073050527344855492404111454016060708869606096164528096518432936057449124371713939530724404999558754213780931449235560514213415880654800229396202848928803961793301194850911855745654139938391347367961977544332865336417544790330419942980770070425072602599123393184335000199082826420525290906926150981123436087860930324924875026088502317653884561934094173575218049380904446759888989141053587760084513059584082380206203906498961655252795224725764397141643924536729314787715454233673331609389950362228422853944734947655629346238317677417198299909047274841918154975645662905861014523575694201832751253443669989686290589905583826760856470013407011327609240290060682915487267567972351421365373591867305310434448439251759262117947256691639134033612606497747428002208827054647380674492962727817529309864741684786231379757171741969020184048510766160533711465696806900600593806524288378177186124079310140304157963053115671613681734813759867370592032121909724910222176686474781147311287306797408142328237939120416075313
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host tide001.microsoft.com. (131.107.76.143)
Time: Fri Jul 30 17:40:50 2004
Input: x
Output: x
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 18:05:20 2004
Input: (2231^59 - 1)/(2*5*223*709*259666907*3357332933*59353538419519)
Output: 4453135582133515765536387579760176294165613871854177401637164658894243580565510681988285060164497685625694167897860246701426196977528745280739222082743738036989
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 18:46:24 2004
Input: (2231^59+1)/(2^3*3^2*31)
Output: 163222661996330643021625900568133161837019233177601029720608640382119886410226092659450274961762280231835890055195857302400497410073832844638125717198765425036184230570146534199935658385314011571
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 18:51:38 2004
Input: (2231^16-2231^12+2231^8-2231^4+1)/(41*4890161)
Output: 1878824047044678338579426144223282103202441641
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 20:27:33 2004
Input: 57993871231 x 2732902756301
Output:
Errors (if any) and Timing Info: *** unused characters: 57993871231x2732902756301
^--------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 20:27:40 2004
Input: 57993871231 * 2732902756301
Output: 158491610535765167876531
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 20:34:23 2004
Input: 165105376981*8774648420929
Output: 1448741635413218915235349
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 20:34:26 2004
Input: 165105376981*8774648420929
Output: 1448741635413218915235349
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 20:38:38 2004
Input: (2231^59 - 1)/(2*5*223*709*259666907*3357332933*59353538419519*3171594949246999313)
Output: 1404068190735005451359636488128071856652539859763273187307160085592018868940146247873543293002704545982762705521681970806906289969544542871853
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 21:40:41 2004
Input: (2231^4721 + 2229)/2230/(2*67162747)
Output: 6166063608181991123530942252851242460696821245069411805807630052625511522336586328075803523073186302018616792249712165806085412171422159455916876229300263477586923706729388677616710545628422811915012370731043218025784763191085342575334801893947659906215037994545589079536467261909896006836014601901435029436846489691644037227126998340580496534179734155842624925687473672881649164485898209275885996026196563940988624838335997147075433662364640734708965997134602155719037030612979373880733297155049349402506858728823854194063644502049089528185550392195471204275948605222796537186646351280685256745531140711922319685469205444863043326381430246179346881598922220053559499313976682406363507370399139425589956340101962159571396853470298409038981917818680131154658384320796982336752222964341109595487550221523876632834895332513695788710909219730416395784731933653926673223302280678775558187422251777677193106991415271591516768969222104836347022414878092890066460092347561036709727640704164036464272407534324259672998943513032664445189218272513924253421491207272047300795219756065729440257797553086852611090089789130967190510802028319012897665784934182969459961938177769740485795238886676979754441704298766413876188341342088817998082214705352385784782309658599996918879163601585321224531105415498948584622731323633369620038267176981681277490742641629987388266040291066715727327616623460008873854844894016001168516135168661314945953171867395079052377623921924703766555574736952996714428979317309495437547631463175889954540396180957982678022906307858626074708846530425442479517523236388917125113724365549543681489185985716326107226090891158178010831734509363067187067978755995314504354896322809529322269206708056523045746629058520910232713413081644415372457261416316183877983903200236972890941021434094156566452628383264438035738891977148821898114531901867035732267820110339482899004222261967352747199892511305547964651064637472873850016103317300427698026682532839314099403623893237217806031881784490038602951142713195183305184536321480898404464047949377118560238705528493564787111312689551310467974438912629428191516952869254399489040106981545729626940416314330452658962798075324719512823844182368241632609849008782831608116443312398575506946896564653352360152024185209986036989943956181820188129676525273428687807485037142891129835281440494369486401954783106704703017267674790596750023276140236896728795812442505563532838255953042471844878351913602776964480511298681361889352495966007395805426382588632331417552931678284783386845776892726347800357911128458664036558185350342590896090902521959049734095814356834366365661039886349502140476567700734359697456193210401359799511567028040723054163717944001413385308339460831984550675737784590498232195854933784503983472682943963501467600686940416012236241794117059942474357583097680041931794887997385616002536739578309806444702988628391071591610780740915113347873470183704334215754569488338308518376764962792072057707210384931430222693363688202453453969973658404558826002061058386031757850757941207922097508793622682846840265295618645162149457449264895616174833372978894079577749042336266476398782195530312953286494261542296251742897545622211196301502736653557424346840272614244932818229805482034561593358997113467479257972539961763032074471336357088227327328322396651317903221975073382036719382102434045889474331014189016609437317873022989724497904723272330742011057644655922408448346778108759273949698202141457512290038278832692468633508037546594031327475468980066177417271875235137654489121140927504351643655007553690125059919063463240317874133462864139785224103442592601251122682020836674524360713232210407035079677703393053886922541120238343051415730404416765453737743645620895886828004348496701974733086428953836118515982203741078622196140499453584437068953529595029703602224319670133472723181718761671968051777917989733700450667230065038470357263841621570013459721000421337874198168067873536689573693324745381218831268170227133577295186819212340927729918890739024376047889771793577718527186776705999545291278091406386265757794788423624274498580758109981403743217965353294229918842779625045973070322958509774188374770987993931843838606214956448474252240473454124244957937770988704088687773731169962315701910301825349126729836080229559992140576652306107324577068562850713435477630065268180706032985147807349651681822016416639857043148587126164170023443578773029138535939311317540749307759727577896304536056381300376327221383166925902348758497418991389803794336437175323329035411040316821385543020506061714999160297629647355387323733399260388463391349128101494557027920978989776934823133201802423054303140358401904166201628238556376597584594879133867949628742666037908956733185414030108842421024451712050635774581687367003931076922753766369140622788127994514585519918565400768481841158512259767973747688565771423207577545611923791087218247410728260306181776034438527003143001762674414603314358940170039175557530296464341442205522342965937738972069197307010828758704618451982226130269035578467280802516277625947487405663918184127950903064892558365712878000735265633669081079915478575310526467994313824732043800024974592483595890768438079062925764512927482339653040503300054143151716990701194187331084198666266216796127809355862878067097773150210881834730629708093462306218726629307266707263852464045489421000296641368334781885317024892642041742446665084927478593000356494277367505593227098287237233332652685913825275557734899040895229873633028677290649398559152292837680786017923465478398082838026183372607308071838028621307736066590452875960168667403654648908960202598917547974341326982612686836338171846884252379731466967302991697918075995340277648724282029378473560141010392737926902509118692065115205925496667832289887073060033036163838951309149688714437673204135950795999852587121672997002546928747897861410653660467031230248139456588413064217579309102051260127904544349799762130617907274566204870631752007738412391607280689739645736093739580372634840689261783041403277541932731322502260321173549336696765356431582002847044777957180770242770521974490011794785764149921080374374867304628197494849842490379117326802088177736804322737101422467166612586141411772651445318735793719532630586516560315639196873087583655059124567412162999185071711505129813747961418316053529583353764623858590107415705920059087641108784038842318974408497949208808577599705574958950111986923548362868488548946611762800932536372703075836248544975016003693748355674484655961605396875571037698108994711266030164104074205010377624534296413090768087468467882199022888616613988926275391649307961721180216162830291319592146968765160846868403058833830952482858065378841280116083490549732135844742147417875933346249197445317918772696406146335560974295792156415006777588452284763328453585210163040638673220383500476349279260309047079034802768840061012630347125316763572291358383584660582572048866323243003027184528854077619487510825416597706967555199942843004172534599901916933275372845052229413702851887473763975394643326825419432628498547252070862791142792665270018866612190885748786401972327996031591815028628510791903910111936098532458534993532628819309480569783771545454955966459904030265451509584112249346938933058014293149529871003431972797189333622609647026628288576407264938738414800687198866030659906470401079522575222577550377552089455119186381004821821102361806854936348832975254963241688757067898919468051187324034347812062531506187913129064233601886915731840715620163047140766353073627979862531386764482755911859368048976153973582338042968937284345987090139062916169275885124741358356189452004541513814038258842479458866081172563612628875811925586323354294509088056134235825957112783694241931167862765820179975226627354387910518126661957471432075108091981167911993805125845021637736531585634599344355239793226982299696527041668980388400524054031326833423253349366889509027887773634851647218653216971035342467895498050940233698781935421282192432773632020455528689563317092912563977180200960099676702747379517923421220484115255324047320033795448956386929774000773656914486051960747818152376279029808726230201761784841565689631253570798814574023193575672875145996478164971481398570848345456628366058868746002998409911932066327226058764911016546729836042739606596788910278379350955887601033874581048292143468552043885644613758387641437127870068878519340246404493405289500569969161713286781470073994573485421401721012776963742656736212120509580600060102417372223820636700583710779929678755353126191704209201726003528374681689315742232932527998530409951721047484741247226548806943622038649582070943144090965501388979970127242357378274079944301448616671971170574697774875381839042427307501305287746942264900948483209562934246728253456808395607198837840779319263786229610584670638337781671792293369170366046965041158084722550670504601504813749311180078972189945658221388690280249652789115974447821278155545000380190980993966103379494172313881421150721927137550621308832520352160522524288269156921560866597588182390066859463942916210179000662216941348580202068660819420248825045448848360058703898074454375280091640595362021492946635599604673182491231741659046662013567921178715237954110506495409685673815917832266646075372207062222782237404099688773049989371422447059970082735133086412460209135089387855875651867232082691105966579009019363299601932694110659199727279229511221775645398759152978642218553603053077708300206543260154594727777773109883124198414226124476018583305898632046956475545767630246312166227247120151741245694450148183282963425144891085589355895347903184196478013329141596410836371792651200914177910085793373824133415884984626915445065904757104250383434001550878127278503506355012426453405021100824360381222637274242556632514255582031725480157428360368919820614512122324941066853875256940186157190703509025536516800581419571989748738787972151221848930246141583904566740473870456217008452319173722916347115263982197475509732476101969226877319949400772412213904899174760
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.145s
user 0m0.100s
sys 0m0.040s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Jul 30 22:52:38 2004
Input: (2231^4721 + 2229)/2230/(2*67162747*296319931)
Output: 2080880481907911595568960311633996182557433588586186531545740017273934746676417904564038091340263676701050795077875529677443604754154103611719886715720200231008734848392425104073310055417238475232707978300333506093380118663393365387674446338186971265937233899580514238016769537486797000784943690440261012829692677571406439490270736577817472741710288180325819840207601044859061189672691375348587670947519410680811958220365540361534247813510944943730081388664538449733587792517736302348401025091710536812492325644076859006174527120164957627566925422979891016603924831915135852669541270675000682537797682165335790283195363407688915574963950111806467342083351868779140441725459460371689782612158862653619461169522870251873606454595961150193093800976445331027921434120743292943312754404070480697934405978760799803518749919158727054614125574877518581692951303249974998550908234613072840580346332416524892180469431626450910846415262598328678411583079807375517531452296255102971702447077096557660939927640008886095818827493258516061543365529642325764925171775661640289999669227806930557181385666928645650599213250063481956774214431198356649747527423048356966565957447448832082036101340303356021786365865064410357259546386060955851829695082290089283525889339721801203739873846550443893202413514161809312996475867711163046956253231910235993369863008516287548766350209182086954295226473800714024145356896028705260638082143945057460867582298200210856683016682372507628099972369713124938068704975943550498986729132025847412383609181171813474140862400463580721712859244161150428830763745145755020141970931259950813598558102295294509644743029843030710894615627243469892367104646766171967134703579155979663841514159928892210003460434971858248952350451797457853909010736208690558173727166613363206723013658535900700669584181046680263886431580314056531727031180318085229396135392033242238776109279658057407957446004975462809705859656626632330720981207740773838809608298956884577367029655942116767714785201029909325590097654684990900994957481102038460067017209644638638984667396029315620727285026787924862190400183587187792479930372707328785467389630819578459924930366675352883692051776066564861890388393202022456130313086763924633917535338653468945005557714122629287515602244524681006688660424999160852305164894653484745785623524980805671770786636857839132799323844033530334149972407624040905308956804608899807281546796292134508103086711721214542560875499664846022281407489488569666733789825972723989810318425267293754044823828703167248930608347342773848161401984282543598647836263954378045562821935848469718392251635896326651635539118139677934953544417751082595067219157256539655279403742855462211269115726137710725002949417139269160627517082065768377961675123967447192565890191154067684903951648266282917108871126545970501848417040053928040296043399586785136817792920689430926164392441219578844870472361481183440162676800739513608942683470163979121059111262681845068905341498925845194899618037573872630919981436687280689870996581187119592657693329851619767523769308208581771121327514970689619071708431551847308857996790939479389170430907081466753845253672900238791731583368347994027744811273667310722174384096207630510969669675795426942857180093644987246355358092151917806019109785012413516818528267370657334328389269451914762771045283950891821509671731816746904659279968925414415447428348311043747477358609512750598965833538859189477992547895389214959589809752438661404128863283480066898877631537580923413307446059059111152827541403260401842197088297615846719286326897022031589201154161729444339717216950937999922827817678116714708158467017419265112043115388821764770078089479932379885219776268894666898302701216802542295996837830289548369260503268915102012860022214920169685103700885067573195452890225458522082658533554744146995034336610362356193712031730215261170460355564045302254969555208568967423680940861710045909710002065753003363843273800416985644375478997186057940621000693717621476898501036820546414719194416599798697945084157561348287161546587293024609700685778840258220023272219115181455202471044710591452998808019192684652333689840473799607601473999322100400587292251337573319901392308453417617811362629577638825090631851120432627184207588777521584233327128221127565609510157978537103728149932009576695355184478196114144488669332263277974705369314948190805910391635667550504103143546616231502646907262214885753310772510115341957122596514743486672874657661949957467215786752428188422633447154585698048889069556149204501337117386417515581501841690734937151526817022428163066673162548889923773419455912837181724344076939521471076183937759631516080212761119299857761382996055157895398063817426397804347741517946664531564427711084378202835442902324397016606548037893206694583403758205643325633329783677127876194031162014805032416519600316648283016672464658282877224868688270513631841473198347991079338424938563625341537691490173306838180371653829130776747356321591591300082181222891124977675588483215126973270895037584219141212701293312081420808145462758611228012760275036689297455008145421836546282808339094015808569110363176540868770136152034209515270101768812369385843266401286411970353004878678742112575964558826808765405563283119553030447717065196760665011132109556229235915655559851696537360063920137755925134249145943985545375705373144152591416808981587326414024403008188096750752058742435750947673713180081867080809864792128038895647972236012934922634439854042386045539147305495636294978298101236785281526567575374443329456093212588533635752165219042197343323931772941250601491251079114014660947295158557052619436515170262705890238222395567393299727914600340186804036377127151799768837570606845892313086952001554830524689512872868039397969219264395909916802014601258810712993800930423795788719469455196429547898349049152256205471714471656227504271864403768529168302974577655590913681812911636072853722461181507345113333645659463681019217323802546379419348741548971503283606574575552118487984812837062176233229238144609560982417433244196303939034315365182634982068433587060055292143939694010825755691332745400079443314386728614832256253073250914863069850945020697152094140686439827251163409789718603765688459653001131982422279447181890817745633476503335057492006694417110605761133128606570110786088640900788252945210683321824406778569243767831158019913545416842824175201531735375845702933734003521669999304543422144246007045994692730540941080461004520089554335437198790281085869878420245704500179866595284033765853809970693521828632649421876932245336009170023763088844631986304994319337226400162529617121151975828523044178992914112195500195753233645428683240963279139957030220434709846123543593067364693987508865165041276365982092955441047499571045167245592499747226390588886033606792640393957700135318619738296719697704194035223118457410507103149524167532629666529965990294312093153930838577504451446725776688643676548550780432524968261694626473744342075727583387903857379947858423648618955990865234581099727607412868888456458005460800216178674308361684541156005733770662230232029917314522048266126360563991759236414181167851278930714902231309057147085233571014603631427608482922282725547226151328398308620551113805890748176860912637412003808479366841104316176971102779794663319011236967701216971058449388902574582438894534259162801716020091263301519010923091225005995908220686581779386398693841237079405802357948004152129763821834864812995674776768960543909233103055051303900256616764723479616619630312220874492081123886493735688626145113733896615136002459101860847944780025660529367553502800027562559859056342721860823399705185150869739796909298201615951670767608806686498011674107758932434357902544457495247571169238280438240239475024497892418353096424674002584076974590001901664857570828013260315498835475104980145380514344553820208501778789111887444520403878614336891642720229091471241273975517237432013042232119367979787518206292391091382138173464754647972846880027121920303325652204303770765921641700490305418133600800385554700071958411483068294626470399471359348733708364954248357491029505115475392161953166022006879517585263220638941641510294087782631814663042585844536389446636639329333054835364907205099902263660422828058066715757411277899752518171498470629720394881772832523465449696988451175440464914608896876217398972020429032078300410186423764410527795155381027843653652005126165192618544036266691083487558392216864080188032894303264471305681284260308532002652303472842230306712233923164201652411356596937518092903284448551551976347562301682635897485394501204674194273900039753634939270639065473777781114212496691280604451558932557349333327261556569636205527658110103594544181721757794112507837937820748514195787663558457782824015795551867757150239698449214090761322973777511657944393106581917153986636844541193267922542324927345032860720310207948880418776132091574153576014517110828132574871523332716875194055100863597989331125854700713291344938495523319202791427766808015408360271347481232007158123493754519803147112457967910437377565622549008135595240155702121643734057512806605087950936347266648889466733724568585304338825131408256393385327574115039547124494156257473856943478469730912366365822964476133151720420511371900333893583892640582712963033651429423105518367151325061024146974823333563700065673904072312534085318270072430383800137268759728031659040606090553936372118485259485626244364424343448256846516411527937401752002897764278260149904804826012353525616643687269232981994567813135136803256824208399316798317455888631461406139239801892058887309843274735098462370394291547535629939240162907300661519764624200514485181024115784039823985064948181667958873625008218187701750815913343005073274468675919347578540446756946039703496189817748719618013193121444257126200739602670306014976378310258495634624452819378196175577808359242487806110058384149715269017435835641303488480746330178666320291648663745714396898639688189653862841150727759169607419124280708870849532529386008381
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.144s
user 0m0.120s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Jul 31 00:11:50 2004
Input: (2231^295 - 1)/((2231^59 - 1)*(5*11*181*941*4721*19471*2645831))
Output: 7731848600680725419872340508147390062527403035236775592315868324510707485677268563640410447118381932409235547763628411672078973405172336432083818274529873673246107464070134091562430223949938170363513951599379870994981722058115075464385954686230046834741000500638928812542099726424484594098219986595912188270163358280797325499698284069164880818295337541951138932872711141891105535436633083033328672934406150076849880016006897321527212067593791241638647237107391090188761376011232822723297668513606965664757829919326260443574453243451891219138870176326445248150783109897469242851917157350774681909581174361944646996328937628089215283603636455119025415777037257347614139702007577031263093107745388662279775551686324450093576306363829954143098187835600462734375976524956991
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Sat Jul 31 00:21:50 2004
Input: sqrt(6)
Output: 2.449489742783178098197284074
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Jul 31 00:47:01 2004
Input: (2231^295 - 1)/((2231^59 - 1)*(5*11*181*941*4721*19471*2645831*46039264566131))
Output: 167940315153702432375800550695229369802403980212020936540259277386301886139899965850294715404772422200103359497599991953309634334858953018972021070772995260207885334729065209558128776159343815628721611750691433489559906717450468487233739869084476698195634119486497201899925079549881583325141977446684624550061229847855152734492297951120716209806767305572829258556811641599326480657213226998688494649694877519120183485969243561892592052074915016200409593875204158346787559570588377248309813739653262124718520478309678094281396072053429254461125028388709076700759699551662680271551958618121975135692205436155119491493065240782926014063234138310426062848381326663489783293969970306926492857860261635568109767043121582573607424358149713141362184621437161133061
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Jul 31 02:36:24 2004
Input: (2231^295+1)/(2^3*3^2*31*10331*11801*27241*87991*180813761*57993871231*2732902756301*20862329904766606481*((2231^59+1)/(2^3*3^2*31)))
Output: 100826698860916117600886609572767931374926045512892415551493554373364081345564745488973993488606764817216093532001407988881544836902130106988286297708059699643859825748484562708110477006507948002759546010352843741938448605434402312319034810920534747602879043497494672245944936382024693332441407049630492736279083990183607732505782517141898538274900807309970414342634244913006342866180539352665496737924265067584487830394406505734729803215665231355914264630053313416981287476310431974671127902538087803489093915211069408199269975846343802949543971422614113072508950419855248777938145348817678665281683962072878863732249097651774142620701726150045611800107848145785954000090847610128889400913589282953200625056863915266533411
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Jul 31 02:36:28 2004
Input: (2231^295+1)/(2^3*3^2*31*10331*11801*27241*87991*180813761*57993871231*2732902756301*20862329904766606481*((2231^59+1)/(2^3*3^2*31)))
Output: 100826698860916117600886609572767931374926045512892415551493554373364081345564745488973993488606764817216093532001407988881544836902130106988286297708059699643859825748484562708110477006507948002759546010352843741938448605434402312319034810920534747602879043497494672245944936382024693332441407049630492736279083990183607732505782517141898538274900807309970414342634244913006342866180539352665496737924265067584487830394406505734729803215665231355914264630053313416981287476310431974671127902538087803489093915211069408199269975846343802949543971422614113072508950419855248777938145348817678665281683962072878863732249097651774142620701726150045611800107848145785954000090847610128889400913589282953200625056863915266533411
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:48:13 2004
Input: x^2+2*x+1
Output: x^2 + 2*x + 1
Errors (if any) and Timing Info:
Timing:
real 0m0.106s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:48:50 2004
Input: x=1
x^2+2*x+1
Output: 1
4
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:49:54 2004
Input: factor(81)
Output:
[3 4]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:50:14 2004
Input: factor(144)
Output:
[2 4]
[3 2]
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:50:29 2004
Input: factor(2^31-1)
Output:
[2147483647 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:50:45 2004
Input: factor(2^15-1)
Output:
[7 1]
[31 1]
[151 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:50:53 2004
Input: factor(2^63-1)
Output:
[7 2]
[73 1]
[127 1]
[337 1]
[92737 1]
[649657 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:51:07 2004
Input: factor(2^65-1)
Output:
[31 1]
[8191 1]
[145295143558111 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:51:16 2004
Input: factor(2^65+1)
Output:
[3 1]
[11 1]
[131 1]
[2731 1]
[409891 1]
[7623851 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:51:26 2004
Input: factor(2^63+1)
Output:
[3 3]
[19 1]
[43 1]
[5419 1]
[77158673929 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:51:32 2004
Input: factor(2^63-1)
Output:
[7 2]
[73 1]
[127 1]
[337 1]
[92737 1]
[649657 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:51:42 2004
Input: factor(2^163-1)
Output:
[150287 1]
[704161 1]
[110211473 1]
[27669118297 1]
[36230454570129675721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.244s
user 0m0.210s
sys 0m0.020s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:51:52 2004
Input: factor(2^163-1)
Output:
[150287 1]
[704161 1]
[110211473 1]
[27669118297 1]
[36230454570129675721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.236s
user 0m0.180s
sys 0m0.060s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:52:00 2004
Input: factor(2^166-1)
Output:
[3 1]
[167 1]
[499 1]
[1163 1]
[2657 1]
[155377 1]
[13455809771 1]
[57912614113275649087721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.280s
user 0m0.240s
sys 0m0.040s
************** PARI *****************
Host evrtwa1-ar7-4-63-180-017.evrtwa1.dsl-verizon.net. (4.63.180.17)
Time: Sat Jul 31 12:52:07 2004
Input: factor(2^167-1)
Output:
[2349023 1]
[79638304766856507377778616296087448490695649 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.085s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Jul 31 16:15:33 2004
Input: x^10+1
Output: x^10 + 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Jul 31 16:15:50 2004
Input: phi(10,2)
Output:
Errors (if any) and Timing Info: *** obsolete function: phi(10,2)
^---------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: phi(x) ===> eulerphi(x)
eulerphi(x): Euler's totient function of x.
Timing:
real 0m0.082s
user 0m0.010s
sys 0m0.050s
************** PARI *****************
Host ool-18bbf3f4.dyn.optonline.net. (24.187.243.244)
Time: Sat Jul 31 16:48:52 2004
Input: 55334343434
Output: 55334343434
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ool-18bbf3f4.dyn.optonline.net. (24.187.243.244)
Time: Sat Jul 31 16:49:11 2004
Input: 55334343434+232322378787878*6
Output: 1393989607070702
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ool-18bbf3f4.dyn.optonline.net. (24.187.243.244)
Time: Sat Jul 31 16:49:43 2004
Input: 34*2
Output: 68
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ool-18bbf3f4.dyn.optonline.net. (24.187.243.244)
Time: Sat Jul 31 16:49:52 2004
Input: 34*2-100
Output: -32
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:06:50 2004
Input: 2**3
Output:
Errors (if any) and Timing Info: *** unexpected character: 2**3
^--
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:07:01 2004
Input: 2^3
Output: 8
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:07:19 2004
Input: log(6873635!)
Output: ** WARNING: Computation used more memory than allowed. **
Errors (if any) and Timing Info: *** the PARI stack overflows !
current stack size: 64.0 Mbytes
[hint] you can increase GP stack with allocatemem()
Timing:
real 0m0.394s
user 0m0.150s
sys 0m0.250s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:07:52 2004
Input: (6873635!)mod(721!)
Output:
Errors (if any) and Timing Info: *** unused characters: (6873635!)mod(721!)
^---------
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:08:28 2004
Input: 6873635 mod 721
Output:
Errors (if any) and Timing Info: *** unused characters: 6873635mod721
^------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:09:05 2004
Input: 6873635 mod 721
Output:
Errors (if any) and Timing Info: *** unused characters: 6873635mod721
^------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (200.152.8.176)
Time: Sat Jul 31 22:09:18 2004
Input: 6873635mod721
Output:
Errors (if any) and Timing Info: *** unused characters: 6873635mod721
^------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pool-68-237-221-226.ny325.east.verizon.net. (68.237.221.226)
Time: Sun Aug 1 00:18:43 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host pool-68-237-221-226.ny325.east.verizon.net. (68.237.221.226)
Time: Sun Aug 1 00:26:24 2004
Input: 10!
Output: 3628800
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pool-68-237-221-226.ny325.east.verizon.net. (68.237.221.226)
Time: Sun Aug 1 00:26:35 2004
Input: 10!
Output: 3628800
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host webcacheB16a.cache.pol.co.uk. (195.92.168.178)
Time: Sun Aug 1 08:53:29 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host m020053.ap.plala.or.jp. (219.164.20.53)
Time: Sun Aug 1 11:48:45 2004
Input: factor(6853714382111772333567001250060157467)
Output:
[6853714382111772333567001250060157467 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.315s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host m020053.ap.plala.or.jp. (219.164.20.53)
Time: Sun Aug 1 11:48:53 2004
Input: factor(10027316802528728876840365539723496805982556831028807023311815417)
Output:
[10027316802528728876840365539723496805982556831028807023311815417 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.078s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host m020053.ap.plala.or.jp. (219.164.20.53)
Time: Sun Aug 1 11:49:01 2004
Input: factor(10982111550657510700513355288216179071140051766262673835508750420486872948294203183491129951906834483681)
Output:
[10982111550657510700513355288216179071140051766262673835508750420486872948294203183491129951906834483681 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.154s
user 0m0.150s
sys 0m0.010s
************** PARI *****************
Host m020053.ap.plala.or.jp. (219.164.20.53)
Time: Sun Aug 1 11:49:08 2004
Input: factor(11929546337170934826957294007451)
Output:
[11929546337170934826957294007451 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Aug 1 14:44:41 2004
Input: (3^7177-1)/2
Output: 9958986126081260794873885211223427690778581533415720720049226471521124575719758647347625159553844789791302348115530671880253873761135315229537576587051367364601949818284594590508709267200823252675592483460738471295641917990267714272494745088698478277189358876162440570796168902067971069828451821110457082027858930608813464205241751093544301349905956839676465066973229652346872813537715190733776544504262268808877894338241016541128995577173262003095891665603832971847860731740018404605045940280730771840749261647853794795850681964816859564538249934337910095264319534657921813157437599556602182130026623117442317342182270572983227809373707175956412233986557476004407659662350266092762750266441646743193315621415044059254528523157187001511949309331775402483973443970509486380238650395012602099372431238071363384610504536236468653940532563758343989083817869140977354453416414214009326400873100183908825773776942467761718971088653992326695071211641291817999910591062796209753754798844512103023790940820812700813056621148542579724795125200695475322902950655599728906709771788925283076108105865426383767941651572088870625409521343175311788422903190225346787911737020552140708287430272762656500363298422235793098222275262324600850282115585686050088705384473233994136720161607542935648357023177161559614312227328863015804825370304494316663420513003984118038282697535301718170568175601871556114959308102383977609009602576815605199766800306312810150264631244644246541486710731791316199236868669776219864752823299692337912035493771152344240264400769487170145935560601816883678249893270536570728880115097502155324326260573876466319201261749137665383425728563285029925294707871354342352468028687552841899790163242524712789061183928165779874928106081660637428778474788159430912099064459688796566604912133158040965655491187156561561966421248059708193009112733322531475960064567377904411047391145595859511515567249690613891890138254939548647266470529845239309809194246931499046521950996578730640809480011557883778151828707872240012195478644319139873523426023826047171480515631845395596057780889568279774630554019039902229236401898852186308103824482445932561939442235519778110461282430239332232381912855138506027712957493152819106551992370669886842634135009771199459982103241651710814259455376295754096566074266404699480773340541351890089455040805450208437978199195295253922564700280631536623413115385270214005883203206067660636565468516993471138431748200028894133244506315974091571381991542340521502876226011160669833772296396077135298499203534291010159709590664795094343994952806637775565433450731908966831067309741486586195359680042042961400049459499046389860231716567668218739851611407450139783220741660264467258840216131126569798528496268020734203514839164958253446392362211281743133312360698822701164231504057621661508803064838909943652589148750696272924580677113587142399132305047642444744670836901804206473712991937433097756692077445883733299547940328109703030714826735899461584727701404016681321471837484386398663541145631535449154791015265131016653188519205195257481160048181859377682927061270338960402172418145089591436147874595184397596535296481344676558105413043184188548082418583942610373644396596428867080943351336493534063158038674383670048883254685091717123182160356840835395545763507775780785282023007176247510524421680734648505723316056275821107388884245359008257706987073014515351202199418733336109299077011391356770528881
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Aug 1 14:46:34 2004
Input: (3^7177-1)/2
Output: 9958986126081260794873885211223427690778581533415720720049226471521124575719758647347625159553844789791302348115530671880253873761135315229537576587051367364601949818284594590508709267200823252675592483460738471295641917990267714272494745088698478277189358876162440570796168902067971069828451821110457082027858930608813464205241751093544301349905956839676465066973229652346872813537715190733776544504262268808877894338241016541128995577173262003095891665603832971847860731740018404605045940280730771840749261647853794795850681964816859564538249934337910095264319534657921813157437599556602182130026623117442317342182270572983227809373707175956412233986557476004407659662350266092762750266441646743193315621415044059254528523157187001511949309331775402483973443970509486380238650395012602099372431238071363384610504536236468653940532563758343989083817869140977354453416414214009326400873100183908825773776942467761718971088653992326695071211641291817999910591062796209753754798844512103023790940820812700813056621148542579724795125200695475322902950655599728906709771788925283076108105865426383767941651572088870625409521343175311788422903190225346787911737020552140708287430272762656500363298422235793098222275262324600850282115585686050088705384473233994136720161607542935648357023177161559614312227328863015804825370304494316663420513003984118038282697535301718170568175601871556114959308102383977609009602576815605199766800306312810150264631244644246541486710731791316199236868669776219864752823299692337912035493771152344240264400769487170145935560601816883678249893270536570728880115097502155324326260573876466319201261749137665383425728563285029925294707871354342352468028687552841899790163242524712789061183928165779874928106081660637428778474788159430912099064459688796566604912133158040965655491187156561561966421248059708193009112733322531475960064567377904411047391145595859511515567249690613891890138254939548647266470529845239309809194246931499046521950996578730640809480011557883778151828707872240012195478644319139873523426023826047171480515631845395596057780889568279774630554019039902229236401898852186308103824482445932561939442235519778110461282430239332232381912855138506027712957493152819106551992370669886842634135009771199459982103241651710814259455376295754096566074266404699480773340541351890089455040805450208437978199195295253922564700280631536623413115385270214005883203206067660636565468516993471138431748200028894133244506315974091571381991542340521502876226011160669833772296396077135298499203534291010159709590664795094343994952806637775565433450731908966831067309741486586195359680042042961400049459499046389860231716567668218739851611407450139783220741660264467258840216131126569798528496268020734203514839164958253446392362211281743133312360698822701164231504057621661508803064838909943652589148750696272924580677113587142399132305047642444744670836901804206473712991937433097756692077445883733299547940328109703030714826735899461584727701404016681321471837484386398663541145631535449154791015265131016653188519205195257481160048181859377682927061270338960402172418145089591436147874595184397596535296481344676558105413043184188548082418583942610373644396596428867080943351336493534063158038674383670048883254685091717123182160356840835395545763507775780785282023007176247510524421680734648505723316056275821107388884245359008257706987073014515351202199418733336109299077011391356770528881
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sun Aug 1 15:01:07 2004
Input: (3^7177-1)/(2*498455850569977)
Output: 19979675461113166421007970824450284822960512031063848391225717096179057829075349006546407187014744155491804376657989847417505069906688883276889551930305745682435208276615114222510291148146972364610076531346519215670448917391725368825165347225510963832873656199626531880610162646006526747244695242911016936724017242581601336066791805866462412303030068685987526493149026667780647053327000425854391763637749691463996738019358279765538354803642102198580630924009499938005939714771542763112733676994711103959026282361015266356220482702524962833119882520397220367532797661483319737260901774293240156623076002349839663333929592329792178308301027584139934228199408602422849170451469201266964144037834493901396732109731762364803117077979525646567119675450470149421941420917097434226470019615402045595501426045424578869959173607198608981779010141321220577036005351935835705355017071989169674224311213878939514945407170078801114263347157602517599547485434175445818512457986997112156874366804348513626129150795867850341971613763137949382925380904374611093781370904162333460161090396076292926291724035694246094711802992709025866652400421779334224321740043875730143248554472163902532003317042580605408451586421029632262763228787648101623413214162654238123433017769485528091449039594104646194097309226862434442514532696570639108824035543296601607863456531484039508889341248865868689400183313914979291032475496112966320209949130943691450223541131253142774623587395739498429851507681652935571668731365963889012386601004039295017916207653547486603915602550250271415515660316185504008452159308213624783142655231111951286483575055765556086143190791774292398218603924551361401798567623674995837702828816165958609249622915049428086379277233431162609985843903143550383442030766127617003820787142335747034722954993000393610808471478564814544815722291651862945093851035085200714437010057691650583285314478878411840863913431591831264276908469267216321523662271296739439214711978174627015287134486005963392503586857269037673058094156374344245789670307082725502977516243044256368580847269925290297400609706409850453154851502499287418126130035650918910418286142378405392102481825311874315680107362389129705849462641049446726235667605211558841041435660008027730940943691949193087564280794740566771792549629841343092267840882403431192840208496600865595594813935617092617925891723826108040448249725749962789040050075972693235981713191855430519295311301687175481298889321340289404838828116617090235688742144511613860232415524759070096612760989002503688682806088697023806004738688331035538325198036315140376602373039606769692985571284172408111011122417668836423113158609954364173287880840941303591430234012335313732544008752089539690125969164907263645962122536802770970298786092329465580240838598348902257925648653851717702691348805706171550746326473909785045093705290145352019480762048593784362167613477196094534308381629832848862112370115734172595699821663853551015701159653023237976169003982913594456878296395294709806236489496827338047307479636050562621090360829449180020059076295126329346305853086166019434686967784638070884688712985206960405778298968665128687470419752213459063622269227009690829948361592628781622610350612834190369502049203065556487184054484440225199494535868240727945333403078213523442918473233590172864898660629943261014292944094428822752532764838160598181822163337993840507253093412810620894606092301030150288806551353
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host x-137-82-99-236.library.ubc.ca. (137.82.99.236)
Time: Sun Aug 1 22:10:27 2004
Input: F:=QuadraticField(3);
E:=EllipticCurve([F|96, (-16)]);
_:=PolynomialRing(RationalField());
E2, f:=IsogenyFromKernel(E, X-12);
E3, g:=IsogenyFromKernel(E2, X-5);
_, h:= IsogenyFromKernel(E, (X-12)*(X^3-216*X^2+7344*X-12096));
K:=Kernel(h);
TorsionSubgroupScheme(K, 27);
Points();
Output:
Errors (if any) and Timing Info: *** unexpected character: F:=QuadraticField(3);
^-------------------
*** unexpected character: E:=EllipticCurve([F|96
^--------------------
*** unexpected character: _:=PolynomialRing
^--------------------
*** unused characters: E2,f:=IsogenyFromKerne
^--------------------
*** unused characters: E3,g:=IsogenyFromKerne
^--------------------
*** unexpected character: _,h:=IsogenyFromKern
^--------------------
*** unexpected character: K:=Kernel(h);
^-----------
*** unknown function or error in formal parameters: TorsionSubgroupSchem
^--------------------
*** expected character: '=' instead of: Points();
^-
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 00:02:27 2004
Input: ((2^245969)-1)/245969.0
Output: 4.530259693430272570151228129 E74038
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 00:02:53 2004
Input: ((2^21)-1)/21.0
Output: 99864.33333333333333333333333
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 00:03:50 2004
Input: ((2^2047)-1)/2047.0
Output: 7.893748429729117562460888297 E612
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 00:04:13 2004
Input: ((2^20)-1)/21.0
Output: 49932.14285714285714285714285
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host proxy320.docomo.ne.jp. (210.136.161.232)
Time: Mon Aug 2 04:21:05 2004
Input: Euler()
Output: 0.5772156649015328606065120900
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CWPP-p-144-134-225-91.prem.tmns.net.au. (144.134.225.91)
Time: Mon Aug 2 05:13:45 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host aslda002p126.sercomtel.com.br. (200.155.51.126)
Time: Mon Aug 2 20:52:27 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 21:10:21 2004
Input: powermodn(2,11,23)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: powermodn(2,11,23)
^------------------
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 21:10:27 2004
Input: powermod(2,11,23)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: powermod(2,11,23)
^-----------------
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 21:10:36 2004
Input: powmod(2,11,23)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: powmod(2,11,23)
^---------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 21:10:42 2004
Input: powmodn(2,11,23)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: powmodn(2,11,23)
^----------------
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 21:10:52 2004
Input: GCD(2,11)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: GCD(2,11)
^---------
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 21:11:01 2004
Input: gcd(2,11)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:36:13 2004
Input: x=2;
m=23;
k=11;
lift(Mod(x,m)^k)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:36:23 2004
Input: x=2;
m=22;
k=11;
lift(Mod(x,m)^k)
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:36:31 2004
Input: x=2;
m=23;
k=11;
lift(Mod(x,m)^k)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.000s
sys 0m0.050s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:36:40 2004
Input: x=2;
m=89;
k=11;
lift(Mod(x,m)^k)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:36:52 2004
Input: x=2;
m=47;
k=23;
lift(Mod(x,m)^k)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:36:58 2004
Input: x=2;
m=48;
k=23;
lift(Mod(x,m)^k)
Output: 32
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:37:24 2004
Input: x=2;
m=178481;
k=23;
lift(Mod(x,m)^k)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:37:35 2004
Input: x=2;
m=256999;
k=29;
lift(Mod(x,m)^k)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 22:37:39 2004
Input: x=2;
m=223;
k=29;
lift(Mod(x,m)^k)
Output: 196
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:17:05 2004
Input: n=2;
e=11;
x=(n^e)-1;
factorise(x)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: factorise(x)
^
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:17:22 2004
Input: n=2;
e=11;
x=(n^e)-1;
factorize(x)
Output:
Errors (if any) and Timing Info: *** expected character: '=' instead of: factorize(x)
^
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:17:48 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-2)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:17:55 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-3)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:18:08 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-(23*23))
Output: 529
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:18:36 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-(89*89))
Output: 7921
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:19:01 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-(24*89))
Output: 89
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:19:07 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-(89))
Output: 89
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:19:14 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-(89*89))
Output: 7921
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:19:21 2004
Input: n=2;
e=11;
x=(n^e)-1;
gcd(x^2,x^2-(89*89*23*23))
Output: 4190209
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:20:26 2004
Input: n=2;
e=11;
x=(n^e)-1;
(x^2)/(x^2-(89*89))
Output: 529/528
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:20:46 2004
Input: n=2;
e=11;
x=(n^e)-1;
(x^2-1)/(x^2-(89*89))
Output: 7936/7921
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:20:56 2004
Input: n=2;
e=11;
x=(n^e)-1;
(x^2)/(x^2-(89*89))
Output: 529/528
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:21:02 2004
Input: n=2;
e=11;
x=(n^e)-1;
(x^2)/(x^2-(89*89)+1)
Output: 4190209/4182289
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:21:14 2004
Input: n=2;
e=11;
x=(n^e)-1;
(x^2)/(x^2-(89*89))
Output: 529/528
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:21:24 2004
Input: n=2;
e=11;
x=(n^e)-1;
(x^2)/(x^2-(88*88))
Output: 4190209/4182465
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:21:38 2004
Input: n=2;
e=11;
x=(n^e)-1;
((x^2)/(x^2-(88*88)))*1.0
Output: 1.001851539702065647889462314
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:21:48 2004
Input: n=2;
e=11;
x=(n^e)-1;
((x^2)/(x^2-(89*89)))*1.0
Output: 1.001893939393939393939393939
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Mon Aug 2 23:22:48 2004
Input: n=2;
e=11;
x=(n^e)-1;
((x^2)/(x^2-(88*88)))*1.0
Output: 1.001851539702065647889462314
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:13:44 2004
Input: sin(1/3)
Output: 0.3271946967961522441733440852
Errors (if any) and Timing Info:
Timing:
real 0m0.223s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:14:55 2004
Input: 50!
Output: 30414093201713378043612608166064768844377641568960512000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:15:19 2004
Input: 50!
Output: 30414093201713378043612608166064768844377641568960512000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:15:54 2004
Input: sin(1/3)
Output: 0.3271946967961522441733440852
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.010s
sys 0m0.050s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:16:13 2004
Input: sin(0.3271946967961522441733440852)
Output: 0.3213878211944516174752608711
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:21:53 2004
Input: 1/3
Output: 1/3
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host host-99-208-cn.riscom.md. (195.138.99.208)
Time: Tue Aug 3 06:22:03 2004
Input: pi
Output: pi
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host newton.Informatik.UniBw-Muenchen.de. (137.193.61.16)
Time: Tue Aug 3 08:09:13 2004
Input: A=[-1,1,0,0,0,0,0;-1,0,0,0,0,0,0;-1,0,0,1,0,0,0;-1,0,0,0,1,0,0;-1,0,1,0,0,0,0;-1,0,0,0,0,0,1;-1-1,-1,-2,-2,-2,-1,-1];
matrank(A)
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host newton.Informatik.UniBw-Muenchen.de. (137.193.61.16)
Time: Tue Aug 3 08:10:00 2004
Input: A=[-1,1,0,0,0,0,0;-1,0,0,0,0,0,0;-1,0,0,1,0,0,0;-1,0,0,0,1,0,0;-1,0,1,0,0,0,0;-1,0,0,0,0,0,1;-1-1,-1,-2,-2,-2,-1,-1];
matrank(A % 3)
Output: WARNING: PARI command contains unsafe command '%', so it will not be executed.
************** PARI *****************
Host 82-43-125-123.cable.ubr02.mort.blueyonder.co.uk. (82.43.125.123)
Time: Tue Aug 3 15:49:49 2004
Input: SDSADFG
Output: SDSADFG
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Tue Aug 3 17:22:23 2004
Input: 127265758603053652854671144842647200096979469577422603773338025370475153/19532873
Output: 6515465420936984173023146407732605444011204576890588689812196361
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Aug 4 00:51:29 2004
Input: a=1070393741163148155140002073983180480759399898691736719484735047143278926103617010609652126665801063893223584191755295330789018217207945549138520474792623927242735488443881142104699789782210172928975896738895832197612166084745676956951404400308684101704866105705305247055335973308139964471316824642504293039366278387990046613544517844635154824075842045095053209331444802766174109712300516774551695312505342204453401455091375199535727402456168005631;
b=795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431;
gcd(a,b)
Output: 795535258017305167145121871550373005335397768371315887482970506034490852226395158613855712286911706841452612879325276931891140828826431
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host ge1-0.cc2.jnb6.alter.net. (196.30.245.149)
Time: Wed Aug 4 02:50:03 2004
Input: 4*6
Output: 24
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Aug 4 03:48:43 2004
Input: a=198883814504326291786280467887593251333849442092828971870742626508619180375368768842191036484325636993506741924189772363606819285182564;
b=198883814504326291786280467887593251333849442092828971870742626508647385609954166375578897222778628466277727551799317050362309796605049;
sqrt(a)
sqrt(b)
Output: 1.410261729269876669393036922 E67
1.410261729269876669393036922 E67
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (194.6.183.6)
Time: Wed Aug 4 03:48:59 2004
Input: 1+7*(34+8)/8
Output: 151/4
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Aug 4 03:49:04 2004
Input: a=198883814504326291786280467887593251333849442092828971870742626508619180375368768842191036484325636993506741924189772363606819285182564;
b=198883814504326291786280467887593251333849442092828971870742626508647385609954166375578897222778628466277727551799317050362309796605049;
sqrt(b)-sqrt(a)
Output: 0.E39
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Wed Aug 4 04:12:14 2004
Input: a=198883814504326291786280467887593251333849442092828971870742626508619180375368768842191036484325636993506741924189772363606819285182564;
b=198883814504326291786280467887593251333849442092828971870742626508647385609954166375578897222778628466277727551799317050362309796605049;
c=14102617292698766693930369226495736385492813804772343377745255711242 ;
d=14102617292698766693930369226495736385492813804772343377745255711243 ;
e=2631454243152609355065350919125025237970825046252050668267571294054932794512762234151556309927451051888280185551378986427825112554419604439104051372848053519774164594324620853759180511;
a/c
b/d
Output: 14102617292698766693930369226495736385492813804772343377745255711242
14102617292698766693930369226495736385492813804772343377745255711243
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host d18e7.uni-lueneburg.de. (195.37.24.231)
Time: Wed Aug 4 08:36:04 2004
Input: 2+5
Output: 7
Errors (if any) and Timing Info:
Timing:
real 0m0.229s
user 0m0.020s
sys 0m0.020s
************** PARI *****************
Host q129237.ap.plala.or.jp. (220.99.129.237)
Time: Wed Aug 4 11:33:31 2004
Input: factor(20934653464832126854449165578597)
Output:
[20934653464832126854449165578597 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host q129237.ap.plala.or.jp. (220.99.129.237)
Time: Wed Aug 4 11:33:37 2004
Input: factor(3906225375647472141875367898907852805403416735828228781396251017)
Output:
[3906225375647472141875367898907852805403416735828228781396251017 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.083s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (210.212.94.118)
Time: Wed Aug 4 12:57:52 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:04:16 2004
Input: 17659672487106232246454225284404263276762984984631/3
Output: 5886557495702077415484741761468087758920994994877
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:05:13 2004
Input: 242847067260953245666096148013543855232281882712434736999441872360397522795466777829406112421074385/5886557495702077415484741761468087758920994994877
Output: 41254513769424991110492595051972848126838179300005
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:08:03 2004
Input: 1214235336304766228330480740067719276161409413562173684997209361801987613977333889147030562105371925/5886557495702077415484741761468087758920994994877
Output: 206272568847124955552462975259864240634190896500025
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:08:52 2004
Input: 1214235336304766228330480740067719276161409413562173684997209361801987613977333889147030562105371925/5886557495702077415484741761468087758920994994877/5
Output: 41254513769424991110492595051972848126838179300005
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:09:42 2004
Input: 732183907791774035683279886260834723525329876377990732053317245166598531228332335155659428949539270775/5886557495702077415484741761468087758920994994877/5
Output: 24876471802963269639627034816339627420483422117903015
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:09:52 2004
Input: 732183907791774035683279886260834723525329876377990732053317245166598531228332335155659428949539270775/5886557495702077415484741761468087758920994994877
Output: 124382359014816348198135174081698137102417110589515075
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Wed Aug 4 15:10:48 2004
Input: 732183907791774035683279886260834723525329876377990732053317245166598531228332335155659428949539270775/5886557495702077415484741761468087758920994994877/41254513769424991110492595051972848126838179300005
Output: 3015
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host clover.Berkeley.EDU. (128.32.183.128)
Time: Wed Aug 4 18:35:14 2004
Input: ellinit([1,2,3,4,5])
Output: [1, 2, 3, 4, 5, 9, 11, 29, 35, -183, -3429, -10351, 6128487/10351, [-1.618909932267371342378000939, -0.3155450338663143288109995301 - 2.092547096911958607981689446*I, -0.3155450338663143288109995301 + 2.092547096911958607981689446*I]~, 2.780740013766729771063197626, -1.390370006883364885531598813 + 1.068749776356193066159263547*I, -1.554824121162190164275074561 + 5.12356965 E-29*I, 0.7774120605810950821375372806 - 1.727349756386839866714149879*I, 2.971915267817909670771647950]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host clover.Berkeley.EDU. (128.32.183.128)
Time: Wed Aug 4 18:36:14 2004
Input: ellinit([0,0,0,3,9])
Output: [0, 0, 0, 3, 9, 0, 6, 36, -9, -144, -7776, -36720, 6912/85, [-1.609695494016668756272273536, 0.8048477470083343781361367683 - 2.223362248396148211390420578*I, 0.8048477470083343781361367683 + 2.223362248396148211390420577*I]~, 2.701971133183055247272653576, -1.350985566591527623636326788 + 0.8980260334379791460263361167*I, -1.835229185597015777532747931 + 0.E-28*I, 0.9176145927985078887663739657 - 1.772660033543222700484184558*I, 2.426440419196300776027421387]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:20:38 2004
Input: ((64722880*4001#+1)*(2*64722880*4001#+1)*(3*64722880*4001#+1)-1)/(2^7*3^2*5*45817*298290431*4001#)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: ((64722880*4001#+1)*(2*64722880*400
^--------------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:21:15 2004
Input: ((64722880*4001#+1)*(2*64722880*4001#+1)*(3*64722880*4001#+1)-1)/(2^8*3^3*5^2*7*
11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97*101*103*107*109*1
13*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*2
29*233*239*241*251*257^2*263*269*271*277*281*283*293*307*311*313*317*331*337*347
*349*353*359*367*373*379*383*389*397*401*409*419*421*431*433*439*443*449*457*461
*463*467*479*487*491*499*503*509*521*523*541*547*557*563*569*571*577*587*593*599
*601*607*613*617*619*631*641*643*647*653*659*661*673*677*683*691*701*709*719*727
*733*739*743*751*757*761*769*773*787^2*797*809*811*821*823*827*829*839*853*857*8
59*863*877*881*883*887*907*911*919*929*937*941*947*953*967*971*977*983*991*997*1
009*1013*1019*1021*1031*1033*1039*1049*1051*1061*1063*1069*1087*1091*1093*1097*1
103*1109*1117*1123*1129*1151*1153*1163*1171*1181*1187*1193*1201*1213*1217*1223*1
229*1231*1237*1249*1259*1277*1279*1283*1289*1291*1297*1301*1303*1307*1319*1321*1
327*1361*1367*1373*1381*1399*1409*1423*1427*1429*1433*1439*1447*1451*1453*1459*1
471*1481*1483*1487*1489*1493*1499*1511*1523*1531*1543*1549*1553*1559*1567*1571*1
579*1583*1597*1601*1607*1609*1613*1619*1621*1627*1637*1657*1663*1667*1669*1693*1
697*1699*1709*1721*1723*1733*1741*1747*1753*1759*1777*1783*1787*1789*1801*1811*1
823*1831*1847*1861*1867*1871*1873*1877*1879*1889*1901*1907*1913*1931*1933*1949*1
951*1973*1979*1987*1993*1997*1999*2003*2011*2017*2027*2029*2039*2053*2063*2069*2
081*2083*2087*2089*2099*2111*2113*2129*2131*2137*2141*2143*2153*2161*2179*2203*2
207*2213*2221*2237*2239*2243*2251*2267*2269*2273*2281*2287*2293*2297*2309*2311*2
333*2339*2341*2347*2351*2357*2371*2377*2381*2383*2389*2393*2399*2411*2417*2423*2
437*2441*2447*2459*2467*2473*2477*2503*2521*2531*2539*2543*2549*2551*2557*2579*2
591*2593*2609*2617*2621*2633*2647*2657*2659*2663*2671*2677*2683*2687*2689*2693*2
699*2707*2711*2713*2719*2729*2731*2741*2749*2753*2767*2777*2789*2791*2797*2801*2
803*2819*2833*2837*2843*2851*2857*2861*2879*2887*2897*2903*2909*2917*2927*2939*2
953*2957*2963*2969*2971*2999*3001*3011*3019*3023*3037*3041*3049*3061*3067*3079*3
083*3089*3109*3119*3121*3137*3163*3167*3169*3181*3187*3191*3203*3209*3217*3221*3
229*3251*3253*3257*3259*3271*3299*3301*3307*3313*3319*3323*3329*3331*3343*3347*3
359*3361*3371*3373*3389*3391*3407*3413*3433*3449*3457*3461*3463*3467*3469*3491*3
499*3511*3517*3527*3529*3533*3539*3541*3547*3557*3559*3571*3581*3583*3593*3607*3
613*3617*3623*3631*3637*3643*3659*3671*3673*3677*3691*3697*3701*3709*3719*3727*3
733*3739*3761*3767*3769*3779*3793*3797*3803*3821*3823*3833*3847*3851*3853*3863*3
877*3881*3889*3907*3911*3917*3919*3923*3929*3931*3943*3947*3967*3989*4001*45817*
298290431)
Output: 1332071413418356838944172199390799093690463
68525393640898060557938946422101204737840514
292762891941532304987179999779916667972791487177231
15410410738274535079079431452493539390942966871114993312129
19838647340620634636650438255554757453018380231
1060226821239155758653630935171794557939445097551
9574223253415488845529513097304727997449948803969
60560890419713777008138835366797697876669705693259
257278726962934938966408967661636882803412880186387
886730737624192674394804905889212619611796440073599
3222390652060054327449327100320779950100447495285891
11390796376461848532461348378348051606108174391864329
70093867692776971845850145645411066863450215126544734
13684796330614859669051182575748080544026753477998754
88210643401020817740862725728328985714476712052037606
293691725362267397151160455096669504857148062846944698
857804358021472058625996224140702475999852417891791318
2684654661796927740642042034464476656221244561170559158
5482746086011287034734695160065439243700080139737667302
12300850520170392934173083536295295291700056240022542358
44480523363960457061762587197575313422452082432780739747
7986787182565263596630496958195061099125888489817018889
41185279170102526882123739068840640851026601766076592371
113291036044895715282326573360449166757759228889648128429
271612419078233413400489011194716720210049623988857554977
546064106522765455685539024341992769580949130272252543859
1121946168609077456162542335288054305657963422342263613467
Errors (if any) and Timing Info: *** expected character: ')' instead of: ((64722880*4001#+1)*(2*64722880*400
^--------------------
*** unexpected character: *349*353*359*367*373
^--------------------
*** unexpected character: *463*467*479*487*491
^--------------------
*** unexpected character: *601*607*613*617*619
^--------------------
*** unexpected character: *733*739*743*751*757
^--------------------
*** unexpected character: ...947*3967*3989*4001*45817*
^
*** unused characters: 298290431)
^-
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:24:15 2004
Input: ((64722880*4001#+1)*(2*64722880*4001#+1)*(3*64722880*4001#+1)-1)/(2^7*3^2*5*45817*298290431*prod(p=2,4001,if(isprime(p),p,1)))
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: ((64722880*4001#+1)*(2*64722880*400
^--------------------
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:25:07 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*4001#+1)*(2*64722880*4001#+1)*(3*64722880*4001#+1)-1)/(2^7*3^2*5*45817*298290431*P);
N =
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: N=((64722880*4001
*** #+1)*(2*64722880*400
^--------------------
*** unexpected character: N=
^
Timing:
real 0m0.108s
user 0m0.070s
sys 0m0.040s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:25:14 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*4001#+1)*(2*64722880*4001#+1)*(3*64722880*4001#+1)-1)/(2^7*3^2*5*45817*298290431*P);
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: N=((64722880*4001
*** #+1)*(2*64722880*400
^--------------------
Timing:
real 0m0.106s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:25:41 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*45817*298290431*P);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.110s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:25:57 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*45817*298290431*P);
N?
Output:
Errors (if any) and Timing Info: *** unused characters: N?
^-
Timing:
real 0m0.110s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Wed Aug 4 22:26:35 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*45817*298290431*P);
print(N);
Output: 4980848357762900276878046043277746003323373490208753555378063437766031622881061836600077692769016619525174144368865862441225488828011549140714330065827907102136522159526813308643117483774529775689384200797249171765828202879157697564525883248369230156654938557506868719848721806976688933608524645614186499898969794853759142431374474914859515522020199343928102653630243350604811886414964883724008687519111092340409699652892684536857141647033370291554640068031616236291591776437778861681222086708062342460034206058853337230854131304371346252840247563230126326339801609104825893136618667864684915623323008277466529809490979129569970316668967492843238689204477799429913505656557249245143280965645361852393788581392279956661654606584338886000777560203517071526022270765144193442004904981611537636090272887210327404712236674583678985933776477140808297796487621945964672599438561530971726443252371894412664945767152158370098877353111411095932045862509024040532473135345298095475940591331861923500499205052600970396414026896553377782125760050500884335701268811493501107736084653218390218420004072495428017227589890517600654576727500931419522539461698951934091197220511082029019715950507506733667833099114270341275179640884256195757768952612485980125052893593452657269318714782700391396491973114417528974371532650180220580094229344287726267337498661037907419371702921166885304629375418227056042077422352666128772979148419549777995193125250420526095815750839297805673146635973290770930749884588302026850605578144776676214235980890081147624456951918742103147612881021002215943856700418568106893590622224267837078072072748977616486986045309681505017194455634116132020501332051294921196476787681990393278377517651568728637024019757739448305296180864312646772066684585867200056301269374183232005576703053884235478304845741114653365412780756218293958327318074431347051115657130253242544128664966179120748539830257380758710666894748998054565563318651020825936387246804396178606798879146942850991911922188008951041875372151393355511507995602050841599735019004388249318138573414966235876009868200765633765400820049344898207925542879081023162746312189491927469587108876925664998599061501226234916361448488344266808384001920106707763400587858455732620788319528687918541924755336697058923225592348542211559279552025425768629184354220516131785163214508533937113993165698199837178250795323655409862863557160641450247077161998150469668273130393590618790214024392489973497506493869394828575931071162611257928869857348870737034081153352617753706314657833674697808643130937193380618205179196653978084809156127477912471505586519426184247714046649877057432255910369070329791257364495820490468582934346562258196437019076870658612734863874224029691315828528287388416302015396034910811071860961459281828159271021090568078014012661155014587977059931649186490219382979816024648360221660851277811941627948728143363265823603413141330160902828929779711131504228339688197230380279360241583007629408304930134350613396633535868136489654878001464184196212819118561728353737678555487253516073345801361578256597830356385246166105399957914516757385437730136599470079998137571248194861733763844378591358919468707116685961897918176994355070966368919340204133368763760978789707610839435213523999507728880517293736563153732943792356744333891972771730199329138132722719620375041989605312753501101540025513260679242001597330134326671583964583557134242039992112839
Errors (if any) and Timing Info:
Timing:
real 0m0.115s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host 220-136-169-134.dynamic.hinet.net. (220.136.169.134)
Time: Wed Aug 4 23:19:26 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 220-136-169-134.dynamic.hinet.net. (220.136.169.134)
Time: Wed Aug 4 23:20:55 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Aug 5 00:08:32 2004
Input: gcd(870,248)
gcd(1335,870)
gcd(713,248)
Output: 2
15
31
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pool-151-201-144-9.phil.east.verizon.net. (151.201.144.9)
Time: Thu Aug 5 00:09:52 2004
Input: 1+1
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host cpe-069-134-032-076.carolina.rr.com. (69.134.32.76)
Time: Thu Aug 5 01:23:31 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 5 01:59:01 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*45817*298290431*P*257*787);
print(N);
Output: 24626090101122324726603246546644381725032623963377419820023155645810725964634759573616391323842284494263168236611799042026438817694201737083216717504921447758253141563672386932809504070397509014132296712617234198556445957307994687823661163401229266221305052222679182235889240068311862184666811591148905610622863728455886474428205790174279095229483975219535855777148326406265292948224627253788502304071072695605187900923532127306360367879962673065498395957814565662302254912947156179360236561577296152260389926079202098452252464930467105309727861619162194643204018654817960600698207090239173117751610599664126342014402222544212966130896363043638298860394236100395599234924316095922274316424215297476966605102330575928199262364514503117294051489444311855225341125809700401178710984339938087482338352741832637384305453278141783485203508754323952446103696853766530402105412177114352026081669403558865934004257670404630196319338627260571505079440267301037444430830496037731205734188994615436151168576194883641254105018301056456237427061591824761002977710813825348230417853609571837191027366260564068927600699551157677307693242332511381557999701862225829709418223718509579399265053755366800329444420837986647195821401689201448428841003923118279656543805682084145918444740568777613834202547794745988926928011362560976668994849891909513383026212237961759028630137206091621656536299587296763269260810904168065564346448956782036869524348733161570539831358996622180833221938075886714216672111442764113590028518606226057748906011055533487382301662317830618897615834257077390592540754273323347260644135609628432248117872376396681912725986530545019095290966701685126597586916039805008412366261486462373878925128926617498539120730141746217994236008604376797927739604101015035456030482570284793287698955566299820914297241364362789123909347698833149369507997539943078187451026309104873178096722351930548200771437895869942552207292377585445224011384665309459338705554780732519229299458352621396288481215609732822973886809246527252243450207911889417033284150541574166381414787055044452291417777210238524690623507726948606528883969954766033465736072014060820381723972119538141682689331506762294465815852388987717769711122472209927683814257256565752924657590162553550358326479102027889603061383417015863616845490314031853362195769881766110705398595407541504279133021018594164799839786232777823794558250365330839404314082429708787585586452981526749317528636018619559562276555650897258346630168064764771549695476339103511013508191737414669835778174685302991751383774947930033364177510996563703394208199029353019996665594704938639307590992983635128386157898383114372123155777966965576160185377889548836869741366648063416771243128237675602526047436842303128247949487518651386643224088725145886354423145675053115451050448490079623591420208404319147678073079466505938664584624965273623482473600426819787318565915995892105321201542719630670136466136134064186005222908643670944595828266768375845496865965898345862820129090200574518138546102832601360442444359646189071869501560243775561836943011672313006517614376148403571235479051045628279268657859872728222582175304247196732132456856599308157892191130985013859343684854918527081214384547206150350594924278808907585992284763592758437847103435380196449764627494236322407863050700983389263954299797386620002284148568482754790152922863819462566521151579559546555018980438860852343984890621
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.100s
sys 0m0.010s
************** PARI *****************
Host 220-136-169-134.dynamic.hinet.net. (220.136.169.134)
Time: Thu Aug 5 03:46:44 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 220-136-169-134.dynamic.hinet.net. (220.136.169.134)
Time: Thu Aug 5 03:47:20 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 220-136-169-134.dynamic.hinet.net. (220.136.169.134)
Time: Thu Aug 5 04:14:31 2004
Input: Factorization(200^64+1)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factorization(200^64
^--------------------
Timing:
real 0m0.135s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host gw.snn.com.pl. (217.8.161.98)
Time: Thu Aug 5 07:20:46 2004
Input: 2+32
Output: 34
Errors (if any) and Timing Info:
Timing:
real 0m0.122s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 5 17:52:54 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*257*787*45817*298290431*P)
Output: 24626090101122324726603246546644381725032623963377419820023155645810725964634759573616391323842284494263168236611799042026438817694201737083216717504921447758253141563672386932809504070397509014132296712617234198556445957307994687823661163401229266221305052222679182235889240068311862184666811591148905610622863728455886474428205790174279095229483975219535855777148326406265292948224627253788502304071072695605187900923532127306360367879962673065498395957814565662302254912947156179360236561577296152260389926079202098452252464930467105309727861619162194643204018654817960600698207090239173117751610599664126342014402222544212966130896363043638298860394236100395599234924316095922274316424215297476966605102330575928199262364514503117294051489444311855225341125809700401178710984339938087482338352741832637384305453278141783485203508754323952446103696853766530402105412177114352026081669403558865934004257670404630196319338627260571505079440267301037444430830496037731205734188994615436151168576194883641254105018301056456237427061591824761002977710813825348230417853609571837191027366260564068927600699551157677307693242332511381557999701862225829709418223718509579399265053755366800329444420837986647195821401689201448428841003923118279656543805682084145918444740568777613834202547794745988926928011362560976668994849891909513383026212237961759028630137206091621656536299587296763269260810904168065564346448956782036869524348733161570539831358996622180833221938075886714216672111442764113590028518606226057748906011055533487382301662317830618897615834257077390592540754273323347260644135609628432248117872376396681912725986530545019095290966701685126597586916039805008412366261486462373878925128926617498539120730141746217994236008604376797927739604101015035456030482570284793287698955566299820914297241364362789123909347698833149369507997539943078187451026309104873178096722351930548200771437895869942552207292377585445224011384665309459338705554780732519229299458352621396288481215609732822973886809246527252243450207911889417033284150541574166381414787055044452291417777210238524690623507726948606528883969954766033465736072014060820381723972119538141682689331506762294465815852388987717769711122472209927683814257256565752924657590162553550358326479102027889603061383417015863616845490314031853362195769881766110705398595407541504279133021018594164799839786232777823794558250365330839404314082429708787585586452981526749317528636018619559562276555650897258346630168064764771549695476339103511013508191737414669835778174685302991751383774947930033364177510996563703394208199029353019996665594704938639307590992983635128386157898383114372123155777966965576160185377889548836869741366648063416771243128237675602526047436842303128247949487518651386643224088725145886354423145675053115451050448490079623591420208404319147678073079466505938664584624965273623482473600426819787318565915995892105321201542719630670136466136134064186005222908643670944595828266768375845496865965898345862820129090200574518138546102832601360442444359646189071869501560243775561836943011672313006517614376148403571235479051045628279268657859872728222582175304247196732132456856599308157892191130985013859343684854918527081214384547206150350594924278808907585992284763592758437847103435380196449764627494236322407863050700983389263954299797386620002284148568482754790152922863819462566521151579559546555018980438860852343984890621
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.070s
sys 0m0.040s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 5 17:53:07 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*257*787*45817*298290431*P);
print(N);
Output: 24626090101122324726603246546644381725032623963377419820023155645810725964634759573616391323842284494263168236611799042026438817694201737083216717504921447758253141563672386932809504070397509014132296712617234198556445957307994687823661163401229266221305052222679182235889240068311862184666811591148905610622863728455886474428205790174279095229483975219535855777148326406265292948224627253788502304071072695605187900923532127306360367879962673065498395957814565662302254912947156179360236561577296152260389926079202098452252464930467105309727861619162194643204018654817960600698207090239173117751610599664126342014402222544212966130896363043638298860394236100395599234924316095922274316424215297476966605102330575928199262364514503117294051489444311855225341125809700401178710984339938087482338352741832637384305453278141783485203508754323952446103696853766530402105412177114352026081669403558865934004257670404630196319338627260571505079440267301037444430830496037731205734188994615436151168576194883641254105018301056456237427061591824761002977710813825348230417853609571837191027366260564068927600699551157677307693242332511381557999701862225829709418223718509579399265053755366800329444420837986647195821401689201448428841003923118279656543805682084145918444740568777613834202547794745988926928011362560976668994849891909513383026212237961759028630137206091621656536299587296763269260810904168065564346448956782036869524348733161570539831358996622180833221938075886714216672111442764113590028518606226057748906011055533487382301662317830618897615834257077390592540754273323347260644135609628432248117872376396681912725986530545019095290966701685126597586916039805008412366261486462373878925128926617498539120730141746217994236008604376797927739604101015035456030482570284793287698955566299820914297241364362789123909347698833149369507997539943078187451026309104873178096722351930548200771437895869942552207292377585445224011384665309459338705554780732519229299458352621396288481215609732822973886809246527252243450207911889417033284150541574166381414787055044452291417777210238524690623507726948606528883969954766033465736072014060820381723972119538141682689331506762294465815852388987717769711122472209927683814257256565752924657590162553550358326479102027889603061383417015863616845490314031853362195769881766110705398595407541504279133021018594164799839786232777823794558250365330839404314082429708787585586452981526749317528636018619559562276555650897258346630168064764771549695476339103511013508191737414669835778174685302991751383774947930033364177510996563703394208199029353019996665594704938639307590992983635128386157898383114372123155777966965576160185377889548836869741366648063416771243128237675602526047436842303128247949487518651386643224088725145886354423145675053115451050448490079623591420208404319147678073079466505938664584624965273623482473600426819787318565915995892105321201542719630670136466136134064186005222908643670944595828266768375845496865965898345862820129090200574518138546102832601360442444359646189071869501560243775561836943011672313006517614376148403571235479051045628279268657859872728222582175304247196732132456856599308157892191130985013859343684854918527081214384547206150350594924278808907585992284763592758437847103435380196449764627494236322407863050700983389263954299797386620002284148568482754790152922863819462566521151579559546555018980438860852343984890621
Errors (if any) and Timing Info:
Timing:
real 0m0.111s
user 0m0.100s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 5 18:25:39 2004
Input: P = prod(p=2,4001,if(isprime(p),p,1));
N = ((64722880*P+1)*(2*64722880*P+1)*(3*64722880*P+1)-1)/(2^7*3^2*5*257*787*45817*298290431*124564858404384389*P);
print(N);
Output: 197696930069769536871817932854877220895399514055346608413866655868118110839355291859357512143427506765858116639180036509180512957607571101750833896903359791238223868377353061116299470381952265724117255531286643109088009394899961764824397014199251825429899968569581808657139049514107559604520877149746753347388405254221230437364315455106187489196282127030187011222906602736656783219677784795400710228477653622791442033493735176602366721774832435699078032668420073648389370261299698604800621981127648101217410914251507674264961163798057402180970652664197713280106691044795559336139436679494158756317743981384987026145101616088215054731977039906762506128891208557032775769848711369766893217376582337049612931974207265947438348663305507705185093501637883195416441052562796527922727823160079044929748476622618168453154112277107743093865971220727374217520269603167235846833759842391378695614901522747426906173407588435066016950470812734292381319537355662391692355307315053129079384483297130314048749035581946766125324173298871684909982564264641491038888569647913208027440017282929111258013375443171209212042018235631869151654240208676939140850185285507591492629853741741976623546271315155020611328689410877734474941873893902266911750382216910522414291024262318552187029162906132097603521975291437258336753843674093196906668149790286949183697910671066077571689612881325757653694379586138877046574148870647400650468046214963079208605859686613109041079510704815855820555897574090470490697739989080851526063569150932791675857771327668165230524748210557302149461578303882332295916405250863165020406019330470971108425938577951142441230775718428896281470183500377244608338755617241553127830950198276757861399025926997056862031398115473256257351527080834258173677595322945458568835888100970485887084102996514417673391394576290597708690523758791841028060863904533603551364789473914004466447320296571747241545228534160412205145920529362860068466725480713383772785594149291302617920699275067080810869396262754761919881459590436985482238957753657502263395579622663944676940724602519716947861600033490719385061103118266442504496732644944631836804109951338303346865394317868721338837931689731107704872917090785676240293223437280644138726864321558963749616036002641456507711920854007883190434395003032718497214128382235380175827416872111941588865430798503923493881635560633757277933330467622343138493401184809627332156274763120368691673079695477207521280033825435168768695760639460134523268450847630338652173871906802930732770743813105380988272189912088416366130622344021789463289171507463797244052912910612388974403938016723514375975789582431366293323476434690459212481727504532069627540394918689320046657792362034033024250940790684830642452743063267476955146374482062505885328033873715854208489980467362762033044853822210294406881464683099218776237221378279275030132675628711147885883288459239699768818574820957646741569763979204634334839938344420672201277534925524850801369190921792764878618108233103914090677920794540917328828644777835148644101953048585541937057468915708961925501898795924109307656975899715568372300040318016522284169286468736963525853653283810726504141419807862855457965622895416584877553574077457217880068321356566289224955956700697141162902415780471527331516716121847640788124098894130844475991966802637283863054183091022965570202112426287776227458741947531768036778683470293664812120089
Errors (if any) and Timing Info:
Timing:
real 0m0.114s
user 0m0.100s
sys 0m0.020s
************** PARI *****************
Host proxy321.docomo.ne.jp. (210.136.161.233)
Time: Fri Aug 6 00:51:46 2004
Input: 100!
Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host proxy318.docomo.ne.jp. (210.136.161.230)
Time: Fri Aug 6 00:52:52 2004
Input: prime(100)
Output: 541
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host proxy321.docomo.ne.jp. (210.136.161.233)
Time: Fri Aug 6 00:56:58 2004
Input: isprime(2000^(1000)+1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.992s
user 0m20.890s
sys 0m0.110s
************** PARI *****************
Host proxy321.docomo.ne.jp. (210.136.161.233)
Time: Fri Aug 6 00:57:30 2004
Input: 2000^(1000)+1
Output: 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host proxy323.docomo.ne.jp. (210.136.161.235)
Time: Fri Aug 6 00:59:11 2004
Input: factorint(2000^(1000)+1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.010s
user 0m20.860s
sys 0m0.140s
************** PARI *****************
Host proxy308.docomo.ne.jp. (210.136.161.200)
Time: Fri Aug 6 00:59:30 2004
Input: isprime(2000^(10)+1)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 6 02:56:57 2004
Input: (2*1504084599*2^78341+3)/(3*37*79*167)
Output: 2011527761501174590438317383384528909368153497118075546343632304713331700466623568352948958692571731483814773802268806263279700038768181478411312779074514543056937819474928609925455162421351970918419186596567021991324521106501171508937542873382353860007894567875135563645160570695478302941320519045245427605290501634789237401534031023038199479060941483279261679913046572482604971974663132643832776699973225914332353915460713790206888992378725290870427899903472853094001505711616113702713414912738884637621650372104189361544737722845416134573454176821833540061221915072259061069461356919589533896664427867802370079833652041504830278690055938677137542716301660948548529715257378804310352698741707116779333576976080189308097440040358440694894264267183206776208980206762282793305994828222144381104934436446295708563422033843391474539237619879968273666649548097111034513198154824045290124823534559434879122581946808317612130655378765879403197599388006344139882321072203308993787487223705773638243354976712443538159544494362289311814454195923969568968576373238617511711659045675665253151397732535020497307444027579332144200895931286323073658591569523710889937836049352514113447102060172091180272339681418170714697458419531070683836860081612884057504034789271428096290032146535972433644219892987134174175362189893398292650512604532715233906270565816633241614259942053152750761441633840650205266642822651549548366584583813442098447886790096130910873768441215051031563744825503042138952272902542133213357859193080123457892589296008918586347526769991116879192781550223142641083648699721345491770822683645222939124661178574521346596010374900030425352738216734486708442462260994897348746477583876284906047144923486996992927832634334479619747717665088047535036565541357703890504735718780699606201951490877361392760880011142718979757349082023630285153504972917967504011455746888587237577268571100930151817147124785799332105068205354739997832795960398211120480946742111979109116633554222882407556592964435219998873463748143484974700699498695822356100692341226392444579833998559091619050775798274459842312552440050338681015099532514459640996483636260919384779872766681753751714109000765774196958587637371584414276407317034864569540624592820424269914781020721765126160046724443245080114055929002523234326238076625603370816079877339864322275085768907394557424078393704469937773291547850126403067854988479903841515063020168907974216743055843260530992492039638726126930044366912989139744579071102422370483418446199240500509052167339092507339851882743162639269138028916369795964639356159514022360536757924129194581969626974034505362628354578108907123752859398405857480216724446255657234305840077165093941731911713782708300874642495091618527099013317403145463548704707074027329073379254445314005169951326108148388472031087506752665079991331544214125878766752594291947200213724894499345667790803770042718218475305433180452289154791428177148350143318216994241839570321030347744440896901360411892739990272309399723526654792972263749893797552090197823993535938706869757134317960561569510552277034009502463615927597352366613497406977965730212587622575960665386906460420882995867325543297909789644539312024564665649981745199684131434962204562150831703575942952212923991329791987706479163760219669795776924554107598207211508938681001844731794238208318966408854524236067259811635818019408920858845312417962341651389287289024508900172635397154612912769885312832706473054577790410552040450836397018794341311603515347036388863477290293827729650456193551901195706083879617048741450991618026516818816767165050062480923346618848297747916215562292480761083167389400940927952651332906346663643916894178056469663020288250021014600706900535973371679159411547017438829103201906861135805338358334839197034297737397856080769104136223906487900921889887771714046928985671950047670499980763109519483563104857896584388590426123434499483729299130422278672008031787405268525636656034982414568926150339538675302464949616134874464756140323770026995957252753032255646139364336297808266093397126168322269171868568106538183225644678960659816710639237212270421776347514429921817671700586270014955518267341481724127025787819624885792116100325512969990659519038069472199774185245292651921655946719284299108255949651078577608284793923365477682193377040923866805033401745050593861052636305696639285087360766974160398418377908230162683505586378708945026719639871180142941136747155291107781726530194692710518040218793211303582080473965393658541518151154513582177634224420060938350846178416113735001457579141592704383924725064914055398201651256736229980520887664319376547358621049299477280372347623787524502020105326649202554305895756281010099960393962860089712708212757724017241769574945183211371260100123123670673923525823404696469896292126363783138809405986825438632587946756376062871728854377337288989615704401239199302011222237259718922947681113004670187291323615491662195257681555114247642796184639588123100165590403975273480428506687944864753257346668021837772461512662609170783999789517378804108477390692651622707678948355697743433014397743727815589315790897412939341106574647632396651658954850699804492031872906748025320572257175027322852052044903903719485412347874009725857491258357151141910331802984265958352573775496230084634479700232528084177881844754100007884484471695236989948733311982098385413467032297293070939425947868989419254487685624001604503117706907609661848741213438700593173560643779338269058696775635552542415125521420668838738210627909665292762015052393237584584620322311960361343896830105180247712391391581446220664822963861150150219454768266199751191718398023863383474228882858256590592492248175801691934765767234599130755786184534056289886165584230998712708164480969296720731684360122208163988133651246959285963129754520414465060832908426665262638508442186330124548162227330433159223848670249424807019537651453224729350740853114444861550003058088245065309299962742145270482555716316664249068286776508315276721120305845059768870382101996654555718839791023960393393920662137944315608308314335949219742179401447411081096605085751135455192228124417953744240554435120713313792170734379016417203816725515907279211984487049937750454645470787855369954364643864512574594615841670733415028448488788478423083850369429070073628629328221583919465471977451635303789315060039481170829615862376532454177217724154654569792097562780431851176608896936018738438464959254436862459014168278486149867797276760551705880669004478753871763169745901075190401891437261964538385627071691722536944204785897382665955357405642320742222081119723881850442298253139574108521278001679247692964110642281706515700343872395616927290055537153707898249025453173100884039648750504274636897500386842329421931560428824248072059272881205623348841562592072251196313252706544177082243051480770214947277920612432551773975326064938394481607865244765558010887253315324581133408097393861031876836513502960191448323782944310083897122524528930167441102393759551477723875674196812856493625332401781749299169805339397215395518681649662230516690910010874286175099745772554336221367972196140692557764779598791398655276518147295024654858388232357477044914211353121264704581056155663526318186487335739353833338597410918911478781942476724513821500004907454560928300777202344970291193582637381569976441152250617968885094895485955647725254353015753468062068787734020434281080089808686307448213115480410079839964440889038879296509293394951935277372621640704308728620318414570202352670994863493079394095409676383410775454020431414715705572126472428226824346064770665666008042823637273469316915959477582686037886974862082791893778147643815234577752058523486017575848797832583057148088198136375599704150061750747542157911084837284959814029998800780767988559680331954855363418496240932589774352114984747082512152068170836002976917011795056228584138603003681947648703533024756289392283164081989634723253555528371402321698680681868057040436810845708955046666879726564148490217345764163201334242850612198410015677848742451609593428031375061621081215608051508480632310746947846144898333114517798744263920904374671970197335836118278313771646759742993826287349922429554233707771964077256829359979510835441872575183235673714864468252490744706848607724530881089904908080597150207197315869916053839371332474876291326144540323728762556531554996298044713445222686641223054444675246495147205789796909990649448031753206539072075341873834374340456096147914798347531241034112335645070291481749191681655344609034898046135789981703067573717680112710792342907223438619920769808497349588743522247087207411754010179720187328275162428466812861415983805076439723078305749376555677220848945567573566570673537832626232307794958071843923990504658285686526958987277213878205268890022883441075574433838099990255101603724869129535317356163692410400015440189824259503882857980657260895279806541014670247645318650728845075297716516027173978756662229772829489211750053586881470175515532626776648844545356385002677956925712648052929144970119927191919498202557962113130901910337307423130282830654262241241292114558157038677250581778259605521369776653292169396762001444042021167512287625033061856855008684612003222946837298553663612827366801317741124483207942400848425398167385447779459800980653181136467919553172227025117030856177608282778009867277140588434036668902209869492559555832186278606449439679017257851379931252721229676848591944918382203415823613257878087048370208181747797659020420618050803725228193693407766514899656026373825967060278223020201478354902492750085373179895430568252779012029476883872725648625317434009373814051519345446086516805652280885728643289325166017690414337979156507851465111402389689285588428643245167056850363897408207026990879353383092101950981679221864469002196119653432150153336820539748863255758245870720395203683657975306276767458374946581939289048588609717585381380746623540004252487572129837770015481951881381118976047867514824305138618502270975490532923050685642680444923923968168126761383
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.241s
user 0m0.200s
sys 0m0.040s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:27:36 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:28:14 2004
Input: 7^100
Output: 3234476509624757991344647769100216810857203198904625400933895331391691459636928060001
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:28:29 2004
Input: 7^100 mod 2634987236482342
Output:
Errors (if any) and Timing Info: *** unused characters: 7^100mod2634987236482342
^-------------------
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:28:56 2004
Input: mod (7^100 , 2634987236482342)
Output:
Errors (if any) and Timing Info: *** obsolete function: mod(7^100,2634987236
^--------------------
For full compatibility with GP 1.39, type "default(compatible,3)" (you can
also set "compatible = 3" in your GPRC file).
New syntax: mod(x,y) ===> Mod(x,y)
Mod(x,y,{flag=0}): creates the object x modulo y. flag is optional, and can be
0: default, creates on the Pari stack, or 1: creates a permanent object on the
heap.
Timing:
real 0m0.065s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:29:09 2004
Input: Mod (7^100 , 2634987236482342)
Output: Mod(451568897067939, 2634987236482342)
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:29:30 2004
Input: Mod (7^1000, 2634987236482342)
Output: Mod(1105283956862029, 2634987236482342)
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:29:37 2004
Input: Mod (7^100000, 2634987236482342)
Output: Mod(58261572004867, 2634987236482342)
Errors (if any) and Timing Info:
Timing:
real 0m0.099s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:30:19 2004
Input: Mod (9^(9^9), 1000000000)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.998s
user 0m20.930s
sys 0m0.070s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:30:34 2004
Input: Mod (9^10000, 1000000000)
Output: Mod(104400001, 1000000000)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:30:39 2004
Input: Mod (9^100000, 1000000000)
Output: Mod(44000001, 1000000000)
Errors (if any) and Timing Info:
Timing:
real 0m0.110s
user 0m0.090s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:30:47 2004
Input: Mod (9^1000000, 1000000000)
Output: Mod(440000001, 1000000000)
Errors (if any) and Timing Info:
Timing:
real 0m2.369s
user 0m2.330s
sys 0m0.040s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 03:31:27 2004
Input: Mod (9^5000000, 1000000000)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.997s
user 0m20.920s
sys 0m0.080s
************** PARI *****************
Host 3(NXDOMAIN) (62.102.247.231)
Time: Fri Aug 6 04:56:34 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (212.31.235.43)
Time: Fri Aug 6 06:33:53 2004
Input: 123!
Output: 12146304367025329675766243241881295855454217088483382315328918161829235892362167668831156960612640202170735835221294047782591091570411651472186029519906261646730733907419814952960000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.168s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 08:45:41 2004
Input: 100!
Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.068s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 08:45:49 2004
Input: 1000!
Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 08:46:03 2004
Input: 1000#
Output:
Errors (if any) and Timing Info: *** unused characters: 1000#
^-
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 08:46:20 2004
Input: 1000#
Output:
Errors (if any) and Timing Info: *** unused characters: 1000#
^-
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 62-2-79-21.business.cablecom.ch. (62.2.79.21)
Time: Fri Aug 6 08:46:34 2004
Input: 1000!
Output: 402387260077093773543702433923003985719374864210714632543799910429938512398629020592044208486969404800479988610197196058631666872994808558901323829669944590997424504087073759918823627727188732519779505950995276120874975462497043601418278094646496291056393887437886487337119181045825783647849977012476632889835955735432513185323958463075557409114262417474349347553428646576611667797396668820291207379143853719588249808126867838374559731746136085379534524221586593201928090878297308431392844403281231558611036976801357304216168747609675871348312025478589320767169132448426236131412508780208000261683151027341827977704784635868170164365024153691398281264810213092761244896359928705114964975419909342221566832572080821333186116811553615836546984046708975602900950537616475847728421889679646244945160765353408198901385442487984959953319101723355556602139450399736280750137837615307127761926849034352625200015888535147331611702103968175921510907788019393178114194545257223865541461062892187960223838971476088506276862967146674697562911234082439208160153780889893964518263243671616762179168909779911903754031274622289988005195444414282012187361745992642956581746628302955570299024324153181617210465832036786906117260158783520751516284225540265170483304226143974286933061690897968482590125458327168226458066526769958652682272807075781391858178889652208164348344825993266043367660176999612831860788386150279465955131156552036093988180612138558600301435694527224206344631797460594682573103790084024432438465657245014402821885252470935190620929023136493273497565513958720559654228749774011413346962715422845862377387538230483865688976461927383814900140767310446640259899490222221765904339901886018566526485061799702356193897017860040811889729918311021171229845901641921068884387121855646124960798722908519296819372388642614839657382291123125024186649353143970137428531926649875337218940694281434118520158014123344828015051399694290153483077644569099073152433278288269864602789864321139083506217095002597389863554277196742822248757586765752344220207573630569498825087968928162753848863396909959826280956121450994871701244516461260379029309120889086942028510640182154399457156805941872748998094254742173582401063677404595741785160829230135358081840096996372524230560855903700624271243416909004153690105933983835777939410970027753472000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host D5E0B642.kabel.telenet.be. (213.224.182.66)
Time: Fri Aug 6 12:30:31 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 6 23:46:41 2004
Input: ((272190092*4003#)/35+6)/(2*3*10909)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: ((272190092*4003
*** #)/35+6)/(2*3*10909)
^--------------------
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 6 23:48:18 2004
Input: P = prod(2, 4003, if(isprime(p), p, 1));
((272190092*P)/35+6)/(2*3*10909)
Output: 136095046/1145445*P + 1/10909
Errors (if any) and Timing Info: *** variable name expected: P=prod(2,4003,if(isprime(p)
^--------------------
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 6 23:48:36 2004
Input: P = prod(2, 4003, if(isprime(p), p, 1));
N = ((272190092*P)/35+6)/(2*3*10909);
print(N);
Output: 136095046/1145445*P + 1/10909
Errors (if any) and Timing Info: *** variable name expected: P=prod(2,4003,if(isprime(p)
^--------------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 6 23:49:22 2004
Input: P=prod(p=2,4003,if(isprime(p),p,1));
N = ((272190092*P)/35+6)/(2*3*10909);
print(N);
Output: 7383923299210820784059156928995243376415834224990717421306889651109706562235411359360322072395284223250422390049818795928684017833032211402696013600207454681475541231612984469380233157145413321294994319565405086793528369668409325661431614017893829665716050911684717078011439663642461590963432275584834522043337837005582173362795871076792975771490299741540820901789418553377738651650363303622356096518765146781687000523378962216985155554641100755086744477622744753476221225401717437440290577936282595211376377808323765919748372154258699198883913413101407104083114312971630566675879774271483365472648181807220499869495314198417015153944605205093140728751197733171274984826501755997180578389456027135629118192181770543839433088355595537230780146951729871485132323972710206804966641333821575071176143852103686473731886408688739287840219461415600601741401522152742903648970225384844619780886142394126431513251810110643526765043827165208553583566215849676243091076249054862579431114763002093995881531229334213045979104616481153872243322854793510118107067122500203054758526528342056175773495550501526144927183930932791988551350391426767984623881623602938300776790311157738387753416726728899586628184843456860480782090380338227294593726024062140744107486916098804343505532150507364980313856828296980109154101542987986402105245017301381961400177037115804817594621473282667334598944376447155616199644542807774671107570692291310408225446995902443323196498020923121986591823725749524210937079359562034318858260523898214658251018305181879656470270914125876131325122690271230288487413241783487907531692487143402072311982116053649985902009414622083475685439970606910666358813814340424318510439069814615460105566481286939417
Errors (if any) and Timing Info:
Timing:
real 0m0.106s
user 0m0.060s
sys 0m0.050s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:23:21 2004
Input: PI
Output: PI
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:24:11 2004
Input: PI(05:40) gp > #
timer = 1 (on)
(05:40) gp > p2000
realprecision = 2003 significant digits (2000 digits displayed)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: PI(05:40)gp>#
^--------
*** unused characters: timer=1(on)
^----
*** expected character: ')' instead of: (05:40)gp>p2000
^------------
*** unused characters: Timing:
realprecision=2003significantdigits(20
^--------------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:24:49 2004
Input: PI(05:40) gp > #
timer = 1
(05:40) gp > p2000
realprecision = 2003 significant digits (2000 digits displayed)
Output: 1
Errors (if any) and Timing Info: *** expected character: ',' instead of: PI(05:40)gp>#
^--------
*** expected character: ')' instead of: (05:40)gp>p2000
^------------
*** unused characters: Timing:
realprecision=2003significantdigits(20
^--------------------
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:25:09 2004
Input: gp > #
timer = 1
gp > p2000
realprecision = 2003 significant digits (2000 digits displayed)
Output: 1
Errors (if any) and Timing Info: *** unexpected character: gp>#
^-
*** incorrect type in comparison.
*** unused characters: Timing:
realprecision=2003significantdigits(20
^--------------------
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:25:24 2004
Input:
timer = 1
gp > p2000
realprecision = 2003 significant digits (2000 digits displayed)
Output: 1
Errors (if any) and Timing Info: *** incorrect type in comparison.
*** unused characters: Timing:
realprecision=2003significantdigits(20
^--------------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:25:58 2004
Input:
timer = 1
gp > p2000
realprecision = 2003
Output: 1
2003
Errors (if any) and Timing Info: *** incorrect type in comparison.
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:26:41 2004
Input:
timer = 1
gp > PI
gp > p2000
realprecision = 2003
Output: 1
2003
Errors (if any) and Timing Info: *** incorrect type in comparison.
*** incorrect type in comparison.
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:26:51 2004
Input:
timer = 1
gp > PI
gp > p2000
Output: 1
Errors (if any) and Timing Info: *** incorrect type in comparison.
*** incorrect type in comparison.
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ip68-101-156-44.sd.sd.cox.net. (68.101.156.44)
Time: Sat Aug 7 00:26:59 2004
Input:
timer = 1
PI
gp > p2000
Output: 1
PI
Errors (if any) and Timing Info: *** incorrect type in comparison.
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host m111.net195-132-156.noos.fr. (195.132.156.111)
Time: Sat Aug 7 15:16:09 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.251s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host m111.net195-132-156.noos.fr. (195.132.156.111)
Time: Sat Aug 7 15:16:33 2004
Input: 1+2
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host m111.net195-132-156.noos.fr. (195.132.156.111)
Time: Sat Aug 7 15:16:41 2004
Input: 1+200!
Output: 788657867364790503552363213932185062295135977687173263294742533244359449963403342920304284011984623904177212138919638830257642790242637105061926624952829931113462857270763317237396988943922445621451664240254033291864131227428294853277524242407573903240321257405579568660226031904170324062351700858796178922222789623703897374720000000000000000000000000000000000000000000000001
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host m111.net195-132-156.noos.fr. (195.132.156.111)
Time: Sat Aug 7 15:17:05 2004
Input: 1+sqrt(2)
Output: 2.414213562373095048801688724
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host m111.net195-132-156.noos.fr. (195.132.156.111)
Time: Sat Aug 7 15:17:21 2004
Input: 1+sqrt(2^750
)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: 1+sqrt(2^750
^
*** unused characters: )
^-
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host m111.net195-132-156.noos.fr. (195.132.156.111)
Time: Sat Aug 7 15:17:29 2004
Input: 1+sqrt(2^750)
Output: 7.695704335233296721148250019 E112
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host adsl-69-108-41-75.dsl.sndg02.pacbell.net. (69.108.41.75)
Time: Sat Aug 7 16:09:43 2004
Input: 1/3
Output: 1/3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host adsl-69-108-41-75.dsl.sndg02.pacbell.net. (69.108.41.75)
Time: Sat Aug 7 16:10:20 2004
Input: 1.0 / 3.0
Output: 0.3333333333333333333333333333
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host adsl-69-108-41-75.dsl.sndg02.pacbell.net. (69.108.41.75)
Time: Sat Aug 7 16:17:39 2004
Input: p 100
Output: p100
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host adsl-69-108-41-75.dsl.sndg02.pacbell.net. (69.108.41.75)
Time: Sat Aug 7 16:19:01 2004
Input: 4 * sumalt(k=0, (-1)^k/(2*k + 1))
Output: 3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host adsl-69-108-41-75.dsl.sndg02.pacbell.net. (69.108.41.75)
Time: Sat Aug 7 16:19:13 2004
Input: p 100
4 * sumalt(k=0, (-1)^k/(2*k + 1))
Output: p100
3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host adsl-69-108-41-75.dsl.sndg02.pacbell.net. (69.108.41.75)
Time: Sat Aug 7 16:38:04 2004
Input: 4 * sumalt(k=0,(-1)^k/(2*k + 1))
Output: 3.141592653589793238462643383
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host adsl-68-121-218-202.dsl.snfc21.pacbell.net. (68.121.218.202)
Time: Sat Aug 7 22:29:41 2004
Input: integers (2772) !1/5; 1109=d
(integers (2881 !504)^1109;
Output:
Errors (if any) and Timing Info: *** unused characters: integers(2772)!1/5;1109=d
^----------
*** expected character: ',' instead of: (integers(2881!504)^1109;
^----------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host adsl-68-121-218-202.dsl.snfc21.pacbell.net. (68.121.218.202)
Time: Sat Aug 7 22:29:58 2004
Input: integers(2772)!1/5;1109=d
(integers(2881!504)^1109;
Output:
Errors (if any) and Timing Info: *** unused characters: integers(2772)!1/5;1109=d
^----------
*** expected character: ',' instead of: (integers(2881!504)^1109;
^----------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ma-dual72-73.mtholyoke.edu. (138.110.72.73)
Time: Sun Aug 8 04:10:02 2004
Input: factor(39858075)
Output:
[3 13]
[5 2]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host e123088.upc-e.chello.nl. (213.93.123.88)
Time: Sun Aug 8 15:49:43 2004
Input: 1+3
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.255s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host ckc-114-209.Reshall.Berkeley.EDU. (169.229.114.209)
Time: Mon Aug 9 00:10:25 2004
Input: Factorization(2881);
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Factorization(2881);
^--------------------
Timing:
real 0m0.185s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ckc-114-209.Reshall.Berkeley.EDU. (169.229.114.209)
Time: Mon Aug 9 00:28:59 2004
Input: Integers(1927)! (902^2+1) ;
Output:
Errors (if any) and Timing Info: *** unused characters: Integers(1927)!(902^2+1);
^----------
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ckc-114-209.Reshall.Berkeley.EDU. (169.229.114.209)
Time: Mon Aug 9 00:31:47 2004
Input: Integers(1927)! (1273^2+1) ;
GCD(26-5,1927);
GCD(1631-26,1927);
GCD(1850-1631,1927);
Output:
Errors (if any) and Timing Info: *** unused characters: Integers(1927)!(1273^2+1);
^-----------
*** unknown function or error in formal parameters: GCD(26-5,1927);
^---------------
*** unknown function or error in formal parameters: GCD(1631-26,1927);
^------------------
*** unknown function or error in formal parameters: GCD(1850-1631,1927);
^--------------------
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ckc-114-209.Reshall.Berkeley.EDU. (169.229.114.209)
Time: Mon Aug 9 00:32:44 2004
Input: Integers(1927)! (149^2+1) ;
GCD(26-5,1927);
GCD(1631-26,1927);
GCD(105-902,1927);
Output:
Errors (if any) and Timing Info: *** unused characters: Integers(1927)!(149^2+1);
^----------
*** unknown function or error in formal parameters: GCD(26-5,1927);
^---------------
*** unknown function or error in formal parameters: GCD(1631-26,1927);
^------------------
*** unknown function or error in formal parameters: GCD(105-902,1927);
^------------------
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host q174084.ap.plala.or.jp. (220.99.174.84)
Time: Mon Aug 9 12:34:53 2004
Input: factor(18272483111100886415621718646609)
Output:
[18272483111100886415621718646609 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.086s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host q174084.ap.plala.or.jp. (220.99.174.84)
Time: Mon Aug 9 12:35:00 2004
Input: factor(15904928508226266154222347295244079475097632916793327874442395241)
Output:
[15904928508226266154222347295244079475097632916793327874442395241 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.082s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host c-66-41-32-201.mn.client2.attbi.com. (66.41.32.201)
Time: Tue Aug 10 00:57:57 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host d141-76-144.home.cgocable.net. (24.141.76.144)
Time: Tue Aug 10 01:25:33 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host byu151078wks.byu.edu. (128.187.91.46)
Time: Tue Aug 10 01:55:45 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host user-12l2jjt.cable.mindspring.com. (69.81.78.125)
Time: Wed Aug 11 16:05:20 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (149.156.65.173)
Time: Thu Aug 12 07:03:41 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.130s
user 0m0.010s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (149.156.65.173)
Time: Thu Aug 12 07:03:58 2004
Input: a:=2;
b:=3;
print a+b;
Output:
Errors (if any) and Timing Info: *** unexpected character: a:=2;
^---
*** unexpected character: b:=3;
^---
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host t131112.ap.plala.or.jp. (220.220.131.112)
Time: Thu Aug 12 10:20:22 2004
Input: factor(20340435765872929924195496749772356003903484474400699753398423363)
Output:
[20340435765872929924195496749772356003903484474400699753398423363 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.089s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host t131112.ap.plala.or.jp. (220.220.131.112)
Time: Thu Aug 12 10:20:28 2004
Input: factor(152458436617826712499433931140047)
Output:
[152458436617826712499433931140047 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 17:59:07 2004
Input: (5886557495702077415484741761468087758920994994877)/(3*4987)
Output: 393460162803427405620262132308541391546086157
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 18:18:05 2004
Input: ((5886557495702077415484741761468087758920994994877*31#*2^5000+1)*(5886557495702077415484741761468087758920994994877*31#*2^5001+1)*(17659672487106232246454225284404263276762984984631*31#*2^5002+1)-1)/(3^2*4987*393460162803427405620262132308541391546086157*31#*2^5001)
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: ...1468087758920994994877*31
*** #*2^5000+1)*(5886557
^--------------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 18:19:20 2004
Input: P=prod(p=2,31,if(isprime(p),p,1));
N=((5886557495702077415484741761468087758920994994877*P*2^5000+1)*(5886557495702077415484741761468087758920994994877*P*2^5001+1)*(17659672487106232246454225284404263276762984984631*P*2^5002+1)-1)/(3^2*4987*393460162803427405620262132308541391546086157*P*2^5001);
print(N);
Output: 222464220322822238451472150628900985347702402401193310613334949891985028494285577716527200943310912805647656489920192758435040534922062390164515472503230114835320759163376150957788924907871480765249920735245748906270814397269446354052716055331536678140769649397190602595023343096716897552788391124520045570495897667249070551124112351449464416623438665204873689418419487543158370426354571391656141741095123510810061641338059991827279634923443691076415945746018823057920665931402461388134674137899413931216307529561606220778708841282158682448878310389215170736138128843831844984170719497051286002017689873225205114270554496986036774520173713499381444047639845074809298753470130972401140361989134124974968669803430113171524247113977959678337943574006612065825218605021622262895595986409505757314945246648754807519007631164758428924043661979170141148656971815295768637099845797096263130933871760640430378156159287085746821767399732023383833470986042682421742172460833329633622373422077211549979925059870762160199446085749403499941541828660908708142881230909088337906127519501388940151030117042528048636068840405794114047813083466960450037778716996574640785630846599288490882167908075272765207483924207039925160416041125936840057584358134256103836948441733675633034099231334873353231100224825946483981925257219021011609028804073398283999352983776916711187314011948382407424821065982061358445494619996539584668071962644500491711823665405215400103863446404253073529922535228961063003864459577437239784968120419604968305356160392774657688142022826498232628369672767999029455193890106266142197825306807798613164605881743050537181864880213920003270544468349227584744484332330278713279644146844701065267304404743090598014470203256375008963232542128433415472539124464079842046082313654155096021728538069236914472444814468395639450360280014915807498549140442559065999596492469191751867138385724927505712700472844448542586455516926047223480151780364341308921919372291071030866534164913703588542159702959561229500845782423898271995396968497822639443634016164761426424526599762279621089580603367307877731010956622916799522865440401987178351398137598528417395834935206757787938239425112864682238526440514656139052376778399620658433398858983443766377089490122678612077163562998630440308870386468004983487409906496256182046322444429423039120415671069179342987293414101323763067414805920115472655204292233479911213881046725229371124804276280039533885422386260094616861065535617898153158388102102456203275532813534854955321249056136654185930223310569566232113542914717577859785420201278093464731308561456017738761127881283136618077851051227685070737781080497243975569702604415953547816898325997822724679350872483762668366285759087182672637284574655837100902706257614192022107929881067324198870545156497942492032403296150107141846864293497270782972487027989641848557041842061592606596440892323756777878897570690066380478353292782629713119065237929100278988364236472224505721739848011376230783829515416391733877604063913987462223358194995304773931340695870734849509552950479658470791041114320251992153746935724249890858314884516505264438149790054492405765/2
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 18:54:27 2004
Input: P=prod(p=2,31,if(isprime(p),p,1));
N=((5886557495702077415484741761468087758920994994877*P*2^5000+1)*(5886557495702077415484741761468087758920994994877*P*2^5001+1)*(17659672487106232246454225284404263276762984984631*P*2^5002+1)-1)/(3*4987*393460162803427405620262132308541391546086157*P*2^5000);
print(N);
Output: 667392660968466715354416451886702956043107207203579931840004849675955085482856733149581602829932738416942969469760578275305121604766187170493546417509690344505962277490128452873366774723614442295749762205737246718812443191808339062158148165994610034422308948191571807785070029290150692658365173373560136711487693001747211653372337054348393249870315995614621068255258462629475111279063714174968425223285370532430184924014179975481838904770331073229247837238056469173761997794207384164404022413698241793648922588684818662336126523846476047346634931167645512208414386531495534952512158491153858006053069619675615342811663490958110323560521140498144332142919535224427896260410392917203421085967402374924906009410290339514572741341933879035013830722019836197475655815064866788686787959228517271944835739946264422557022893494275286772130985937510423445970915445887305911299537391288789392801615281921291134468477861257240465302199196070151500412958128047265226517382499988900867120266231634649939775179612286480598338257248210499824625485982726124428643692727265013718382558504166820453090351127584145908206521217382342143439250400881350113336150989723922356892539797865472646503724225818295622451772621119775481248123377810520172753074402768311510845325201026899102297694004620059693300674477839451945775771657063034827086412220194851998058951330750133561942035845147222274463197946184075336483859989618754004215887933501475135470996215646200311590339212759220589767605686883189011593378732311719354904361258814904916068481178323973064426068479494697885109018303997088365581670318798426593475920423395839493817645229151611545594640641760009811633405047682754233452996990836139838932440534103195801913214229271794043410609769125026889697626385300246417617373392239526138246940962465288065185614207710743417334443405186918351080840044747422495647421327677197998789477407575255601415157174782517138101418533345627759366550778141670440455341093023926765758116873213092599602494741110765626479108878683688502537347271694815986190905493467918330902048494284279273579799286838863268741810101923633193032869868750398568596321205961535054194412795585252187504805620273363814718275338594046715579321543968417157130335198861975300196576950331299131268470368035836231490688995891320926611159404014950462229719488768546138967333288269117361247013207538028961880242303971289202244417760346417965612876700439733641643140175688113374412828840118601656267158780283850583196606853694459475164306307368609826598440604564865963747168409962557790669931708698696340628744152733579356260603834280394193925684368053216283383643849409854233553153683055212213343241491731926709107813247860643450694977993468174038052617451288005098857277261548017911853723967511302708118772842576066323789643201972596611635469493827476097209888450321425540592880491812348917461083968925545671125526184777819789322676971270333636692712070199141435059878347889139357195713787300836965092709416673517165219544034128692351488546249175201632812191741962386670074584985914321794022087612204548528658851438975412373123342960755976461240807172749672574944653549515793314449370163477217295
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 19:13:25 2004
Input: P=prod(p=2,137,if(isprime(p),p,1));
print(P);
Output: 72047817630210000485677936198920432067383702541010310
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:34:04 2004
Input: P=prod(p=37,137,if(isprime(p),p,1));
print(P);
Output: 359232357198119101373966791865659827241387
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:40:01 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16535*P;
print(N);
Output: 5880617588675806516143523220564589073677558660832
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:40:18 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16536*P;
print(N);
Output: 5880617229443449318024421846597797208017731419445
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:40:37 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-165360*P;
print(N);
Output: 5827154833115796440881542612765182249888359240557
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:40:43 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-1653600*P;
print(N);
Output: 5292530869839267669452750274439032668594637451677
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:40:49 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-1653600*P;
print(P);
Output: 359232357198119101373966791865659827241387
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:41:23 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-165360000*P;
print(P);
Output: 359232357198119101373966791865659827241387
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:41:29 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-1653600000*P;
print(P);
Output: 359232357198119101373966791865659827241387
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:41:31 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-1653600000*P;
print(P);
Output: 359232357198119101373966791865659827241387
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:41:46 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16536000*P;
print(N);
Output: -53708762926020044835173108822463144342580437123
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:41:53 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-1653600*P;
print(N);
Output: 5292530869839267669452750274439032668594637451677
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:15 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-2653600*P;
print(N);
Output: 4933298512641148568078783482573372841353250451677
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:22 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-9653600*P;
print(N);
Output: 2418672012254314858461015939513754050663541451677
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:28 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-11653600*P;
print(N);
Output: 1700207297858076655713082355782434396180767451677
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:34 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-41653600*P;
print(N);
Output: -9076763418085496385505921400187360421060842548323
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:39 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-21653600*P;
print(N);
Output: -1892116274123114358026585562874163876233102548323
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:47 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-15653600*P;
print(N);
Output: 263277869065600250217215188319795087215219451677
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:42:52 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16653600*P;
print(N);
Output: -95954488132518851156751603545864740026167548323
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:01 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-15953600*P;
print(N);
Output: 155508161906164519805025150760097139042803351677
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:08 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16053600*P;
print(N);
Output: 119584926186352609667628471573531156318664651677
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:14 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16153600*P;
print(N);
Output: 83661690466540699530231792386965173594525951677
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:18 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16253600*P;
print(N);
Output: 47738454746728789392835113200399190870387251677
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:22 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16353600*P;
print(N);
Output: 11815219026916879255438434013833208146248551677
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:27 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16453600*P;
print(N);
Output: -24108016692895030881958245172732774577890148323
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:36 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16363600*P;
print(N);
Output: 8222895454935688241698766095176609873834681677
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 20:43:40 2004
Input: A=5886557495702077415484741761468087758920994994877;
P=prod(p=37,137,if(isprime(p),p,1));
N=A-16373600*P;
print(N);
Output: 4630571882954497227959098176520011601420811677
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sjcd-dmzweb-ce3.cisco.com. (128.107.253.39)
Time: Thu Aug 12 21:31:11 2004
Input: P=prod(p=53,149,if(isprime(p),p,1));
print(P);
Output: 2426747676075643680887995176007778797901
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:27:58 2004
Input: P=prod(p=53,147,if(isprime(p),p,1));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:28:12 2004
Input: P=prod(p=53,147,if(isprime(p),p,1));
print(P);
Output: 16286897154870091818040236080589119449
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:33:38 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=P*2^18800
A=N-1600000*Q
print(A);
Output: 14213981944205592291151839094417171304924237344101971940038406504624000538389840850883479975056939246164246261219649919505959992993409556710607883984396265641795429675063483776026690373397706704883754345888624078357696231969401073171790717968449139047610601699199888140890761586541578712982822693970363494186963222658881380999241664249647632868328105149533336286434627114718879822495654350793540761494164899158396802472922728110252570289258929061859903814509892621794997604772488289710841683971731166846033838076051063331297484492381714522043492141976950953897948073905449002789166892800332201786610132277888586330825430540030182549650163070536324843150543968557320709120037980927794979802450042626975488821311278450288989238256470618446826144212339750967718828496840809790884549131996312190639364122920781846359198607460662473621262781316658569189047215897561088765700981168810271785146078623279684073735873653164016718429281819919411383894488799532516595403767153270060225515349773636428004714738677455707529506635016922976091146429136373908951187727291476877267379932909011722766168607843335581964099444862509617651729212521941933136113753664456432848881475983750150678450540890831657736571053061751572304529699536734619321639998599511700503561569308974363069486756661134652877002193700078533754627314750351574799972789151029584581925426368525491510218843834736107407233513196806284983202270504523286227729169159810387696547116461854328466149405664167672663500257479908476476668933080183359447688259909470200800932751612724011445684619899374558654542840570866839541427929739261720436289793419777185101258411142533768649027005681059949151047429916095164384770416472784426027383074359984265087470392722512822543751921635320670609989164766466050342507578852881625952904088011439022190794122345910068584891268760925547118949032104159448665375048900783259848252256248430771641608965478644773654419620215410769760526032412636747757202477870666047395276287818598774937085883869068201745938442927374611448711111302006512409035341185943413799066326926895807714111998724516693681695323109499674379535299551257666563062597903676597641984760503848524024093550617678164237203559930592647197268344024705898325131843024303431906856528359524681979908257208804232133029866104600043666592780267585479003139109590007544060355023898209265677183505256088553515132824538255591762924137150543707041251530818284081905865087728323251696752410979909230028478304973592723175541441907050280241519640497781172334067283588220213749039608818904299481953361100767944365171004867606010865871392366378706616825574595845722329059049504502549387971616626696645516382178064115277465976089754837812080520192957192482442399030150183708854746136041737654624682000661417185513569497434600035952402284902093312436256064685196086202704899389559630526864609281114667596731791556410462608144104479355081252930671749011908518602966915419544863534746762739542140673580228432461442965609968279805530951002634790783815079212140264929244072297250454412348577183758194416075304817109539411151792044563397252646030183355096865274295623166173608837047747603897827641135117913026094792617653880803279567103849633411612469772758500327933760449265819168611696962964539197496465875626281090100810333414276802041926470171282888184563853976500606288975309811415903855345090951085906155591736721736524260789500196501309964121435009899223958608018824347491237783913214562881946137298288397287603772121212473169021549938349633372229881838007978859383810412234725242910661588549842375790777218095829356422315583046205688664962771354132818513433300748398478707890818913805577608195999335127711496115790172979163220500448105281849689333033215243637050092452039889553197919159496316261093027149773169357342937918193056765005326287362384098251951083799322468408868162501192264961845985753143876574630189991867883905645119649917418655789144863745073092737755887335521663741468988021783461734740147609829128295654502147393246777257072139525045279457309797649166194839853590178963348228154969525449543398084716403401005617568588164647068900748865719792642829250158037947206175324114993215910430245407250521014903121120218089541885529549812827106537149572519393157557993257655982024698700487270543580110441781795025011382681457180435634049834785048502356891193522807263282146259804626901154509193996309890563422743764668493946404831788029905647743413824504588151927894114885187639540539602831505397785453213223583595732634201104507712587224568565674794711085437668044177787977969614752209230954169216363585765302532781575287013362158098492692957610869310811764501131538859795321520233066108467155975836612382418038346984189843671690252603463876795163932458767996996912630174654471528651665267309440005057199811687710405719143735603150636677993364380297516892885643663493041081912982178020812001091714444225778101483087437951078675279631990002973926396806006505853101155073776145865599476921553984250148899209271729771229174492283810524182685411819638162421952436107972329399123380916448006678970315873168256999997610209896412468118025909107799117750773473788826812977297210192209315998934901524111436648263220024318427789626597262020050341542478694599526886095269250066100661429617872059718392713331278345031912594087516007104999503508338571415455516447392778865515082812675461881120169468934787666047660072799193947856888583563869391376919005827683217470268877708872595181296650408718853450228031138837948518724494069929550394577408768431081196436819711540978727315583269120424997464731383154013325914857525390334740408811459759776559491602046907561661894480293845300577097426660532989166318972101729329620806877477524061978136264204110434140160
1421398194420559229115183909441717130492423734410197194003840650462400053838984085088347997505693924616424626121964991950595999299340955671060788398439626564179542967506348377602669037339770670488375434588862407835769623196940107317179071796844913904761060169919988814089076158654157871298282269397036349418696322265888138099924166424964763286832810514953333628643462711471887982249565435079354076149416489915839680247292272811025257028925892906185990381450989262179499760477248828971084168397173116684603383807605106333129748449238171452204349214197695095389794807390544900278916689280033220178661013227788858633082543054003018254965016307053632484315054396855732070912003798092779497980245004262697548882131127845028898923825647061844682614421233975096771882849684080979088454913199631219063936412292078184635919860746066247362126278131665856918904721589756108876570098116881027178514607862327968407373587365316401671842928181991941138389448879953251659540376715327006022551534977363642800471473867745570752950663501692297609114642913637390895118772729147687726737993290901172276616860784333558196409944486250961765172921252194193313611375366445643284888147598375015067845054089083165773657105306175157230452969953673461932163999859951170050356156930897436306948675666113465287700219370007853375462731475035157479997278915102958458192542636852549151021884383473610740723351319680628498320227050452328622772916915981038769654711646185432846614940566416767266350025747990847647666893308018335944768825990947020080093275161272401144568461989937455865454284057086683954142792973926172043628979341977718510125841114253376864902700568105994915104742991609516438477041647278442602738307435998426508747039272251282254375192163532067060998916476646605034250757885288162595290408801143902219079412234591006858489126876092554711894903210415944866537504890078325984825225624843077164160896547864477365441962021541076976052603241263674775720247787066604739527628781859877493708588386906820174593844292737461144871111130200651240903534118594341379906632692689580771411199872451669368169532310949967437953529955125766656306259790367659764198476050384852402409355061767816423720355993059264719726834402470589832513184302430343190685652835952468197990825720880423213302986610460004366659278026758547900313910959000754406035502389820926567718350525608855351513282453825559176292413715054370704125153081828408190586508772832325169675241097990923002847830497359272317554144190705028024151964049778117233406728358822021374903960881890429948195336110076794436517100486760601086587139236637870661682557459584572232905904950450254938797161662669664551638217806411527746597608975483781208052019295719248244239903015018370885474613604173765462468200066141718551356949743460003595240228490209331243625606468519608620270489938955963052686460928111466759673179155641046260814410447935508125293067174901190851860296691541954486353474676273954214067358022843246144296560996827980553095100263479078381507921214026492924407229725045441234857718375819441607530481710953941115179204456339725264603018335509686527429562316617360883704774760389782764113511791302609479261765388080327956710384963341161246977275850032793376044926581916861169696296453919749646587562628109010081033341427680204192647017128288818456385397650060628897530981141590385534509095108590615559173672173652426078950019650130996412143500989922395860801882434749123778391321456288194613729828839728760377212121247316902154993834963337222988183800797885938381041223472524291066158854984237579077721809582935642231558304620568866496277135413281851343330074839847870789081891380557760819599933512771149611579017297916322050044810528184968933303321524363705009245203988955319791915949631626109302714977316935734293791819305676500532628736238409825195108379932246840886816250119226496184598575314387657463018999186788390564511964991741865578914486374507309273775588733552166374146898802178346173474014760982912829565450214739324677725707213952504527945730979764916619483985359017896334822815496952544954339808471640340100561756858816464706890074886571979264282925015803794720617532411499321591043024540725052101490312112021808954188552954981282710653714957251939315755799325765598202469870048727054358011044178179502501138268145718043563404983478504850235689119352280726328214625980462690115
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.084s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:42:59 2004
Input: 2^126
Output: 85070591730234615865843651857942052864
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:43:38 2004
Input: N=2^126;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 68783694575364524047803415777352933415
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:43:52 2004
Input: N=2^126;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-2*Q;
print(A);
Output: 52496797420494432229763179696763813966
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:43:58 2004
Input: N=2^126;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-5*Q;
print(A);
Output: 3636105955884156775642471454996455619
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:11 2004
Input: N=2^122;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: -10969985171730428326425007839467741145
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:16 2004
Input: N=2^125;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 26248398710247216114881589848381906983
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:21 2004
Input: N=2^124;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 4980750777688562148420676883896393767
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:27 2004
Input: N=2^123;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: -5653073188590764834809779598346362841
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:32 2004
Input: N=2^124;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 4980750777688562148420676883896393767
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:40 2004
Input: N=2^124;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-2*Q;
print(A);
Output: -11306146377181529669619559196692725682
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:44:51 2004
Input: N=2^124;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 4980750777688562148420676883896393767
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:46:03 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 24807878309445216640992269256903502330435780807093351175447662226927330840
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:47:02 2004
Input: N=4980750777688562148420676883896393767*2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: -6325395599492967521198882312796331915
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:47:10 2004
Input: N=4980750777688562148420676883896393767*4;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 3636105955884156775642471454996455619
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:47:18 2004
Input: N=4980750777688562148420676883896393767*4;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-2*Q;
print(A);
Output: -12650791198985935042397764625592663830
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:47:34 2004
Input: N=4980750777688562148420676883896393767*4;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 3636105955884156775642471454996455619
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:48:28 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-Q;
print(A);
Output: 24807878309445216640992269256903502330435780807093351175447662226927330840
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:48:44 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-4980750777688562148420676883896393767*Q;
print(A);
Output: -56313097360807623411836939445392990662039982787643906809880695521585624094
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:48:50 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-498075077768856214842067688389639376*Q;
print(A);
Output: 16695780742419932635709348386673853057247239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:48:57 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-998075077768856214842067688389639376*Q;
print(A);
Output: 8552332164984886726689230346379293332747239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:03 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1998075077768856214842067688389639376*Q;
print(A);
Output: -7734564989885205091351005734209826116252760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:09 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1098075077768856214842067688389639376*Q;
print(A);
Output: 6923642449497877544885206738320381387847239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:15 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1698075077768856214842067688389639376*Q;
print(A);
Output: -2848495843424177545938934910033090281552760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:19 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1398075077768856214842067688389639376*Q;
print(A);
Output: 2037573303036849999473135914143645553147239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:25 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1498075077768856214842067688389639376*Q;
print(A);
Output: 408883587549840817669112306084733608247239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:32 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1608075077768856214842067688389639376*Q;
print(A);
Output: -1382675099485869282315313662780069531142760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:37 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1508075077768856214842067688389639376*Q;
print(A);
Output: 246014616001139899488709945278842413757239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:43 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1568075077768856214842067688389639376*Q;
print(A);
Output: -731199213291065609593704219556504753182760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:47 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1558075077768856214842067688389639376*Q;
print(A);
Output: -568330241742364691413301858750613558692760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:54 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1538075077768856214842067688389639376*Q;
print(A);
Output: -242592298644962855052497137138831169712760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:49:57 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1538075077768856214842067688389639376*Q;
print(A);
Output: -242592298644962855052497137138831169712760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:03 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1518075077768856214842067688389639376*Q;
print(A);
Output: 83145644452438981308307584472951219267239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:07 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1528075077768856214842067688389639376*Q;
print(A);
Output: -79723327096261936872094776332939975222760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:15 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1519075077768856214842067688389639376*Q;
print(A);
Output: 66858747297568889490267348392362099818239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:19 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1520075077768856214842067688389639376*Q;
print(A);
Output: 50571850142698797672227112311772980369239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:24 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1522075077768856214842067688389639376*Q;
print(A);
Output: 17998055832958614036146640150594741471239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:30 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1526075077768856214842067688389639376*Q;
print(A);
Output: -47149532786521753236014304171761736324760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:34 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1524075077768856214842067688389639376*Q;
print(A);
Output: -14575738476781569599933832010583497426760104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:38 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1523075077768856214842067688389639376*Q;
print(A);
Output: 1711158678088522218106404070005622022239895411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:43 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1523575077768856214842067688389639376*Q;
print(A);
Output: -6432289899346523690913713970288937702260104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:50:52 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-1523375077768856214842067688389639376*Q;
print(A);
Output: -3174910468372505327305666754171113812460104588227714220795818981373535
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:51:05 2004
Input: N=4980750777688562148420676883896393767^2;
Q=prod(p=53,147,if(isprime(p),p,1));
A=N-15233577768856214842067688389639376*Q;
print(A);
Output: 24559770595023140074269623036179624375681573395411772285779204181018626465
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:59:41 2004
Input: N=2^500;
Q=prod(p=53,147,if(isprime(p),p,1));
A=floor(N/Q);
print(A);
Output: 200983071039859538879532387396314286728788953567175343210199808248280154631131963786200875286620933627845112801793
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 22:59:44 2004
Input: N=2^500;
Q=prod(p=53,147,if(isprime(p),p,1));
A=floor(N/Q);
print(A);
Output: 200983071039859538879532387396314286728788953567175343210199808248280154631131963786200875286620933627845112801793
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:01:02 2004
Input: N=2^500;
Q=prod(p=53,147,if(isprime(p),p,1));
A=200983071039859538879532387396314286728788953567175343210199808248280154631131963786200875286620933627845112801793;
B=N-A*Q;
print(B);
Output: 2487324671603839207741850753389217319
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:03:03 2004
Input: N=2487324671603839207741850753389217319^4;
Q=prod(p=53,147,if(isprime(p),p,1));
A=floor(N/Q);
print(A);
Output: 2350128214756202911263567321787886286150328267819741733319836948513340726617285021554256410545604128442649297
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:03:32 2004
Input: N=2487324671603839207741850753389217319^4;
Q=prod(p=53,147,if(isprime(p),p,1));
A=2350128214756202911263567321787886286150328267819741733319836948513340726617285021554256410545604128442649297;
B=N-A*Q;
print(B);
Output: 4139619592397981123001123096591235768
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:06:52 2004
Input: N=4139619592397981123001123096591235768^4;
Q=prod(p=53,147,if(isprime(p),p,1));
B=floor(N/Q);
print(B);
Output: 18030317775268660971255082132202467678848264365600973944194670232213294862867560687373326149632267801159167873
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:07:15 2004
Input: N=4139619592397981123001123096591235768^4;
Q=prod(p=53,147,if(isprime(p),p,1));
A=18030317775268660971255082132202467678848264365600973944194670232213294862867560687373326149632267801159167873;
B=N-Q*A;
print(B);
Output: 13023844264152360726346727468242168999
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:16:02 2004
Input: N=13023844264152360726346727468242168999^2*2^2800;
Q=prod(p=53,147,if(isprime(p),p,1));
B=floor(N/Q);
print(B);
Output: 7973112535664370274339334996169026177990195270142364458741681260225393629736512753646705755119210083933975311106975250210903144664890720320902394429863038263184732915461022340703763255146485977858929752329759309164202632463806519311449227140324347942889811548725757794860249546343585045967924313821432405774389945682799460916312268385362789468434091874494510205071879988186557948320404618537262650219156616622872871385580170401473253929112621038067363786264345976473220636696071607934872770316191678404151549708223634711934457702165416123651121303664985334352196897556086248151738409924830023388442908136673122905949060574318553829023395230761690164967940805926315538907561523886614912340539840611995762791417735164059564347624767434891544799999227526497046790621306975814416867615351511231988446938130985860048974240428324314961731526142985613922166275297415455565587391650342094
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:16:37 2004
Input: N=13023844264152360726346727468242168999^2*4139619592397981123001123096591235768*2^800;
Q=prod(p=53,147,if(isprime(p),p,1));
B=floor(N/Q);
print(B);
Output: 287472959314497712615333793776935441121806616551770441440205492038663282540165655411498702111202833973952629458612007157235339239875197534629812206922742303257553978347786460922611321289413833857902407470350360444554420586217072627198074477602220105716480063862862959364295253102392086208292675313673412226110596302
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:17:18 2004
Input: N=13023844264152360726346727468242168999^2*4139619592397981123001123096591235768*2^800;
Q=prod(p=53,147,if(isprime(p),p,1));
A=287472959314497712615333793776935441121806616551770441440205492038663282540165655411498702111202833973952629458612007157235339239875197534629812206922742303257553978347786460922611321289413833857902407470350360444554420586217072627198074477602220105716480063862862959364295253102392086208292675313673412226110596302
B=N-A*Q;
print(B);
Output: 287472959314497712615333793776935441121806616551770441440205492038663282540165655411498702111202833973952629458612007157235339239875197534629812206922742303257553978347786460922611321289413833857902407470350360444554420586217072627198074477602220105716480063862862959364295253102392086208292675313673412226110596302
13626997038781394231189430966445923170
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:17:24 2004
Input: N=13023844264152360726346727468242168999^2*4139619592397981123001123096591235768*2^800;
Q=prod(p=53,147,if(isprime(p),p,1));
A=287472959314497712615333793776935441121806616551770441440205492038663282540165655411498702111202833973952629458612007157235339239875197534629812206922742303257553978347786460922611321289413833857902407470350360444554420586217072627198074477602220105716480063862862959364295253102392086208292675313673412226110596302
B=N-A*Q;
print(B);
Output: 287472959314497712615333793776935441121806616551770441440205492038663282540165655411498702111202833973952629458612007157235339239875197534629812206922742303257553978347786460922611321289413833857902407470350360444554420586217072627198074477602220105716480063862862959364295253102392086208292675313673412226110596302
13626997038781394231189430966445923170
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:17:29 2004
Input: N=13023844264152360726346727468242168999^2*4139619592397981123001123096591235768*2^800;
Q=prod(p=53,147,if(isprime(p),p,1));
A=287472959314497712615333793776935441121806616551770441440205492038663282540165655411498702111202833973952629458612007157235339239875197534629812206922742303257553978347786460922611321289413833857902407470350360444554420586217072627198074477602220105716480063862862959364295253102392086208292675313673412226110596302;
B=N-A*Q;
print(B);
Output: 13626997038781394231189430966445923170
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:20:34 2004
Input: N=13626997038781394231189430966445923170;
Q=prod(p=53,147,if(isprime(p),p,1));
B=N-Q;
print(B);
Output: -2659900116088697586850805114143196279
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:23:28 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=13626997038781394231189430966445923170*P;
B=floor(N/Q);
print(B);
Output: 514468849826610295
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:23:49 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=13626997038781394231189430966445923170*P;
A=514468849826610295;
B=N-A*Q;
print(B);
Output: 1917109204084235826035512952536842245
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:24:33 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=13626997038781394231189430966445923170*P;
A=514468849826610295;
B=N-A*Q;
print(B);
Output: 1917109204084235826035512952536842245
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:26:06 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=36*1917109204084235826035512952536842245^2;
A=514468849826610295;
B=floor(N/Q);
print(B);
Output: 8123774341773760829300873094369864718
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:26:28 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=36*1917109204084235826035512952536842245^2;
A=8123774341773760829300873094369864718;
B=N-A*Q;
print(B);
Output: 1847629547142114838652981591726340518
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:28:05 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=11*1917109204084235826035512952536842245;
A=8123774341773760829300873094369864718;
B=floor(N/Q);
print(B);
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:28:33 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=11*1917109204084235826035512952536842245;
A=8123774341773760829300873094369864718;
B=N-Q;
print(B);
Output: 4801304090056502268350406397316145246
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:29:16 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=11*1917109204084235826035512952536842245;
A=8123774341773760829300873094369864718;
B=N-Q;
print(B);
Output: 4801304090056502268350406397316145246
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Thu Aug 12 23:29:54 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
Q=prod(p=53,147,if(isprime(p),p,1));
N=11*1917109204084235826035512952536842245;
A=8123774341773760829300873094369864718;
B=N-Q;
print(N);
Output: 21088201244926594086390642477905264695
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:01:46 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
print(vector(10,k,denominator((A*k*k+B*k+1)/Q);
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: ...minator((A*k*k+B*k+1)/Q);
^
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:02:03 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
print(vector(10,k,denominator((A*k*k+B*k+1)/Q)));
Output: [16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 124327459197481616931604855577016179, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449]
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:02:15 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
print(vector(100,k,denominator((A*k*k+B*k+1)/Q)));
Output: [16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 124327459197481616931604855577016179, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 117171921977482674949929755975461291, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 128243284684016471008190835280229287, 16286897154870091818040236080589119449, 161256407473961305129111248322664549, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 161256407473961305129111248322664549, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.020s
sys 0m0.050s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:02:28 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
print(vector(1000,k,denominator((A*k*k+B*k+1)/Q)));
Output: [16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 124327459197481616931604855577016179, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 117171921977482674949929755975461291, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 128243284684016471008190835280229287, 16286897154870091818040236080589119449, 161256407473961305129111248322664549, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 161256407473961305129111248322664549, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 124327459197481616931604855577016179, 128243284684016471008190835280229287, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 117171921977482674949929755975461291, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 2208991883204949385330291072913213, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 124327459197481616931604855577016179, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 128243284684016471008190835280229287, 16286897154870091818040236080589119449, 117171921977482674949929755975461291, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 161256407473961305129111248322664549, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 161256407473961305129111248322664549, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 229392917674226645324510367332241119, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 128243284684016471008190835280229287, 276049104319832064712546374247273211, 16286897154870091818040236080589119449, 124327459197481616931604855577016179, 16286897154870091818040236080589119449, 223108180203699887918359398364234513, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 16286897154870091818040236080589119449, 1628689715487009181804023608058911944
** WARNING: Output too long, hence truncated.
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:24:26 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000, if(s[k]==1), print(k));
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: for(k=1,1000,if(s[k]==1),print(k));
^------------
Timing:
real 0m0.078s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:24:58 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:25:08 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000, if(s[k]==1), print(k));
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: for(k=1,1000,if(s[k]==1),print(k));
^------------
Timing:
real 0m0.083s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:25:26 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000, if(s[k]==1), print(k),);
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: for(k=1,1000,if(s[k]==1
*** ),print(k),);
^-------------
Timing:
real 0m0.080s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:26:18 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000, print(k, if(s[k]==1));
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...1,1000,print(k,if(s[k]==1));
^---
Timing:
real 0m0.081s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:26:38 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000, print(k));
Output: 1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
Errors (if any) and Timing Info:
Timing:
real 0m0.088s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:28:12 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000, if(s[k]==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.081s
user 0m0.070s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:28:21 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(10000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,10000, if(s[k]==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.321s
user 0m0.290s
sys 0m0.040s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:28:51 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
s=vector(1000000,k,denominator((A*k*k+B*k+1)/Q));
for(k=1,1000000, if(s[k]==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.009s
user 0m20.900s
sys 0m0.100s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:29:57 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
for(k=1,1000000, if((A*k*k+B*k+1)/Q)==1, print(k)));
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: ...000000,if((A*k*k+B*k+1)/Q
*** )==1,print(k)));
^----------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:30:52 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
for(k=1,1000000, if(((A*k*k+B*k+1)/Q)==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.997s
user 0m20.950s
sys 0m0.050s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:31:02 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
for(k=1,100000, if(((A*k*k+B*k+1)/Q)==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m2.665s
user 0m2.660s
sys 0m0.010s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:31:44 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
for(k=1,800000, if(((A*k*k+B*k+1)/Q)==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.980s
user 0m20.640s
sys 0m0.330s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Fri Aug 13 00:32:15 2004
Input: Q=prod(p=53,147,if(isprime(p),p,1));
A=1847629547142114838652981591726340518;
B=4801304090056502268350406397316145246;
for(k=1,700000, if(((A*k*k+B*k+1)/Q)==1, print(k)));
Output:
Errors (if any) and Timing Info:
Timing:
real 0m18.361s
user 0m18.300s
sys 0m0.050s
************** PARI *****************
Host trauco.utem.cl. (146.83.180.8)
Time: Fri Aug 13 10:29:15 2004
Input: yufjkk,
Output:
Errors (if any) and Timing Info: *** unused characters: yufjkk,
^-
Timing:
real 0m0.084s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 213.219.184.47.adslpower.by.edpnet.be. (213.219.184.47)
Time: Fri Aug 13 15:09:37 2004
Input: test
Output: test
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 213.219.184.47.adslpower.by.edpnet.be. (213.219.184.47)
Time: Fri Aug 13 15:10:01 2004
Input: 2+3
Output: 5
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Aug 14 02:54:07 2004
Input: factorint((2231^59 - 1)/(2*5*223*709*259666907*3357332933*59353538419519))
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.000s
user 0m20.960s
sys 0m0.040s
************** PARI *****************
Host c-24-6-41-32.client.comcast.net. (24.6.41.32)
Time: Sat Aug 14 02:56:20 2004
Input: factorint((2231^472+1)/(2*8849*168977*33111732097*1047346707857))
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.001s
user 0m20.930s
sys 0m0.070s
************** PARI *****************
Host 3(NXDOMAIN) (147.60.1.194)
Time: Sat Aug 14 06:19:05 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.079s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (211.98.130.10)
Time: Sat Aug 14 06:57:32 2004
Input: p[9]
Output:
Errors (if any) and Timing Info: *** unexpected character: p[9]
^---
Timing:
real 0m0.088s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ppp19a-90070708-088.pt.lu. (213.166.54.88)
Time: Sat Aug 14 10:12:15 2004
Input: 2+4
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ppp19a-90070708-088.pt.lu. (213.166.54.88)
Time: Sat Aug 14 10:12:16 2004
Input: 2+4
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-171-55-190.client.comcast.net. (67.171.55.190)
Time: Sat Aug 14 23:08:16 2004
Input: 1+2
Output: 3
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sven.edvz.uni-linz.ac.at. (140.78.198.112)
Time: Sun Aug 15 06:17:31 2004
Input: 12+2
Output: 14
Errors (if any) and Timing Info:
Timing:
real 0m0.150s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sven.edvz.uni-linz.ac.at. (140.78.198.112)
Time: Sun Aug 15 06:17:43 2004
Input: 129
¹^1
Output: 129
Errors (if any) and Timing Info: *** unexpected character: ¹^1
^---
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host sven.edvz.uni-linz.ac.at. (140.78.198.112)
Time: Sun Aug 15 06:18:14 2004
Input: sqrt(16)
Output: 4.000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sven.edvz.uni-linz.ac.at. (140.78.198.112)
Time: Sun Aug 15 06:18:20 2004
Input: sqrt(1111111111111111111111111)
Output: 1054092553389.459777332964462
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host sven.edvz.uni-linz.ac.at. (140.78.198.112)
Time: Sun Aug 15 06:18:26 2004
Input: sqrt(1111111111111111111111111)
Output: 1054092553389.459777332964462
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-8-195-67.client.comcast.net. (24.8.195.67)
Time: Sun Aug 15 21:30:12 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.243s
user 0m0.050s
sys 0m0.040s
************** PARI *****************
Host c-24-8-195-67.client.comcast.net. (24.8.195.67)
Time: Sun Aug 15 21:30:30 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-8-195-67.client.comcast.net. (24.8.195.67)
Time: Sun Aug 15 21:30:34 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host c-24-8-195-67.client.comcast.net. (24.8.195.67)
Time: Sun Aug 15 21:30:37 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (157.88.83.6)
Time: Mon Aug 16 04:26:17 2004
Input: sim(3);
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: sim(3);
^-------
Timing:
real 0m0.070s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:27:16 2004
Input: (a*x^2 - a*x) / x
Output: a*x - a
Errors (if any) and Timing Info:
Timing:
real 0m0.083s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:28:18 2004
Input: (a1*x^2 + a1*x) / x
Output: a1*x + a1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:28:31 2004
Input: (a1*x^2 + a1*x) / x
Output: a1*x + a1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:29:08 2004
Input: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x + a0) / (b2*x^2 + b1*x + b0)
Output: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x + a0)/(b2*x^2 + b1*x + b0)
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:30:11 2004
Input: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x) / x
Output: a4*x^3 + a3*x^2 + a2*x + a1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:30:20 2004
Input: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x) / (x+1)
Output: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x)/(x + 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:35:46 2004
Input: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x) / (x+1)
Output: (a4*x^4 + a3*x^3 + a2*x^2 + a1*x)/(x + 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:37:23 2004
Input: x^4 + 10*x^3 + 45*x^2 + 105*x + 105) / (a*x^2 + b*x + c)
Output:
Errors (if any) and Timing Info: *** unused characters: ...4+10*x^3+45*x^2+105*x+105)/(a*x^2+b*x+c)
^---------------
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host United-Defense-LP-1065659.cust-rtr.pacbell.net. (69.104.229.186)
Time: Mon Aug 16 13:37:36 2004
Input: (x^4 + 10*x^3 + 45*x^2 + 105*x + 105) / (a*x^2 + b*x + c)
Output: (x^4 + 10*x^3 + 45*x^2 + 105*x + 105)/(a*x^2 + b*x + c)
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (146.244.28.235)
Time: Mon Aug 16 15:47:08 2004
Input: 1+1;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (146.244.28.235)
Time: Mon Aug 16 15:47:42 2004
Input: GolayCode(GF(2),true);
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: GolayCode(GF(2),true);
^------------
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host dhcp228.math.leidenuniv.nl. (132.229.228.228)
Time: Wed Aug 18 09:35:17 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.251s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host xdsl-81-173-179-188.netcologne.de. (81.173.179.188)
Time: Wed Aug 18 12:49:56 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (216.95.198.132)
Time: Wed Aug 18 17:31:40 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (216.95.198.132)
Time: Wed Aug 18 17:31:47 2004
Input: wwww
Output: wwww
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host i115046.ap.plala.or.jp. (218.47.115.46)
Time: Thu Aug 19 10:37:00 2004
Input: factor(497696182350347055977921428273088348975758183194450101962994877260301281773)
Output:
[497696182350347055977921428273088348975758183194450101962994877260301281773 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.333s
user 0m0.060s
sys 0m0.030s
************** PARI *****************
Host i115046.ap.plala.or.jp. (218.47.115.46)
Time: Thu Aug 19 10:37:08 2004
Input: factor(30113967432941796834668647331809)
Output:
[30113967432941796834668647331809 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (200.184.135.51)
Time: Thu Aug 19 12:08:03 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (200.184.135.51)
Time: Thu Aug 19 12:08:30 2004
Input: 2+2
Output: 4
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (200.184.135.51)
Time: Thu Aug 19 12:09:09 2004
Input: f= a + bt
df/dt
Output: a + bt
1/dt*df
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 3(NXDOMAIN) (200.184.135.51)
Time: Thu Aug 19 12:09:59 2004
Input: f= a + bt
g = df/dt
Output: a + bt
1/dt*df
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host chello212186080191.chello.pl. (212.186.80.191)
Time: Thu Aug 19 19:41:33 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Thu Aug 19 20:41:16 2004
Input: lcm(622,189)
Output: 117558
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Thu Aug 19 21:06:48 2004
Input: isprime(8703899764774136816678507061323923)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Thu Aug 19 21:07:07 2004
Input: length(Str(8703899764774136816678507061323923))
Output: WARNING: PARI command contains unsafe command 'Str', so it will not be executed.
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Thu Aug 19 21:07:53 2004
Input: 10303000305235882863366797867550743754974391925665382479203124626479515563407929184055773919956302216754101779681789766793182724869912561723215210727752702549136129036380084071/8703899764774136816678507061323923
Output: 1183722306515238477322353404990165554571189556293683772760565670925584760720391382674985029753203687134962468177223920810068669641783938154077
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Thu Aug 19 21:08:06 2004
Input: isprime(1183722306515238477322353404990165554571189556293683772760565670925584760720391382674985029753203687134962468177223920810068669641783938154077)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.098s
user 0m0.080s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Thu Aug 19 21:08:27 2004
Input: isprime(76468690098771583593942290059909543)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Thu Aug 19 21:08:40 2004
Input: isprime(7638384242412182013299877529053667864745171125083950884624414293619616870192364251523419589623314811157682804583249)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (212.1.84.73)
Time: Fri Aug 20 04:20:45 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host heidelberg.bund.de. (194.95.179.177)
Time: Fri Aug 20 08:35:42 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.246s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Fri Aug 20 08:50:59 2004
Input: isprime(7638384242412182013299877529053667864745171125083950884624414293619616870192364251523419589623314811157682804583249)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Fri Aug 20 08:51:14 2004
Input: isprime(7638384242412182013299877529053667864745171125083950884624414293619616870192364251523419589623314811157682804583249/76468690098771583593942290059909543)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Fri Aug 20 08:51:26 2004
Input: 7638384242412182013299877529053667864745171125083950884624414293619616870192364251523419589623314811157682804583249/76468690098771583593942290059909543
Output: 99889042594374025402694899514466947412647925655202564239997104729770836353270343
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Fri Aug 20 08:51:41 2004
Input: sizedigit(7638384242412182013299877529053667864745171125083950884624414293619616870192364251523419589623314811157682804583249/76468690098771583593942290059909543)
Output: 81
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 172-81.gp.cgocable.ca. (24.226.172.81)
Time: Fri Aug 20 08:51:48 2004
Input: isprime(7638384242412182013299877529053667864745171125083950884624414293619616870192364251523419589623314811157682804583249/76468690098771583593942290059909543)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host pc78.bedzin.sdi.tpnet.pl. (217.96.213.78)
Time: Fri Aug 20 16:12:54 2004
Input: 19191919
Output: 19191919
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host connector.propel.com. (67.72.98.54)
Time: Fri Aug 20 17:23:43 2004
Input: P= S/((P/R)*(1-(1/((1+(R/P))^(N*2)))))
Output:
Errors (if any) and Timing Info: *** negative exponent in glog.
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (211.100.105.110)
Time: Sat Aug 21 07:40:51 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.235s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host host-116-141.rev.vline.pl. (217.76.116.141)
Time: Sat Aug 21 07:50:22 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host host-116-142.rev.vline.pl. (217.76.116.142)
Time: Sat Aug 21 07:51:46 2004
Input: sumalt(k=0, (-1)^k/(2*k + 1))
Output: 0.7853981633974483096156608457
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host host-116-143.rev.vline.pl. (217.76.116.143)
Time: Sat Aug 21 07:52:42 2004
Input: sumalt(k=0, (-1)^(2*k)/(2*k + 1))
Output: 2.663082536587726710146339984
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host pD9E23074.dip.t-dialin.net. (217.226.48.116)
Time: Sat Aug 21 10:51:28 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ip68-7-196-184.sd.sd.cox.net. (68.7.196.184)
Time: Sat Aug 21 14:13:50 2004
Input: sin(x)^2 / cos(x)^2 = 1
Output:
Errors (if any) and Timing Info: *** unexpected character: sin(x)^2/cos(x)^2=1
^--
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip68-7-196-184.sd.sd.cox.net. (68.7.196.184)
Time: Sat Aug 21 14:14:19 2004
Input: Factor(x^2 - 12*x +2)
Output:
Errors (if any) and Timing Info: *** expected character: ',' instead of: Factor(x^2-12*x+2)
^----------
Timing:
real 0m0.073s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:20:58 2004
Input: floor(1847629547142114838652981591726340518/53)
Output: 34860934851738015823641162108044160
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:21:20 2004
Input: 1847629547142114838652981591726340518-53*34860934851738015823641162108044160
Output: 38
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:21:51 2004
Input: floor(4801304090056502268350406397316145246/53)
Output: 90590643208613250346234082968229155
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:22:09 2004
Input: 4801304090056502268350406397316145246-53*90590643208613250346234082968229155
Output: 31
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:44:03 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
N=36*P^2*2^37600;
M=N-53*floor(N/53);
print(M);
Output: 38
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:47:30 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18800;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 38
31
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:47:49 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18700;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 29
19
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:48:21 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18701;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 10
38
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:49:06 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18702;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 40
23
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:50:28 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18703;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 1
46
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:51:35 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18704;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 4
39
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:52:38 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18705;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 16
25
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 18:55:32 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=6*P*2^18705;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 24
40
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:13:27 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18705;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 16
25
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:13:50 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18706;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 11
50
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:14:06 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18707;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 44
47
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:14:43 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18708;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 17
41
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:15:01 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18709;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 15
29
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:15:17 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18710;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 7
5
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:15:32 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18711;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 28
10
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:17:47 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18712;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 6
20
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:18:01 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18713;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 24
40
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:18:17 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18714;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 43
27
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:18:31 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18715;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 13
1
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:18:43 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18716;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 52
2
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:18:49 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18716;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 52
2
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:19:05 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18717;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 49
4
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:19:26 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18718;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 37
8
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:19:42 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18719;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 42
16
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:20:02 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18720;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 9
32
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:20:19 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^13720;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 6
20
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:20:43 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=6*P*2^18720;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 40
30
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:21:10 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=6*P*2^18700;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 17
41
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:21:27 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=6*P*2^18701;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 15
29
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:27:08 2004
Input: P=prod(p=2,41,if(isprime(p),p,1));
B=6*P*2^18701;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 24
13
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:28:52 2004
Input: P=prod(p=2,41,if(isprime(p),p,1));
B=6*P*2^18700;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 6
33
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:29:08 2004
Input: P=prod(p=2,41,if(isprime(p),p,1));
B=6*P*2^18000;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 43
27
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:29:30 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=6*P*2^18000;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 7
48
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:29:54 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18000;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 40
30
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:30:17 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18001;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 1
7
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:30:39 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18002;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 4
14
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:30:55 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18003;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 16
28
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:31:19 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18004;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 11
3
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:31:31 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18005;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 44
6
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:31:43 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18006;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 17
12
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sat Aug 21 19:31:46 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=6*P*2^18006;
N=B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B/6;
Z=A-Q*floor(A/Q);
print(Z);
Output: 17
12
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 65-45-165-133-atl-02.cvx.algx.net. (65.45.165.133)
Time: Sat Aug 21 20:29:14 2004
Input: 4+1/3.14
Output: 4.318471337579617834394904458
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Aug 22 20:37:42 2004
Input: 2047!
Output: 81674410737793540291501585390316222364184912224450027335073500530765379395092865949493245689572359282551703050323064979996861649212698596155847687701098961688875342819752074719321766038351999093990350853188906135792482293757123305600405895774974016839020086283932570664499971660456561226029700897313942126023559386650566152656273119648795621974965271662329572103334301389254625485582727685538979144792627115024247480392423799774162452011351909398954907115531851966143030977789978008518824472185402266809368325067937778997029300786376802907131981702684617001639623982772342515509460488132489279831901759212842060498931366529869267886430050872616712277776501069688953646958170438932976347509035556101887985824032326966517536947288971548598018547087038027748853205656863846155312297143904999657409098933858995420414029311618953596990052421001440885375569798432703540945618516487478387328930621838506722326906754651224438941626561362257024800501711842955944564254155979022439041681406173850620540045079865333616725548544405096912588327993981294076711839163068271424943407772008649938281303754433549921517378525641417098597129361005816928682764466646263685622421974252512992956619961951366233297382038594982680331889876935476649334745207975549756193943764330352007185766346704538149465188157968597364393935756410657236051862746755166349059161614619163206073534333089899750823172607934635982521089088099558634272182385092102856807170963712451311210114341594671953519852386149022541840633398035434958291306084740780655658332142172701069993780912432926900341355375085621419273953100386502748441283230615000780137662732618105107226663612404169816065602550049899638993513246717402094570102662690646245539032191532393463813317021831063300731204181830573825913914763815268826420383214661963090473998393686415697921185319912859772038526328161069605946104773220961106097781791689083354618809098490066895543852120754996843693237348126379997038367393552348989698329319870016191490052419963925469578421706314787746276228056592489703258636411673174757564995588732795901870265561659033244138164625140439117958148420462357631007163226982093218302449847489491315353788010704277959543078518762864740196611109841923315082080704641051133068858928661453029075501162398461001809505723014770657220547778967858219150470508001654491254407273368451057082448384360604048117852658481789006739133800299947593939147968803265943276991853024872658329992425630704424429366971065545066469361641230134027963902547078393521944848034010762382657826895896773043332230038136196616312313762964618874461832049606242130098885527432511799544246481087391104996891665363627463537402784339813665393206052288204702598874487981787682577304535349317214792073687348613049641825981460125238053130481859179783983935227653219764825862908702309932137575639699938316224774186904349162431507802083397387149111654606352533367728589117368610725578322060180499974712808289211761875673514859103250325779282954079104140299042978379061268985098727306559945923097199102474924331075318558569990735544155712929341766942172979918604075380094564210861536038055264097169044158949676218558822794613121679251680988100788582709359816374040856560744987335414627001557622593553926818614251881891057345685330168694477443054079561436781489510883064884384549864425060420886736129670552176831624554938631046593548602984962628238764678148725400356653930727748110783685994599920905127629431636391878416164599061514032007808729544079091460540498097569089550869782195077823577788899554129360036296556621795399134271307904515528391026093532815243200164794315091717376982987892569017245191501342265181255904900143451619489935649327575063275855439582643388701023293383642451976158463685834236131284895518334345294092277982003775941929534210497007790231612709179431016707293934994313855389550051523665008821117502447728381806398067126778445763439246221924647551732407345566215133117872466821794455376953187917072099950381211866888978665163631474160757265417472840508143731759018366811707427958348385784918092597436390467664937290727403404281944170443923660359388649296246582051667874301863783423620704529388224236788153302215371397454889708512075979873976686688148158311522798576010790528844291043329514644915690362506475873617267217126164715817062353924253908262045767654389142199250533740649791845928940872218326141386905436694334701343143263547038925221973425514768257520397468264413219141468200673349251635375782274160603118615715087382477629363560945069317327290243116013529785993729427016261776465356361813944869608138295940218851477129081824510275849380593872557079000843898683252923176257239358959016396044777631639091131914879043319957974881306237324231359123820032736266760641549483994633873346443194472306495243758672225363966251634356579547676549477220567427627206555567039648941705468419295690808680911565388943283312746929265599966919972037492591704387247618258611290331973384297047964339461257193259795835415939457300820819049874547287047341538773022306118368258826291642677868206353479905626636328993163322114523343511544623504056752242738162653635422813732383573993384443513178249767353031821895213905029082484771353227004190295117930860547065801236818129462535285656926880887096379541151853150562522507746077891039440711528862325148651806871800794983432024294598221831449037266658210302586263716097525921172804120493514086114496683069889584242546547097600000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (147.76.180.135)
Time: Sun Aug 22 20:38:26 2004
Input: (2047!)/124
Output: 658664602724141453963722462825130825517620259874596994637689520409398220928168273786235852335260961956062121373573104677394045558166924162547158771783056142652220506610903828381627145470580637854760893977329888191874857207718736335487144320765919490637258760354294924713709448874649687306691136268660823596964188602020694779486073545554803403023913481147819129865599204752053431335344578109185315683811508992131028067680837094952923000091547656443184734802676225533411540143467564584829229614398405377494905847322078862879268554728845184734935336311972717755158257925583407383140810388165236127676627090426145649184930375240881192632500410263038002240133073142652851991598148701072389899266415775015225692129292959407399491510394931843532407637798693772168171013361805210929937880192782255301686281724669317906564752513056077395081067911301942623996530632521802749561439649092567639749440498697634857475054472993745475335698075502072780649207353572225359389146419185664830981301662692343714032621611817206586496359229073362198292967693397532876708380347324769555995223967811693050655675438980241302559504239043686279009107750046910715183584408437610367922757856875104781908225499607792204011145472540182905902337717221585881731816193351207711241481970406064574078760860520468947299904499746752938660772229118203516547280215767470556928722698541638758657534944273385087283650063988999859041041033060956728001470847516958522638475513810091219436405980602193173547196662492117272908333855124475470091178102748231094018807598166944112853071874459087905978672379722753381241557261181473777752284117862909517239215585629879896989222680678788839238730242337900314463816505785500762662118247505211657572840254293495675913846950250510489767775659923982467047699708187651825970832376306153955435470916825933047751494515426288484181663936782819402791167525975492791111143481363575440474266923306991093095581618991910029784172162309516105148124141551201529825236450564646705564938870676818303051787954151514082872806908003949219827712997364312561008028941393515337663431948863171323694876009197089660952809842438367991993251830500751760503627802334607381885387183099015802766762248087618872553315401950994476468392779363315589264991360173008298995977116116620982334723572699763364681836927160146928632826677432697510116187688455250460342325680327452000950424665175717796283337099193125757573773941961822123201547201813489180080584077666971164752959444076976342494851945404306677128246347406399370522968016215825666595378192715911639776048694646746905744465830359829632756710077469694597571657479294449996324568395866057298362029559384092447882280518869465043493597195872618569345761999853126472397617220559009796710271672166234271305048237581655145589761950477256322451090545590481974402120231470241388206255158870470292135275700841525503479901629704817638299287537148004301352649912236843634883696145646616935279942002332352918352205764992768147788542604468379872099185830470798881201492731671827096338089493541148991325250607407730403151093098029942978562636630427257408097382097536808152109161597219871751363259346368356601280828988815497413320007968554746634752901744951942391618911188188827637109335666077047796924308482918476268916817178779794172927855480334167592657345831168422456047293750487265215613948956065942190520604343798762851198411169053453538424823780043551263338151030226699868435440321942783287334126099934503356166121463822838772651044710315253714036274980395883474756308024821157885394351242978709970133521143511283340897644391254261217952367200122929033587050928159011104701515262653364880576623727945010128265323737513060402706849415927929643995480505188618556639462771310096581923094240598678478103996115599558823324822435514322112334953310459740243803328299834121102478176895115434317657661705836008135654173406836519208116113444570793917447090695338101996384938768915856573654176390861466084317556074096105420160890171063442653053751319608662586752140463490649259223643217890054933124419018938595039662037076099923126330139441350027453886646535838094035156360074969730500416676405660191801803392778462808259974098010501736866108507175068645774031241747473291517405738087085290409601039066863252657376168674922278278031238848929170372296095298889951002047647274562642374105985477826885005240256822007587679180049527313753521728505655993090835056765525983656657377163367099979582777525960818291940914106868027224050598069379988836411995019980881964201169913849413630992871076853112852656669485982068269002917854394109743050773711442350622008724391211902011133821552879669361644344219781638518203543217411422548748206706766863967055476155806112700655695462292188380030806715615054521302818419311563494729380600583116897127086066333580372997051262738287714108687262640545380698028766448781787947325962062022650652512624104381317038281687625806184838484173327352454735867889182349115580430518524580357576300461235966095446902737558877587250402214091024575334990105018597728776280857190666757001664140966980859970395106155823504220512189875996000457679376920666561575990433325673983817616479944985885220588966305606563750234536167510913121001534638047829520540853235780791366633349077878442587799164351138321396375504213772145789443866457351039212299585901668320974153092193744311275982511685784408533954053115029968528434848167775165270274888020134540886206324536665702400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host lister.cs.mu.OZ.AU. (128.250.37.94)
Time: Sun Aug 22 21:41:39 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:49:08 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18006;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 17
12
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:49:46 2004
Input: P=prod(p=2,41,if(isprime(p),p,1));
B=P*2^18006;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 9
32
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:50:12 2004
Input: P=prod(p=2,41,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 43
27
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:50:49 2004
Input: P=prod(p=2,31,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 49
49
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:51:05 2004
Input: P=prod(p=2,37,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 36
11
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:51:52 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 7
5
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:54:32 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 40
30
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:54:52 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 7
48
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:55:16 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=P*2^18001;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 28
43
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:55:35 2004
Input: P=prod(p=2,43,if(isprime(p),p,1));
B=P*2^18002;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 6
33
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 21:56:05 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18002;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 6
20
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.060s
sys 0m0.000s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 22:58:16 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18002;
N=36*B^2;
Q=31;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 19
30
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 22:59:09 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18002;
N=36*B^2;
Q=57;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 0
0
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 22:59:13 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18002;
N=36*B^2;
Q=57;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 0
0
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:03:10 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=57;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 0
0
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:03:20 2004
Input: P=prod(p=2,31,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=57;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 0
0
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:03:27 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=57;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 0
0
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:03:54 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=59;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 49
56
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:04:02 2004
Input: P=prod(p=2,29,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=59;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 49
56
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:05:25 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=59;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 49
56
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:05:41 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=59;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 49
56
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:06:25 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 40
30
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:07:43 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=61;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 47
34
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:08:35 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=67;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 26
21
Errors (if any) and Timing Info:
Timing:
real 0m0.069s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Sun Aug 22 23:09:48 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=71;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print(Z);
Output: 18
66
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.060s
sys 0m0.010s
************** PARI *****************
Host host165-253.pool80117.interbusiness.it. (80.117.253.165)
Time: Mon Aug 23 02:26:30 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host sneezy.its.unimelb.edu.au. (128.250.6.246)
Time: Mon Aug 23 04:06:04 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ppp147-65.lns1.mel2.internode.on.net. (150.101.147.65)
Time: Mon Aug 23 08:59:41 2004
Input: (x^6 + x^3 + x) / (x^3 + x^2 + 1)
Output: (x^6 + x^3 + x)/(x^3 + x^2 + 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.255s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ppp147-65.lns1.mel2.internode.on.net. (150.101.147.65)
Time: Mon Aug 23 09:00:23 2004
Input: (x^6 + x^3 + x) / (x^3 + x^2 + 1)
Output: (x^6 + x^3 + x)/(x^3 + x^2 + 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ppp147-65.lns1.mel2.internode.on.net. (150.101.147.65)
Time: Mon Aug 23 09:01:29 2004
Input: 1001010 / 1101
Output: 333670/367
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.010s
sys 0m0.050s
************** PARI *****************
Host bonnie.cyberpass.net. (168.143.113.124)
Time: Mon Aug 23 12:38:11 2004
Input: 0022202323
Output: 22202323
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Mon Aug 23 23:58:17 2004
Input: x^54 + x^48 + x^46 + x^41 + x^38 + x^33 + x^32
Output: x^54 + x^48 + x^46 + x^41 + x^38 + x^33 + x^32
Errors (if any) and Timing Info:
Timing:
real 0m0.072s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 02:17:50 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=53;
M=N-Q*floor(N/Q);
print(M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: 40
A1=30
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 02:58:55 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=59;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=49
A1=56
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host 3(NXDOMAIN) (220.224.5.175)
Time: Tue Aug 24 02:59:39 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:00:38 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=61;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=47
A1=34
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:02:41 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=67;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=26
A1=21
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:03:34 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=71;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=18
A1=66
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:04:26 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=73;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=49
A1=48
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:05:26 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=79;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=20
A1=32
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:06:09 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=83;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=63
A1=78
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:07:10 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=89;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=10
A1=34
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:08:02 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=97;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=27
A1=42
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:09:08 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=101;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=84
A1=66
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:10:21 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=103;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=52
A1=52
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:11:09 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=107;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=49
A1=102
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:12:11 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=109;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=7
A1=27
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:12:47 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=113;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=28
A1=71
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:12:53 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=113;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=28
A1=71
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:13:59 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=127;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=76
A1=31
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:15:04 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=131;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=20
A1=3
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:16:27 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=137;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=60
A1=29
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:17:03 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=139;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=136
A1=99
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Tue Aug 24 03:18:04 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
N=36*B^2;
Q=149;
M=N-Q*floor(N/Q);
print("A2="+M);
A=11*B;
Z=A-Q*floor(A/Q);
print("A1="+Z);
Output: A2=82
A1=67
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host baana-pppoes-213-139-167-75.suomi.net. (213.139.167.75)
Time: Tue Aug 24 03:18:16 2004
Input: (x+y)^3
Output: x^3 + 3*y*x^2 + 3*y^2*x + y^3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host baana-pppoes-213-139-167-75.suomi.net. (213.139.167.75)
Time: Tue Aug 24 03:18:35 2004
Input: (x+y)^3
Output: x^3 + 3*y*x^2 + 3*y^2*x + y^3
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host 3(NXDOMAIN) (158.170.33.121)
Time: Tue Aug 24 16:31:27 2004
Input: 4+6
Output: 10
Errors (if any) and Timing Info:
Timing:
real 0m0.112s
user 0m0.070s
sys 0m0.030s
************** PARI *****************
Host ip-194-72-110-12.syntegra.com. (194.72.110.12)
Time: Wed Aug 25 04:14:45 2004
Input: factor(6)
Output:
[2 1]
[3 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ip-194-72-110-12.syntegra.com. (194.72.110.12)
Time: Wed Aug 25 04:15:08 2004
Input: factor(41633)
Output:
[17 1]
[31 1]
[79 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ip-194-72-110-12.syntegra.com. (194.72.110.12)
Time: Wed Aug 25 04:15:40 2004
Input: factor(41633225)
Output:
[5 2]
[191 1]
[8719 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host ppp-62-11-3-41.dialup.tiscali.it. (62.11.3.41)
Time: Wed Aug 25 05:23:47 2004
Input: 234
Output: 234
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Wed Aug 25 06:44:20 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Wed Aug 25 06:44:21 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Wed Aug 25 06:44:30 2004
Input: ABC
Output: ABC
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host proxy304.docomo.ne.jp. (210.136.161.196)
Time: Wed Aug 25 07:50:03 2004
Input: 100!
Output: 93326215443944152681699238856266700490715968264381621468592963895217599993229915608941463976156518286253697920827223758251185210916864000000000000000000000000
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host IP-213157024042.dialin.heagmedianet.de. (213.157.24.42)
Time: Wed Aug 25 18:37:49 2004
Input: PQ := PolynomialRing(RationalField());
isIrreducible(x^6 + x + 2);
Output:
Errors (if any) and Timing Info: *** unexpected character: PQ:=PolynomialRing(Rat
^--------------------
*** expected character: ',' instead of: isIrreducible(x^6+x+2);
^--------
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host IP-213157024042.dialin.heagmedianet.de. (213.157.24.42)
Time: Wed Aug 25 18:45:46 2004
Input: ?
Output: Help topics:
0: list of user-defined identifiers (variable, alias, function)
1: Standard monadic or dyadic OPERATORS
2: CONVERSIONS and similar elementary functions
3: TRANSCENDENTAL functions
4: NUMBER THEORETICAL functions
5: Functions related to ELLIPTIC CURVES
6: Functions related to general NUMBER FIELDS
7: POLYNOMIALS and power series
8: Vectors, matrices, LINEAR ALGEBRA and sets
9: SUMS, products, integrals and similar functions
10: GRAPHIC functions
11: PROGRAMMING under GP
12: The PARI community
Further help (list of relevant functions): ?n (1<=n<=11).
Also:
? functionname (short on-line help)
?\ (keyboard shortcuts)
?. (member functions)
Extended help looks available:
?? (opens the full user's manual in a dvi previewer)
?? tutorial (same with the GP tutorial)
?? refcard (same with the GP reference card)
?? keyword (long help text about "keyword" from the user's manual)
??? keyword (a propos: list of related functions).
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.020s
sys 0m0.020s
************** PARI *****************
Host IP-213157024042.dialin.heagmedianet.de. (213.157.24.42)
Time: Wed Aug 25 18:47:59 2004
Input: ?4
Output:
addprimes bestappr bezout bezoutres bigomega
binomial chinese content contfrac contfracpnqn
core coredisc dirdiv direuler dirmul
divisors eulerphi factor factorback factorcantor
factorff factorial factorint factormod ffinit
fibonacci gcd hilbert isfundamental isprime
ispseudoprime issquare issquarefree kronecker lcm
moebius nextprime numdiv omega precprime
prime primes qfbclassno qfbcompraw qfbhclassno
qfbnucomp qfbnupow qfbpowraw qfbprimeform qfbred
quadclassunit quaddisc quadgen quadhilbert quadpoly
quadray quadregulator quadunit removeprimes sigma
sqrtint znlog znorder znprimroot znstar
Errors (if any) and Timing Info:
Timing:
real 0m0.088s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host IP-213157024042.dialin.heagmedianet.de. (213.157.24.42)
Time: Wed Aug 25 18:49:34 2004
Input: nextprime(41245231423412341234123412342342423412341234231412341234123421^34)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.016s
user 0m20.720s
sys 0m0.280s
************** PARI *****************
Host IP-213157024042.dialin.heagmedianet.de. (213.157.24.42)
Time: Wed Aug 25 18:51:25 2004
Input: nextprime(3412342342423412341234231412341234123421^10)
Output: 214055283384449199584333746823059167291975040105005547699043992676744239316895350656440062560580774523337318707179046548326867693808603950963241871423053676709932656834676173770842602034448826232006542255479858640107032106709776101569534387675427333037926710111870835262213367275388491222197492621613120349785967208556532860138530242023762049163683778057655910269818197358463955598210198094133351
Errors (if any) and Timing Info:
Timing:
real 0m18.029s
user 0m17.920s
sys 0m0.080s
************** PARI *****************
Host IP-213157024042.dialin.heagmedianet.de. (213.157.24.42)
Time: Wed Aug 25 18:53:36 2004
Input: 93412342342423412341234231412341234123421^204
Output: 917211529307281107825524843303315042834730765361857109961605183456533161867787534058372529026371003574797742306063345749420299700275102866990943332130931312739730116072421882276211546796097139799830291707175811276589070735009713009988866202163187793820714669877284152587688965681799409646405526468542574905323439266700435579121442259221140629176032907106424298847726959099101939034370973605218698616347322617724187870642294475619959825205921722447779095822476063966807715897284880396260950903082287999261505109391625044323130660017510302700665212427972324294128201474899051395371844120787559729317043465246679271805605386635917980398067039500034735877974419093914677394220897815209730274020465364900870983483951733729117830443777900767523190939264212461335717740277605846228937553285163028837311371256934634428047325287984082334657497242721283454849717947812201118051431206472734620242259325590369394316900140407063025102670719516993200100194091244056111114447517439867623066917798062043630424636760098532579698736324958905567764713961041082453883534390447005226958467805199948917435990300600397704238347604179892903806652249596000607751857285643031401851074849540094725515502611707275060843673955329481960800360286160963003894161059498155798930591786084395986247963127587043365848473034132481533579197526926890949247362928118249548622280385182696309092610010293127757843713935538999223113343513230979491578857349106946383506110195574756746263786178610784272747104538736181536912324111853557078544027433098057306536539349382412586625383120762387824362540704568420057626800822781868327833011299142587006236166368493250353933895690279451159647546160771879802495167216288124420692273008543963274487121319400693803332616749470289385418290767143485358954469070296129719358417078326575027008245405084565266493243445882946894559732612108569384166736718163299930656772273177140007924868218593657303055028999687121998867228134172021561424515008365805990480794943795325948397683283994126399728564359763176882237949541068933966533674490083713832451414659487333993631655315708162287669161698326476369988596299629446277741861869905741713270467893157715739667365376714902702690305848622837704166202653791576163521981161028037827712439946703497152595802752724507238801044666324339157469770337343085194179117886674137195076113815810864518914210396889774805810747384574034429201941744885214755020761023726641684312176665518022683787790824294196637066250789528336124760245660166730285991841934797702425613730931157573986832364999722369663573459996103854119394043281277708523485005285975396324298257439013799622399310757932870715655069259378462521729217779367232691119160269449369990795183131029124854897409429763936008620776497257454703817243279119535286442240026921630924068360689754359651504794719876459705947526822214386890721049399529219269157931392715138479288992029432967282022430148167509502517854073956363719201856260266565307944454094975965551430043997401353165279214890644560022508203605365974589172105024405645997021630070958352739662168755502755384647214982574410516512145002004308378107369855512200038736748241655726458995446847220715014006287570639369693061186593617747387812147148688793263579785332102856051525377435920751134386586571832687054242506400286354147183974888153856229128822416989268679784859604590552696316726597544020699817743575907478333488133955756384549575132227977136754996155016949653455038571680954435440193663330430045339295202453473667814645925418471093071532513276035790711125010638064761967843305811328079667702887259501761684157256904574583395443109086479433117181960147595964791127774811302383823173035938815910664618477138351570781275125936600706257163563025727476279877594239084706200367376835271171502525700594620194792649072561190886057894238661218985470918188653779414729903642462591613397554687456084482656746106953743952639038460429003680864873959615214394453817862405348177697238597109570506740832904457091958316218699283436732276754228135212281643693710837901289715489245540852090969696202387570597220187141454857917166769145923137829419662707162448490486266976259646572028645918535174434742392293296672192032720527989581382330467114398563302442830384689807305234731147918701430877534927684142562429077269823826991839920242821993101768711641811995236080737899076583070373075381576678345558380050231038124954534074983879799271870922980982583959598586009688051514731509116200149882915070333178107373961385744542069798782326881791799467829187196504210793824996667940612221246451174315034427975191515905842996308648443232753361594155059625417852471368294502737103271173631115569650305424438834684277711183336687260866835076879921657459945034752489014770316233009588795151404820037590522940660257395761415138377542115423156036253378208683852324917806369630370086173419005474834079858980990573779205446430475569383874639192056900446646577489486763086175561664313707708989108855703416176076273551436647201600772947314599580877467693893555312844289577376313853947373906131917240046369947363870213782393376593921762578823794463600490843399404375235467296143376145389296209506836955138280928020644019788479249043539327070924349697340423876503314444062926507451204711833968647575444388827782732763636072274564683026616465155481675025167711781820084964180215537427646896509076154517003706671183829105355977672178309092063155696808363816348928761417799990270132139362480958305243094279004653514178317957562349982943629258482489389463224016763057949445965583416376203265542585395416720286007590415041236469574698771901165248882586471211972183616493680106016736267736483996184835046271512943296973762829076896211142379313771512327089678535499646509317697058337559202495769746707808312960179038714118840386179733815118889949378341346042325725144544330172213378257536743087784295550970952607054915912789776661474153899248659177361106401785883586758001474030567611288177074368677191111049195063704669909158726978343351668438325493880801234986428923377058588234216023559080721512597206389498837476249813873332861540226907079182089283210149989235636700721236572854854980527159703785634229481326117303559093971521230844564706935709921605346795541377100340032005899525077247665871427469722227583497232464339628766392638222207647874119958513390931978397538137096125209484247541007760244682585863071751568384567292987760911006085292647068565632095056583830713451447548702597122424649135480946323660138276934501365750197751834118410693107885083594660119197598697010976623758133902874869668131243457897038545694173290448908629986495170889986860146874760988006278881116064694403089138804373131428292494918724408538357592261539880290169072194997627960016690577289022891319850497980712303867258015387740785719879570523498404426412778961617586220924548652203964040220792449023207515377127888881967378395606334696633888418762053355276678892575850773655603465804144964966133078083142410299634165852867852210328105501240175548719149930846491891999303986319761975082485360145923172404170296144693868168851301966402095610126979371758165588728468147467806162049213230088805379813575579334541717350277223192405589012428977937016188790821210144747831498085667235082984501408210724342470419540672907154805030733427891773030339911751841238810387167281377232136179228260017506164791202951998316542961987492151323983471807429367713103274515605132117953135218352721385768428430379449791898552255933969526887008588481859155187756719345170403557284123107886348241182157357700634911041907368870555927866674801383407867204791542542442198266315114086442546469740234423607991068889149593292431732810161442766079810677599706950925666405844187744734384036480844921787788171598210267801785459452768353705949221717745250730651210876350901390845661565442914541758432348978117275560640799766709887775549194484604500254893985786143982895654966529288231213255442321573714469526423843032881106992650344649418784853489233419069831348682331338850463742187951827020042172581748090135751067813328550685200140916013200765627677963633864267914648505622920366007970501025840949752441717439811873419685409497974169016875280505610797623298675672797223074667688020151111286915045911117232662442249383707603427879606424398151657968907141466897371987479414683643666536294383020207448115988995379172160408312860519960861531063035665400667984563511858626203611793435224825200779668364888752004948081
Errors (if any) and Timing Info:
Timing:
real 0m0.076s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 22:59:42 2004
Input: vector(j=1,10,isprime(j))
Output:
Errors (if any) and Timing Info: *** variable name expected: vector(j=1,10,isprime(j))
^--------------
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:00:00 2004
Input: isprime(10)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:00:19 2004
Input: vector(50,j,isprime(j))
Output: [0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:00:32 2004
Input: vector(10,j,isprime(j))
Output: [0, 1, 1, 0, 1, 0, 1, 0, 0, 0]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:00:46 2004
Input: sum(j=1,50,isprime(j))
Output: 15
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:10:09 2004
Input: factor(2*3+1)
Output:
[7 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.073s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:10:44 2004
Input: factor(2*3*7+1)
Output:
[43 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:10:53 2004
Input: factor(2*3*7*43+1)
Output:
[13 1]
[139 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:10:59 2004
Input: factor(2*3*7*43*13+1)
Output:
[53 1]
[443 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:11:07 2004
Input: factor(2*3*7*43*13*53+1)
Output:
[5 1]
[248867 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.075s
user 0m0.050s
sys 0m0.030s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:11:25 2004
Input: factor(2*3*7*43*13*53*5+1)
Output:
[6221671 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.049s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:11:37 2004
Input: factor(2*3*7*43*13*53*5*6221671+1)
Output:
[38709183810571 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:11:52 2004
Input: factor(2*3*7*43*13*53*5*6221671*3870918381057+1)
Output:
[1103 1]
[135847770741658620638597 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Wed Aug 25 23:12:06 2004
Input: factor(2*3*7*43*13*53*5*6221671*38709183810571+1)
Output:
[139 1]
[25621 1]
[420743244646304724409 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host ip-66-218-236-99.cableaz.com. (66.218.236.99)
Time: Wed Aug 25 23:37:04 2004
Input: (x + 3) * (1 - x)
Output: -x^2 - 2*x + 3
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Wed Aug 25 23:41:16 2004
Input: (x+2)*(1-x)
Output: -x^2 - x + 2
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Wed Aug 25 23:44:48 2004
Input: Binary(234)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Binary(234)
^-----------
Timing:
real 0m0.050s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Wed Aug 25 23:45:09 2004
Input: Binary(234)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: Binary(234)
^-----------
Timing:
real 0m0.063s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Wed Aug 25 23:45:43 2004
Input: binary(234)
Output: [1, 1, 1, 0, 1, 0, 1, 0]
Errors (if any) and Timing Info:
Timing:
real 0m0.067s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Wed Aug 25 23:47:24 2004
Input: factor(3^7-1)
Output:
[2 1]
[1093 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Thu Aug 26 01:34:03 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.077s
user 0m0.060s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 03:59:45 2004
Input: 13+51
Output: 64
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 04:00:40 2004
Input: factor(2423432411)
Output:
[67 1]
[4349 1]
[8317 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 04:02:27 2004
Input: 13*51
Output: 663
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 04:03:54 2004
Input: (12+4)(8-3)
Output:
Errors (if any) and Timing Info: *** unused characters: (12+4)(8-3)
^-----
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 04:04:09 2004
Input: (12+4)*(8-3)
Output: 80
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 04:45:57 2004
Input: sum(n=1,500,1/n^2)
Output: 40989667509417020364501093692502176755794024501985947368498081469230342364939347555775843536098002493121731261331858135756475744199062009423381225462568225215022718381129005000153848871666523784518165560401243113429779402097946238148872369449334015612850425653111305343965419490889763150366838155123100493039642129524497054560780313022903733433651913622499306932093491632638005625140236671330899848602520081053712248084984597965892703/24949033848478399732316621994367635898375217667514634128765175039823065702657515118886782955481397685044789502582244491488082811734990406142410714839994352240346799672671096653373050370003043766917200446990341656932050870930805694029352425457933927448095391600589858411116463642340462127248532668094699055899615372607856782889973726927714049952209285000598428267546847008420299147556794800616080865314955961842908939704768451993600000
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 05:57:05 2004
Input: ?isprime
Output: isprime(x,{flag=0}): if flag is omitted or 0 true(1) if x is a strong
pseudoprime for 10 random bases, false(0) if not. If flag is 1 the primality
is certified by Pocklington-Lehmer Test. If flag is 2 a primality certificate
is output(see manual).
Errors (if any) and Timing Info:
Timing:
real 0m0.085s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (194.98.128.33)
Time: Thu Aug 26 10:26:08 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.080s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Thu Aug 26 16:19:03 2004
Input: (2*x + 1) * (1 - 2 * x)
Output: -4*x^2 + 1
Errors (if any) and Timing Info:
Timing:
real 0m0.074s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Thu Aug 26 21:08:17 2004
Input: (2*x + 1) * (1 - 2 * x) / (1 + x)
Output: (-4*x^2 + 1)/(x + 1)
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Thu Aug 26 21:09:07 2004
Input: (2*x + 1) * (1 - 2 * x) / (x)
Output: (-4*x^2 + 1)/x
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Thu Aug 26 22:40:26 2004
Input: 3/4
Output: 3/4
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 23:06:58 2004
Input: factor(2^(2^5)+1)
Output:
[641 1]
[6700417 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 23:07:29 2004
Input: factor(2^(2^6)+1)
Output:
[274177 1]
[67280421310721 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.111s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 23:07:55 2004
Input: factor(2^(2^15)+1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m21.617s
user 0m20.920s
sys 0m0.080s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 23:08:31 2004
Input: isprime(2^(2^15)+1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m22.597s
user 0m20.890s
sys 0m0.110s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 23:08:41 2004
Input: isprime(2^(2^10)+1)
Output: 0
Errors (if any) and Timing Info:
Timing:
real 0m0.089s
user 0m0.070s
sys 0m0.020s
************** PARI *****************
Host platinum.math.uconn.edu. (137.99.17.121)
Time: Thu Aug 26 23:09:08 2004
Input: factor(2^(2^10)+1)
Output:
Errors (if any) and Timing Info:
Timing:
real 0m20.988s
user 0m20.970s
sys 0m0.030s
************** PARI *****************
Host 3(NXDOMAIN) (202.141.145.35)
Time: Thu Aug 26 23:43:56 2004
Input: 66*66
Output: 4356
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Thu Aug 26 23:48:08 2004
Input: 59*61*71*73*101*127*131*139*(12/59+9/61+5/71+13/73+23/101+71/127+25/131+66/139)
Output: 8939737775443378
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Thu Aug 26 23:48:35 2004
Input: 59*61*71*73*101*127*131*139
Output: 4356866433221131
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Thu Aug 26 23:49:13 2004
Input: 8939737775443378-2*4356866433221131
Output: 226004909001116
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 00:55:50 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=59;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=49
A1=56
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 00:56:27 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=149;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=82
A1=67
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 00:58:24 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=151;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=50
A1=132
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 00:59:15 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=157;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=30
A1=21
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:00:06 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=163;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=91
A1=128
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:00:59 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=167;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=29
A1=30
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:01:57 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=173;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=137
A1=15
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:02:31 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=179;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=31
A1=26
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:03:27 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=183;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=108
A1=156
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:04:09 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=191;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=25
A1=41
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:04:48 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=193;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=95
A1=179
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:05:34 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=197;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=174
A1=54
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:06:32 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000;
Q=199;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=122
A1=198
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:10:38 2004
Input: Q=59*61*71*73*101*127*131*139*151*163*167*179*193*197;
M=Q*(12/59+9/61+5/71+13/73+23/101+71/127+25/131+66/139+27/151+55/163+23/167+3/179+123/193+126/197);
print(M);
Output: 487456969035381244757114993805
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:11:00 2004
Input: Q=59*61*71*73*101*127*131*139*151*163*167*179*193*197;
M=Q*(12/59+9/61+5/71+13/73+23/101+71/127+25/131+66/139+27/151+55/163+23/167+3/179+123/193+126/197);
print(Q);
print(M);
Output: 121879828693607258374783052159
487456969035381244757114993805
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:11:54 2004
Input: Q=121879828693607258374783052159;
M=487456969035381244757114993805;
N=M-4*Q;
print(N);
Output: -62345739047788742017214831
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:12:05 2004
Input: Q=121879828693607258374783052159;
M=487456969035381244757114993805;
N=M-3*Q;
print(N);
Output: 121817482954559469632765837328
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:21:09 2004
Input: factorint(121817482954559469632765837328);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:21:17 2004
Input: factor(121817482954559469632765837328);
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:24:40 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=59;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=3
A1=29
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:27:42 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=53;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=7
A1=5
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:28:28 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=61;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=3
A1=26
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.020s
sys 0m0.040s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:30:21 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=67;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=64
A1=37
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:30:58 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=71;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=36
A1=11
Errors (if any) and Timing Info:
Timing:
real 0m0.097s
user 0m0.050s
sys 0m0.040s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:31:59 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=73;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=48
A1=8
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:33:13 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=79;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=62
A1=58
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:34:03 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=83;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=64
A1=13
Errors (if any) and Timing Info:
Timing:
real 0m0.110s
user 0m0.080s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:35:08 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=89;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=25
A1=65
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:36:08 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=97;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=25
A1=7
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 01:36:20 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=97;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=25
A1=7
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:46:48 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=101;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=36
A1=11
Errors (if any) and Timing Info:
Timing:
real 0m0.063s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:47:56 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=103;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=93
A1=43
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:49:05 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=107;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=40
A1=17
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:49:42 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=109;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=88
A1=59
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:50:27 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=113;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=51
A1=106
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:51:21 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=127;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=115
A1=111
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:52:33 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=131;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=117
A1=66
Errors (if any) and Timing Info:
Timing:
real 0m0.064s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:53:40 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=137;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=93
A1=119
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:54:37 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=139;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=81
A1=86
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:55:59 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=149;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=143
A1=36
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:56:32 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=151;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=144
A1=22
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:57:56 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=157;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=27
A1=82
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:58:49 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=163;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=161
A1=130
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 02:59:37 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=167;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=24
A1=5
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:00:59 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=173;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=172
A1=89
Errors (if any) and Timing Info:
Timing:
real 0m0.058s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:01:58 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=179;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=155
A1=64
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:03:17 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=181;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=102
A1=98
Errors (if any) and Timing Info:
Timing:
real 0m0.061s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:04:17 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=191;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=6
A1=166
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:04:54 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=193;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=8
A1=62
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:05:58 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=197;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=169
A1=9
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:06:47 2004
Input: P=prod(p=2,47,if(isprime(p),p,1));
B=P*2^18000/6;
Q=199;
S=36*B*B;
N=S-Q*floor(S/Q);
print("A2="+N);
R=11*B;
M=R-Q*floor(R/Q);
print("A1="+M);
Output: A2=125
A1=33
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.030s
sys 0m0.040s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:12:22 2004
Input: Q=59*71*73*101*127*131*139*151*163*167*173*179*193*197;
P=Q*(13/59+19/71+5/73+16/101+45/127+19/131+80/139+11/151+4/163+138/167+101/173+18/179+159/193+165/197);
print(Q);
print(P);
Output: 345659186294984519653073246287
1748782548501181831225136495077
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.050s
sys 0m0.000s
************** PARI *****************
Host c-67-169-20-252.client.comcast.net. (67.169.20.252)
Time: Fri Aug 27 03:13:31 2004
Input: Q=59*71*73*101*127*131*139*151*163*167*173*179*193*197;
P=Q*(13/59+19/71+5/73+16/101+45/127+19/131+80/139+11/151+4/163+138/167+101/173+18/179+159/193+165/197);
W=P-5*Q;
print(W);
Output: 20486617026259232959770263642
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:16:48 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
((a+1)*a)/2
Output: 13410349065685962614816629544381469150397654480503721346659699616901934526869739810302037253166551227527712931979689909564743768745553458895415692609850529943580842286205362432753647175260329669288839103279407597212168041295666319329883521188352090154088003741849749766369609470690355119889510559882200039745480190256658261107670454576256732856098466143127480736234022628782271681944597681380055950149492159152546032776302315290401546015490153726907373441
Errors (if any) and Timing Info:
Timing:
real 0m0.210s
user 0m0.000s
sys 0m0.060s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:30:33 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=81030203725316655122752771293197968990956474376874555345889541569260985052994358;
c=((b+1)*b)/2
gcd(c,a)
Output: 3282946957883160566919772075929545920421404834316802659034532287389913612165784688340084995992074672990993879434543545257590768415081388907181720557323516413261
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:30:42 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551227527712931979689909564743768745553458895415692609850529943585;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:30:46 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=8103020372531665512275277129319796899095647437687455534588954156926098505299435853;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:30:56 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=81030203725316655122752771293197968990956474376874555345889541569260985052994358532;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:31:04 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551227527712931979689909564743768745553458895415692609850529943585322;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:31:25 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=8103020372531665512275277129988716159149409607603518099397405581680331979689909564743768745553458895415692609850529943585322
c=((b+1)*b)/2;
gcd(c,a)
Output: 8103020372531665512275277129988716159149409607603518099397405581680331979689909564743768745553458895415692609850529943585322
1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:31:33 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=8103020372531665517594172275277129988716159149409607603518099397405581680331979689909564743768745553458895415692609850529943585322
c=((b+1)*b)/2;
gcd(c,a)
Output: 8103020372531665517594172275277129988716159149409607603518099397405581680331979689909564743768745553458895415692609850529943585322
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:31:42 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112
c=((b+1)*b)/2;
gcd(c,a)
Output: 810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112
1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:31:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=81030203725316655175941722752771299887161591494096076035180993974055816803319796899095647437687455534588954156926098505299435853211111111266666666666666888888888888888999999999999999163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
c=((b+1)*b)/2;
gcd(c,a)
Output: 81030203725316655175941722752771299887161591494096076035180993974055816803319796899095647437687455534588954156926098505299435853211111111266666666666666888888888888888999999999999999163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m0.062s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:32:17 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=81030203725316655175941722752771299887161591494096076035180993974055816803319796899095647437687455534588954156926098505299435853211111111266666666666666888888888888888999999999999999163770260215941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
c=((b+1)*b)/2;
gcd(c,a)
Output: 81030203725316655175941722752771299887161591494096076035180993974055816803319796899095647437687455534588954156926098505299435853211111111266666666666666888888888888888999999999999999163770260215941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:32:30 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
c=((b+1)*b)/2;
gcd(c,a)
Output: 810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761
1
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.020s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:32:43 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:32:50 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902837777777777777775673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.059s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:32:57 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902837777777777777775673697539286097798608654505080499083631656485151490346084685550006249323029761;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.066s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:33:07 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902837777777777777775673697539286097798608654505080499083631656485151490346084685550006249323029762;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:33:16 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902837777777777777775673697539286097798608654505080499083631656485151490346084685550006249323029763;
c=((b+1)*b)/2;
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host CPE-61-9-136-222.vic.bigpond.net.au. (61.9.136.222)
Time: Sat Aug 28 03:33:24 2004
Input: a=163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761;
b=810302037253166551759417227527712998871615914940960760351809939740558168033197968990956474376874555345889541569260985052994358532111111112666666666666668888888888888889999999999163770260216474972875941716179492041370473630431255991349167125547609419876042789145851159887161591494096076035180993974055816803943556634765876902835673697539286097798608654505080499083631656485151490346084685550006249323029761999991777777777776377026021594171617949204137047363043125599134916712554760941987604278914585115988716159149409666666666666666076035180993974055816803943556634765876902837777777777777775673697539286097798608654505080499083631656485151490346084685550006249323029763;
c=((b+1)*b);
gcd(c,a)
Output: 1
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host ika.cs.mu.OZ.AU. (128.250.37.70)
Time: Sat Aug 28 03:35:08 2004
Input: ABC
Output: ABC
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:29:33 2004
Input: factor(12345)
Output:
[3 1]
[5 1]
[823 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.117s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:32:56 2004
Input: factor(123456)
Output:
[2 6]
[3 1]
[643 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:42:03 2004
Input: factor(123457)
Output:
[123457 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:42:28 2004
Input: factor(17^7-1)
Output:
[2 4]
[25646167 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:42:45 2004
Input: factor(17^7-13)
Output:
[2 2]
[5 1]
[41 1]
[500413 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.051s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:43:19 2004
Input: factor(19^17-13)
Output:
[2 1]
[3 1]
[11 1]
[507103 1]
[163746151199837 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:43:54 2004
Input: factor(5^3-2)
Output:
[3 1]
[41 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:44:23 2004
Input: factor(13^7-5)
Output:
[2 5]
[1960891 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 13:44:47 2004
Input: factor(13^17-19)
Output:
[2 1]
[3 1]
[79 1]
[941 1]
[14831 1]
[14983 1]
[87277 1]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host 21-BAR2-X73.libre.retevision.es. (62.82.153.21)
Time: Sat Aug 28 13:57:03 2004
Input: "Replace this by some code, then click [PARI] or [MAGMA]!"
Output: "Replace this by some code, then click [PARI] or [MAGMA]!"
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host 21-BAR2-X73.libre.retevision.es. (62.82.153.21)
Time: Sat Aug 28 13:57:09 2004
Input: 676767
Output: 676767
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:52:46 2004
Input: (1,2,3) * 4
Output:
Errors (if any) and Timing Info: *** expected character: ')' instead of: (1,2,3)*4
^-------
Timing:
real 0m0.059s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:53:17 2004
Input: [1,2,3,4] * 5
Output: [5, 10, 15, 20]
Errors (if any) and Timing Info:
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:53:53 2004
Input: [2,3,4,5] * [2,3]
Output:
Errors (if any) and Timing Info: *** forbidden multiplication t_VEC * t_VEC.
Timing:
real 0m0.057s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:54:26 2004
Input: [[1,2][2,3]] * 3
Output:
Errors (if any) and Timing Info: *** expected character: ']' instead of: [[1,2][2,3]]*3
^------
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:54:46 2004
Input: [[1,2][2,3]]
Output:
Errors (if any) and Timing Info: *** expected character: ']' instead of: [[1,2][2,3]]
^----
Timing:
real 0m0.060s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:55:18 2004
Input: [[1,2],[2,3]]
Output: [[1, 2], [2, 3]]
Errors (if any) and Timing Info:
Timing:
real 0m0.054s
user 0m0.030s
sys 0m0.030s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:55:42 2004
Input: [[1,2],[2,3]] * 4
Output: [[4, 8], [8, 12]]
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:56:16 2004
Input: [[1,2],[2,3]] * [2,3]
Output:
Errors (if any) and Timing Info: *** forbidden multiplication t_VEC * t_VEC.
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:56:39 2004
Input: [[1,2],[2,3]] * [[2,3]]
Output:
Errors (if any) and Timing Info: *** forbidden multiplication t_VEC * t_VEC.
Timing:
real 0m0.052s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host squid.prod1.dngr.net. (63.241.65.90)
Time: Sat Aug 28 16:56:54 2004
Input: [[1,2],[2,3]] / [[2,3]]
Output:
Errors (if any) and Timing Info: *** impossible division t_VEC / t_VEC.
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host diale181.ppp.lrz-muenchen.de. (129.187.28.181)
Time: Sun Aug 29 15:11:51 2004
Input: 1+1
Output: 2
Errors (if any) and Timing Info:
Timing:
real 0m0.273s
user 0m0.030s
sys 0m0.010s
************** PARI *****************
Host diale181.ppp.lrz-muenchen.de. (129.187.28.181)
Time: Sun Aug 29 15:12:31 2004
Input: i = 1;
i*3;
Output:
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.050s
sys 0m0.020s
************** PARI *****************
Host 67-137-84-135.dsl2.cok.tn.frontiernet.net. (67.137.84.135)
Time: Sun Aug 29 17:31:01 2004
Input: 1+2+3
Output: 6
Errors (if any) and Timing Info:
Timing:
real 0m0.053s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:39:26 2004
Input: 36!/(30! * 6!)
Output: 1947792
Errors (if any) and Timing Info:
Timing:
real 0m0.055s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:40:14 2004
Input: 36!/(36-6)
Output: 12399777559663373915599981605027840000000
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:40:34 2004
Input: 36!/(36-6)
Output: 12399777559663373915599981605027840000000
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.030s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:42:10 2004
Input: 36!/(36-6)
Output: 12399777559663373915599981605027840000000
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.040s
sys 0m0.010s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:44:45 2004
Input: 36^6
Output: 2176782336
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:45:11 2004
Input: 36^5
Output: 60466176
Errors (if any) and Timing Info:
Timing:
real 0m0.057s
user 0m0.050s
sys 0m0.010s
************** PARI *****************
Host c-24-10-96-33.client.comcast.net. (24.10.96.33)
Time: Sun Aug 29 21:45:30 2004
Input: 36^4
Output: 1679616
Errors (if any) and Timing Info:
Timing:
real 0m0.056s
user 0m0.040s
sys 0m0.020s
************** PARI *****************
Host ti121210a080-4331.bb.online.no. (80.212.48.237)
Time: Mon Aug 30 08:43:34 2004
Input: int(log(x),x)
Output:
Errors (if any) and Timing Info: *** unknown function or error in formal parameters: int(log(x),x)
^---------
Timing:
real 0m0.180s
user 0m0.030s
sys 0m0.020s
************** PARI *****************
Host 140.247.245.154 (140.247.245.154)
Time: Fri Sep 3 17:38:29 2004
Input: 2+2
Output:
Errors (if any) and Timing Info:/bin/sh: /var/www/cgi-bin/calc/gp: No such file or directory
Timing:
real 0m0.001s
user 0m0.000s
sys 0m0.001s
************** PARI *****************
Host 140.247.245.154 (140.247.245.154)
Time: Fri Sep 3 17:40:45 2004
Input: 2+2
Output: [0m[0;36m[0;35m4[0m
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.025s
user 0m0.005s
sys 0m0.003s
************** PARI *****************
Host 140.247.245.154 (140.247.245.154)
Time: Fri Sep 3 17:41:26 2004
Input: 2+2
Output: [0m[0;36m[0;35m4[0m
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.009s
user 0m0.006s
sys 0m0.003s
************** PARI *****************
Host 140.247.245.154 (140.247.245.154)
Time: Fri Sep 3 17:41:42 2004
Input: factor(3209848509438)
Output: [0m[0;36m[0;35m
[2 1]
[3 2]
[178324917191 1]
[0m
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.039s
user 0m0.005s
sys 0m0.005s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Fri Sep 3 22:51:38 2004
Input: 2+2
Output: [0m[0;36m[0;35m4[0m
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.020s
user 0m0.003s
sys 0m0.006s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Fri Sep 3 22:51:48 2004
Input: factor(93250985)
Output: [0m[0;36m[0;35m
[5 1]
[18650197 1]
[0m
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.039s
user 0m0.004s
sys 0m0.007s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:51:36 2004
Input: factor(9840984350984343538453453904853)
Output: [0m[0;36m[0;35m
[3 1]
[7 1]
[241 1]
[3259517 1]
[3174224929 1]
[187936552261 1]
[0m
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.140s
user 0m0.019s
sys 0m0.004s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:52:23 2004
Input: factor(9840984350984343538453453904853)
Output: [0;36m[0;35m
[3 1]
[7 1]
[241 1]
[3259517 1]
[3174224929 1]
[187936552261 1]
[0m
[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.024s
user 0m0.015s
sys 0m0.007s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:52:30 2004
Input: 2+2
Output: [0;36m[0;35m4[0m
[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.023s
user 0m0.007s
sys 0m0.001s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:53:39 2004
Input: print("'hello')
Output: [0m
Errors (if any) and Timing Info:[0;31m[0;31m *** expected character: '"' instead of: [0;35mprint("'hello')[0;35m
[0;31m ^
[0m
[0;31m *** Warning: run-away string. Closing it.
[0m
Timing:
real 0m0.009s
user 0m0.004s
sys 0m0.006s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:53:46 2004
Input: print("'hello'")
Output: 'hello'
[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.009s
user 0m0.006s
sys 0m0.002s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:54:00 2004
Input: factor(94898943853453)
Output: [0;36m[0;35m
[17 1]
[29 1]
[103 1]
[109 1]
[17145523 1]
[0m
[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.009s
user 0m0.004s
sys 0m0.005s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:54:30 2004
Input: factor(94898943853453)
Output: [0;36m[0;35m
[17 1]
[29 1]
[103 1]
[109 1]
[17145523 1]
[0m
[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.009s
user 0m0.005s
sys 0m0.004s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:56:42 2004
Input: factor(94898943853453);
for(i=0,10,print(i^2))
Output: [0m0
1
4
9
16
25
36
49
64
81
100
[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.023s
user 0m0.007s
sys 0m0.004s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:56:53 2004
Input: factor(94898943853453);
for(i=0,10,print(i^2))
Output: [0m[0m0
1
4
9
16
25
36
49
64
81
100
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.009s
user 0m0.004s
sys 0m0.005s
************** PARI *****************
Host 65.96.167.57 (65.96.167.57)
Time: Tue Sep 7 12:57:00 2004
Input: print(factor(94898943853453));
for(i=0,10,print(i^2))
Output: [0m[17, 1; 29, 1; 103, 1; 109, 1; 17145523, 1]
[0m0
1
4
9
16
25
36
49
64
81
100
[0m[0m
Errors (if any) and Timing Info:
Timing:
real 0m0.009s
user 0m0.007s
sys 0m0.002s