************** 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(2598876786786867867868609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345345686099999645423523234534568609999964542352323453456860999996454235232345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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: 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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: 24190963625851691787720611826917316653354540427059507138916130860969237140432219240412302688853864050616036062104546058405646997046786638733828489192107725166412351747355954931181243829937337878133667182584610877091440385091727570792066752291703960926643381360307945663673067489702712489778457588337293752655984000415266718762255370552220324130787010714790507389639704971119453435312361277586224700658856164463663013577287347366439767646953103068858468673792816078328212421474791290104475640590301169412738853478516726883133669998421160591642561799963383362503574245608375790349226405072434221620506925932245382215949924237775383757086691686780331262198943390856715729180592494663078533970829971238221561704782483643174812651662609550030185145864514123297148700883410890123900460238243912569403473189870077753726156048283801854953463504501577675603310290392349487325460098880516376168905740514231861821258247240376735226107269819562238612003566875182208702804340105365164763446364769783641686860401663808725057456332371492936342501462373998876400470378024590223020971525912555364669656396993330234533546371780883727970512238401275507781568563435855085471644932441436673531489063574139430016775962941929973105216097337830244781947716175395567656484590779124354289013367923550363031707812965125013393791772652484971058401831969641574782163968882204443429569691810250017910874977522211700001068266181290856364976973928781652756618480635801324726157680472313786352560315628987368039044091963890267412263687016239265109590510733933209700817406117320330905865654440199861874179316461247861502385621820565361836602318047803172616049073385630240432205415513723818191589662131905830847528116629550801857394271706186961585981006728497889494515279747035653413817543885988722632790027251406365744445695580367260909221501617126161044390288344654718519711805659806800448240383458798261552599389271944134349015371966854494743328625554273309663534169543729609069552776305867031239857160505421354296947371739424145156202976526126563348093160669394142841877768318869344757220118084284362423982387996525011647835674548467650905452472953519704173136499219348407045756659046547066174171541878835476991726444385472030700605395638374835373053622711506746108179351465863687616315599474523715239741439694971462127270467309546114495622333382352272534114460901173593681743542546467911757004242879915104857096015222619149039350097442488950490908246447988502057646602306880111642948185239154579010184260168975930996766352549620708458511819724175743478177683340467209570090229697628483277397090749993970073702432183711149040348472913663424114857501679201932025992796442672325074953694934352080403139960779401716957366459217308704558761306165577072618639932147684044455432260951820216225957320833068928375395587707583427958900140874835254243741919728659014460384918523539847388073853336260217201009468938827930674042569014355607088339608761111448089307252072972481126259525321077035502372097559858217183144461277423218958420804074629775336388162720278589217012801460233521561680786780966409230584719180519380275415552548478018174433745898901179927363450549153077565721760643110192321250316123081709917601303606138780338992096566331122721803272003236063214059622915894489725277403656416321471575311899497442509909384582625829570373931706059842728337234610630176267167118095810085073194868356038247783443482520001148942118662334620875650618739334637175626097955691749507422372951604300034914829173497131973357205811539738357843235011630719191406289567263044005075364531617839724782374005680413284211553832880016483686318660580820465711938147893598752555590238513643160829384517202846940634273986045238692546993456042933142967061702467703746516699642803543294547549479452620438645133419266090595497081595949955940713270239087282592497290876592113811693324054107100516578998015800443493138367190242105948751040342468365725292382043160318895803525385810546005271895533936093585526674416078683481008589047186527852668334127171702307165766556715347432318608655848587818119485959764764010514273698304126367890562546664496494571399078829569219060839127287561566949002293006600200484867921499668016696524094363681094850547721509206042977182427379998057749117816926082630803597816887453638588875104508484875714391182663191742171864934832303300256179608044057156193882136141509984063558015676579398045737886723466178625922948273735514516082459473904354596797029017151131933755687480397276628417703032374443493420364611589908584366117367092583431365131862014563218541857933362701397737526047706401776637055197130201150243033140414202075713551552027514158446268238793713108292051078876166975731038712993783994188151472426503361638533019885650340698755097348146620633664236050688014674812607682213922534910797093314667038174319038014264297628247438668117176143771987142828171141917885057057122986048271685436530820672513627740045103477915692327361397250407415122591356548817875989793169284653008061952810764773900438774827748962610804953902930304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 ** 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: 24190963625851691787720611826917316653354540427059507138916130860969237140432219240412302688853864050616036062104546058405646997046786638733828489192107725166412351747355954931181243829937337878133667182584610877091440385091727570792066752291703960926643381360307945663673067489702712489778457588337293752655984000415266718762255370552220324130787010714790507389639704971119453435312361277586224700658856164463663013577287347366439767646953103068858468673792816078328212421474791290104475640590301169412738853478516726883133669998421160591642561799963383362503574245608375790349226405072434221620506925932245382215949924237775383757086691686780331262198943390856715729180592494663078533970829971238221561704782483643174812651662609550030185145864514123297148700883410890123900460238243912569403473189870077753726156048283801854953463504501577675603310290392349487325460098880516376168905740514231861821258247240376735226107269819562238612003566875182208702804340105365164763446364769783641686860401663808725057456332371492936342501462373998876400470378024590223020971525912555364669656396993330234533546371780883727970512238401275507781568563435855085471644932441436673531489063574139430016775962941929973105216097337830244781947716175395567656484590779124354289013367923550363031707812965125013393791772652484971058401831969641574782163968882204443429569691810250017910874977522211700001068266181290856364976973928781652756618480635801324726157680472313786352560315628987368039044091963890267412263687016239265109590510733933209700817406117320330905865654440199861874179316461247861502385621820565361836602318047803172616049073385630240432205415513723818191589662131905830847528116629550801857394271706186961585981006728497889494515279747035653413817543885988722632790027251406365744445695580367260909221501617126161044390288344654718519711805659806800448240383458798261552599389271944134349015371966854494743328625554273309663534169543729609069552776305867031239857160505421354296947371739424145156202976526126563348093160669394142841877768318869344757220118084284362423982387996525011647835674548467650905452472953519704173136499219348407045756659046547066174171541878835476991726444385472030700605395638374835373053622711506746108179351465863687616315599474523715239741439694971462127270467309546114495622333382352272534114460901173593681743542546467911757004242879915104857096015222619149039350097442488950490908246447988502057646602306880111642948185239154579010184260168975930996766352549620708458511819724175743478177683340467209570090229697628483277397090749993970073702432183711149040348472913663424114857501679201932025992796442672325074953694934352080403139960779401716957366459217308704558761306165577072618639932147684044455432260951820216225957320833068928375395587707583427958900140874835254243741919728659014460384918523539847388073853336260217201009468938827930674042569014355607088339608761111448089307252072972481126259525321077035502372097559858217183144461277423218958420804074629775336388162720278589217012801460233521561680786780966409230584719180519380275415552548478018174433745898901179927363450549153077565721760643110192321250316123081709917601303606138780338992096566331122721803272003236063214059622915894489725277403656416321471575311899497442509909384582625829570373931706059842728337234610630176267167118095810085073194868356038247783443482520001148942118662334620875650618739334637175626097955691749507422372951604300034914829173497131973357205811539738357843235011630719191406289567263044005075364531617839724782374005680413284211553832880016483686318660580820465711938147893598752555590238513643160829384517202846940634273986045238692546993456042933142967061702467703746516699642803543294547549479452620438645133419266090595497081595949955940713270239087282592497290876592113811693324054107100516578998015800443493138367190242105948751040342468365725292382043160318895803525385810546005271895533936093585526674416078683481008589047186527852668334127171702307165766556715347432318608655848587818119485959764764010514273698304126367890562546664496494571399078829569219060839127287561566949002293006600200484867921499668016696524094363681094850547721509206042977182427379998057749117816926082630803597816887453638588875104508484875714391182663191742171864934832303300256179608044057156193882136141509984063558015676579398045737886723466178625922948273735514516082459473904354596797029017151131933755687480397276628417703032374443493420364611589908584366117367092583431365131862014563218541857933362701397737526047706401776637055197130201150243033140414202075713551552027514158446268238793713108292051078876166975731038712993783994188151472426503361638533019885650340698755097348146620633664236050688014674812607682213922534910797093314667038174319038014264297628247438668117176143771987142828171141917885057057122986048271685436530820672513627740045103477915692327361397250407415122591356548817875989793169284653008061952810764773900438774827748962610804953902930304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 ** 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: 24190963625851691787720611826917316653354540427059507138916130860969237140432219240412302688853864050616036062104546058405646997046786638733828489192107725166412351747355954931181243829937337878133667182584610877091440385091727570792066752291703960926643381360307945663673067489702712489778457588337293752655984000415266718762255370552220324130787010714790507389639704971119453435312361277586224700658856164463663013577287347366439767646953103068858468673792816078328212421474791290104475640590301169412738853478516726883133669998421160591642561799963383362503574245608375790349226405072434221620506925932245382215949924237775383757086691686780331262198943390856715729180592494663078533970829971238221561704782483643174812651662609550030185145864514123297148700883410890123900460238243912569403473189870077753726156048283801854953463504501577675603310290392349487325460098880516376168905740514231861821258247240376735226107269819562238612003566875182208702804340105365164763446364769783641686860401663808725057456332371492936342501462373998876400470378024590223020971525912555364669656396993330234533546371780883727970512238401275507781568563435855085471644932441436673531489063574139430016775962941929973105216097337830244781947716175395567656484590779124354289013367923550363031707812965125013393791772652484971058401831969641574782163968882204443429569691810250017910874977522211700001068266181290856364976973928781652756618480635801324726157680472313786352560315628987368039044091963890267412263687016239265109590510733933209700817406117320330905865654440199861874179316461247861502385621820565361836602318047803172616049073385630240432205415513723818191589662131905830847528116629550801857394271706186961585981006728497889494515279747035653413817543885988722632790027251406365744445695580367260909221501617126161044390288344654718519711805659806800448240383458798261552599389271944134349015371966854494743328625554273309663534169543729609069552776305867031239857160505421354296947371739424145156202976526126563348093160669394142841877768318869344757220118084284362423982387996525011647835674548467650905452472953519704173136499219348407045756659046547066174171541878835476991726444385472030700605395638374835373053622711506746108179351465863687616315599474523715239741439694971462127270467309546114495622333382352272534114460901173593681743542546467911757004242879915104857096015222619149039350097442488950490908246447988502057646602306880111642948185239154579010184260168975930996766352549620708458511819724175743478177683340467209570090229697628483277397090749993970073702432183711149040348472913663424114857501679201932025992796442672325074953694934352080403139960779401716957366459217308704558761306165577072618639932147684044455432260951820216225957320833068928375395587707583427958900140874835254243741919728659014460384918523539847388073853336260217201009468938827930674042569014355607088339608761111448089307252072972481126259525321077035502372097559858217183144461277423218958420804074629775336388162720278589217012801460233521561680786780966409230584719180519380275415552548478018174433745898901179927363450549153077565721760643110192321250316123081709917601303606138780338992096566331122721803272003236063214059622915894489725277403656416321471575311899497442509909384582625829570373931706059842728337234610630176267167118095810085073194868356038247783443482520001148942118662334620875650618739334637175626097955691749507422372951604300034914829173497131973357205811539738357843235011630719191406289567263044005075364531617839724782374005680413284211553832880016483686318660580820465711938147893598752555590238513643160829384517202846940634273986045238692546993456042933142967061702467703746516699642803543294547549479452620438645133419266090595497081595949955940713270239087282592497290876592113811693324054107100516578998015800443493138367190242105948751040342468365725292382043160318895803525385810546005271895533936093585526674416078683481008589047186527852668334127171702307165766556715347432318608655848587818119485959764764010514273698304126367890562546664496494571399078829569219060839127287561566949002293006600200484867921499668016696524094363681094850547721509206042977182427379998057749117816926082630803597816887453638588875104508484875714391182663191742171864934832303300256179608044057156193882136141509984063558015676579398045737886723466178625922948273735514516082459473904354596797029017151131933755687480397276628417703032374443493420364611589908584366117367092583431365131862014563218541857933362701397737526047706401776637055197130201150243033140414202075713551552027514158446268238793713108292051078876166975731038712993783994188151472426503361638533019885650340698755097348146620633664236050688014674812607682213922534910797093314667038174319038014264297628247438668117176143771987142828171141917885057057122986048271685436530820672513627740045103477915692327361397250407415122591356548817875989793169284653008061952810764773900438774827748962610804953902930304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 ** 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: 11858957787583396481429877625356434926798659536144244664267057594837749193378677273810417849854767578913873597236473760255055638383824266277313809489730734304144629727748693425422517101907681624213432139662370121208833190755746225206164645052592179287381432979564198944922848053178515664665623936899297538077943511996134451058084247737557613112603892783193044637061810830419283366166829835296581795028298834394511415341341690976503884918581321994034138925865856628158284847877592949228964791116737979765564735826019690897414167748645097277045893521274279521773941450065155315715868019873228127063761426077546071162691247193231330716594087457123657418977979840621993562411408264140674701294483962968270509763657137066263402912297930455647274387772840914250762429736327593231063219414815092151202616055427991382914364413503279176272910399651731078946422446376860870566450695537668124481384476610367047714266387118742777401154623636463418699360279425634134895770506023142721571644869475041193075259226906392419098635947241333875002951926928142082846507684999304569522438036297113304171601523363096839406715938578141145521301039322780874916821659741823261566687210970667581273161730925805143326815664734920855373660975664457463028335116943152258126044453627031308191330490172648239394326707154666590324651054016306082130191345224807658897956791902951987063943254863302387432473158919188813152971514545221251014244682087738137325286579068694292564966116379984237348706633154156388480253685729285827969648702841724484541366210552817376100863192866410436843605843360034368606317824099619764918654269920229628155266472715001048570293157130380467639298639226062402932316381765784949314096339941329350488267586655091264985953106794859308889037659699285960237325468747341924386839788794392055787611427328168682056440992656999222057476204750280759378947511812313811364110236754889367595560874433666147515277046449039443601294293089581784623163180251564549556966409436020599412507900454142201075701009423868345886281892344995781369170245589463900526926140921441616371855484567342345770241642771999177261389529092159550142841150867855420956793458715262454092356061978362942423954407290580421537963149317349762231531720488550982960395873468704257929447023322733495123809255295211635763537867054211497494397517565359459298119717268621254445601433989487708526857826098816256317998594822213850520244888735068700779610430055118373473614998116050521703993082934895483048806107231509159590223855952039796319706839050610191492396251160212962490139486108474730309376868927904914007590024944979152854091930947911894055645502425837510013823091129329427945484014685683409840736362099728208371391284486125192483452117718158598426878205302005000604873028077717321995233533951059697598008234683665536056685926872858332142525040931414355714866966017560936310520936960085510229219704281301434283733481172460509508457220859922654623597398519969947027648472187232061194592917811000452737311417099071824109476094821978365766961324048953693004570397765789678311950415379007628274439700001679191453229838508733232794590526292752779987743708981398288649202118467335899170606395172123414244767755785837260596035051380949246009294709276818721764218344321589074924225336700725321126631422979848720010571709552126041782904985591533942864515191941361734872225515403470769687957066134035538750385873139043461721418736240224777193352803946508088915877642569313980555763684244764716174131248794154175979920682044532322099826007859583637688853152498503029033318156155639154378496463549869157921155115486472681292976536581969810263085415767235051082880875716446001295818110584277343053403979809632758823188138558419492016121176067087034932852398499630105721916931402728531633076099676630233351846605615480171122014296701986998548108119894415764776880571646307328272281630261012662350984226958356502613339353413525791884660037890761172983637712152263063860896402831742662521823120762751024923072206618992096234523257819784248730809108471835360699756411087339342432980520075498497020800279051977691574652100207728600564831839092802173014564611073789681235953537936040698088637592395174678484169971376915408722122828118747805938992730699965498328286328646702731780160828931424512044729247159358694158529456426570786268693479923129139960090010457438283891688349169515125899781846158310570098743167809274845888580428865420088713562558450912825182792107247448126026195451851416409271922060878110152850151698627385704001128913185703066718910980816612008098788554596661422973008059280262723718677566504344142551822515306637450046724370993403178691532713769545045338016056663648443733038774327399543834230577564925013565058991337498878209510702477649398848602315478718583662308011809861437507853887536550409625178087333861012759176998759662205399437414328463240755551677446146031947811205876920701916894442100480393725401026721844423211342294004515983871732163895926529218427976244235293662183159227255185067464953580630947553109911975406385097792544010822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 ** 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: 96577199197770096857686245260197214458745188298726345020179908646059810697442664947634954196735821353725421714974733997236372010164028916821006207979718361987535245047188064240610430937063167020889718142091751829353807505076585862806375036380893076556600020949146261962900367258634370923102570367817042885999526162599647211232179228235941957371612586317937750236358483875029459119253728625284594540315848940988513998276818574937182460087232693917490650618172104590600631811453852273359760338298947888363985506003915545088883893933227294967858568435326248324233059662440728719554528329641683778990125694292307933500232036732978025932086723418304845809347464287960692774734336874508967059383765849369168376356363492449191954033485075062619638722664929765497709722802380390500482990793067953282802932059402696468979347127154143986757885653869366205142783645732943215137466120177193015844949837232695144054029813095430355816782086351007755523119250189925908040175880095738114981749675026308744377211664078918847972268403901767179136944949398601141293839993030154648122194525842507277438326888889757561592855179283695587762648999387945168388381354707113745313780490832176879403387581483758011053161528623484284019598728194613198952901466470041236931717034429648401576111386414987956602567377023960556313004157765868741405525895993816132234983405627427334198683187878733277764659140109400923858821287241515510665220223449747928043687625855367999774442112873840525833339961276773370447125464442359482218313663430418682020344313275789981577576712987701059323141030116212790883084280805392799511473136328060299958538615180163389415489096266597334295793784243405684460295159537322931477772826161814269892968540110677421559988857145495833607339074681867775107963771791520518998089474019312293584939160601286660678717900401879005377683186893171811888113798182053203621305533592420310275844201618099005113781695424442784124753610945292547540183774460200789282570276804255622033742297079442149626691472563610928669535713589538010846246171467909202586296322793215704933281110567348332012041627942391557640141878468487118718861679733256518252638583065130416249075560091149091581730333047274017821650929033991104042110472666504669297529791897891395636962049394984813260628181340958238600259486694641268614402444511533012268084770569635979496117920479270029214361282398867175631560816794355842989625768113093364512397581695755466503867078214263181105484986776941356635178543625620208225483423674971684998897835092897481538989512148560747829479031266728818972802964232318543005260150932948935058399729475210904498319527971888859726955994523370975256400451329328790916348675993262650457348449764520071752664376635041170805434743497779956453896104550920241538060626438056973343803431955232143757044102072635587523549144722898086638035718123930121761320530583110857961058622835514077998817992946267495273573001826988930667852896165514908642511212340949569273442863551754882895904310614623175278747045245332541024905603961865128338725610275602812841253572123105412484788956783755362628068317252115515039034305518334304994071508584422303112703831164878852378786883028777020041539640351631875887456964887422221129285827306809144169914963858664070612170758060410948442087140188305603821952178501918290235739440750200943158279864669625968960970001771909920491033646628093234040375024497404208221147474900676917046651307546659386239396482853015095229483251575750280313113731517775777505774622523861626148409028217485930689636744145597066093140639790309581825613201946238393216871578722055253122941765512607200495184437574725906091680301199741885741967744257010674528232474977437396993907817845774464472427195294722614491883063896138626259469071000849932130896181848708899187036049695177454289693625954811133289076994219846423405365326124656875160327505070062389585987292511498522115485115562756030143386188419599622168143865539603229535491187355788596481861615532320975207342004416792249601660272398885424110961738320217402524835875195199821343084682503576437116671614122759431058796829248801336360501071821872595486381494123292846694526361118379057341868351241095630681597282679556738683946402016176824306794572363818992668767796039897215098917437982441999283539506290955206832311752744253731134818822904351367977122283929585112839294250695664619923671467547351947027496665136317895653357744165154687463523173298475976232463611788247687928322911714650981577939426722490619189342404827989288940299987704969342309409420636204770715119987937756249727172606624656968365282385447670155402601387368367051960817657418859893865234306143650840893101407582265440376239137296699861867353425630550340899740954969383866300521378164408984782210764345790331433465640236513805443745252235883654105157438406723998041292160750886735117989688358233196776677548551917546200993647237111118072853225067682506432310474867878623025329187905862994003438772040317671073668202358194883946376519076743792092819085322624043578072969042089122148919448456466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 ** 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 43208691465252048341124814035399184152170250758845224820104949013396662455450499637494957295752134052382040808069526513377412402696183405604042729662424810159074667870767988991964138228807222006538981749228525443599310785633072714226596308323286201913901910536257099642826187448260310156642648142313031828308265261993352830187399660342006042108171658181205936007014154443446699864797238104367612120374315530649742184103579497697308091395437602880022880126336971622057573867956258371948942797503719374499622777695728255781732774419665841883559832639952938276881285951958965698340261903140554725760723419081861871517038041146228975001574824069070196336215670305861541146090804498807612836819860063042778757756931393855833945058433214551846591192331524054206433108415115036228503785905016209281846377434090809122735200752528585567438838850153876000646769192108602403719670125860235102780752764932781514133220475542848376797606025136158426600160372426262499332753185305929029665192519872164000803698084277810428960389581977539104672284446960046967495656841967486837158104826545008351397999247662455173815204230592528166946230830062901219227605140324528454067559859418749068179289425874804092976812220957199404359826247986089662208230936648320242753709866140363571980615424356755494915829256185949312815914256777299693696893788018271331593623038056651913967506423464422380280136556701098529789148007859083923329242717962438419257736131353609074151833399643236985121523506466266541306683353775438152989830812716518350127175530922602541134639614046219483166820772173184097306464744712468518023825116053575259467074499508740952534907251122345324302277042288739576948710857548227822667168852497724373657211583624469865944913113864086643083443028510608401404442863240380911107871217891263097960691111056832797227480815348212033399058012601471952613905676096426373540114569513583620947578475685727902575174709377547307471279704069008268459946212245043006061876007429445829106917833647830424547772230463093086795889900154473897428781226339808279952447844072465841139307395627922208571591225213375529490397991829552605321160305154309956311102676505295289460269937960711146314175034509206421423506702211466437378048116118488869628656969342364600100419210304805610723838307062784140002831880403655193252537195937048320424081042159236698674041263501929953892741317095792320077492536335434275524219439827063102733246932935030468024967308995338247663412334543349827406883295149342793071509771011954382830156747260389687099162446750658115946053086881154362311715069817937956849857626259142951733394474708661616553798473343997633689118819154388695026778072373068132689795129734803729796752476127353333913855101609403654760176790649239855136634509621268853208808344059252518624014704205488701763834881829495522214701371809512673237025148814855514910504666602747810028146087150268804956438483690485859569722699056184331391456409110106395914221145082607313374805253417509733755005109694915997852744833434546415287543375436027565725200111751330889040126598378504671569148016694258715751682065131324250969341896126094729360797462543882154112124287184142190199334179466619034189714053760150490411893906359601184760954632304811850408499300156481410237896602702128551228058376824463493545636823020394088203656230006153559476446199704527722261761013994295999023699094670895528901832707591085241466147234399707864842230918978753804387430312447959261924114477070492449502447047581932852692217526880039474226483893302548487835527162408827874302507864483971553095520338480579836404807841638809193882714352467646305290354933304661091702026241400903914622145989941851289106487555864899230545586147994303132995649573669859636984492689349248592801644955264901622478928019685293753568812396306263009206996250279090508419303919499405517478816868532163121904155875177354345553776690835613875387145589379951221114565884876498278662224811912998679884603804551274208632114674494517212567132454665711227795290471660623357210324746389567056796111545318722198615117701440087447646183501782667202274239312337318219713139637811739053445187943753535229612311851322294884897892162392422738174198843082066216093903584070615192337957154565627900002248052242949595643218011230164757348245019774891870195350693937345207620939479223797438823802347549191544892764875040956809992361953197399306065267967834512178425229326066790846808027672701943512064430110765114692344472782629556971105325630338008765221340547842349815198995935504692480304027406934078497643841942542800521536589330563965907911366095593442594468444720974538128015263767395067278405817948928700679079493754631996786155433899600827259091713580416412160154353810391797493724880791624327793538812013244724460023416415788712729753708212608798732382411288900988319566330487454770536413772364966309822691775043807574594953310900778560308736256596525545413055179299341069513529632568218658756295744514355041272616519807295583513343702659759886473604083288141769885593834534538232307543648188249183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** 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: 21724469135274563666759908132125822180139496637277138097782912556960831721853476372742966968267584104807476321091086595309856431893913712986974849070764942151227078822846170733189438203434716824496564334042758003721620260403893671643266364647136145044673201570038821530453162549955624273411039521219199042931064637292630896509738451840161822061682376441841423668648746360510356907290910771581987476364795421279954736390107640748891625494410457527270884347019104516621397701310158844775167923665287240313189608341670186403037265990202011585385114932385504145641998236692055490890654703272173634048852253038156381894392927999632943223796549964879085991534592618862438422990165337539780020186774108857493017407958382372218330975044887014586178056095549035864762882033842707200837365982953157841620445969887117858687629208269359236888358364238453196746796469684203487486647901013811032035687426120181801107320168032840038464641444588331249137741771839974102044431370013001349138562888444953582418063194454787135452629834845214979817078042628409465022299466166705668967526225029831310251795781655092349963634134544715116548326731993876371520650147808878261219727664218630665423714444411523132069945306826567637627367620037612084396191185367020919524513774247056737286005126373526379002294044529259498866848815824003417295281728181117591146612268595615971214322997204261921327192450394192147689936180231092403991790646723287790984553509579487608079534695254479384062985043373682663723759266700610820547110437319364979671137584121228640450245396170891609518708306729028331112066691278192032606479522788234817799288588841227124863995167510903749525232840681547320981322730521433482887275813732702464128287298830614726443455402083670120439806991769113111219889369164953087729271210295393657147540284455223918651688492914531991760332722749936496912066478821945094941366890874645752957172852912818932278833863014436457258482974228188999003192485291915632624239739893872043094395849137466016113444035239043344587208684674117719567950668728243505930778340706165807257092598874511920744252466994983590773349995599797316261877869258099678616297464975824655329257537254786664113756624686109124430875357458363333421850532948443909449422624870434284956149371733115374876342616981435947934399722752413364425599421371645032981517741479710549002077104964580171020526017401632696719420524048777206335710233486039708973270402146254675465623820503803185161059980932742512744426845760435398661804563121287071437460736801917494288925195089558657349479933390021771813731782412504358959709494150275981266415261345619496834174252008566079346994291653488619367388273364556352240352027406935796911526142026224839815018519747068051753470926263841802732042649280553030961861165271471371313028034676933548866445622727869576256646171551613017901246474477196822948031426884644881311121262193947991432223929655055443950988562102596200381802078881361087129289028004084193213757454721223338725437498383507474565530996586550871636121202380453108886198646262071047693135140266493669705037765738941135366921086925532444003302817329016170533808265947650270312620889163003712678554554200269516301561908750852651155607301989625903085758035833150366050873946220575012704008904453411520237290082370919473819275452524610897325306108415343132310087865541765524869815143972478060638206102349590119431539823127924457613798297695447136778279315328920499397272377876267849460273191681679942960798347959527719083598085030988601326355486015218051499879490282019818985881588750956926827231517181260586089744531312587259795077849238275123613830696829770177923935135664313817162884056266148152293542669592428600214885732989254509060827485059373655734056276892593565190074914065484927756487548199927024104008380369591747150779342577943747410072004700723262382501810536213178934902303460673461428933271301918163621248197677762827983394496971545933737810379107898661686948222166524567959320729370242295066608206610390391727213799334703065126398100625812224156899989022715894212324574165044466521057958060672843560330010210572551672663953667479703552396596988491549883669308611944074897333171976199322022429671980540216136864264426240365899785941035410046644226716342009689789762315805521933624638881843708453378218373283191844068719657644390166282575402448697753038823592274843761259159020625002505621298681672125162862360443896228029976776603595225251271134141595276175304227171907482107539904520776548812075195834654151789112474587939544795074660639324032319591733322315553093537277150007169765271778847987530821265868054526907703831262017324418850136914418402718723297865939933203996165492791228839569128135721065974402882898829925965477357117451267259699849913557106241134560870800091362193855972382866430392024528739756055056161222348836722415201092727546074900835297372538009173251277446955202879320048063264958978963511403142712417158840319997797554861208768074316768986252158147943160615543952928797348320772929938244523511072687989334050760634847549794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 ** 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: 99900209301438450794403276433003359098042913905418169177152927386314583246425734832748733133244965040316439444555585493001879966076561765629084713542474928751988896298736710932463504273731124792658002785312410887370856052872283901645686910268506759235179146970528576446968015248323454755432502927865208069577709717411022320429763512053307779968979251166198707717857759555217200813202952046179492292592956239209657978735581586675254957973131448062492602618379413050805826860315351341787396228349908863577580621046066363721305877953223449720108084863695414018358513598580356035740218729081555665806071864612689728397946218422675793496388933572475887619591376567624111250207087048704651793963987101092003639347456180906016133778985602968635985580247614489330470522228601313770959583573194858984964045723838751707022423326334368944232973818777331532869442179361253019078689036036632831615027261399341528040711719149239033418749353944558963012921972564177172335435447515523793108922681824024527557520947046421859438628656327442313320847422215514933150027177500642288262118225493496005574573349646784832691809518959557691745096732244177404328404558821091379053756467721399766217852650571698548345624875183223832503186455054721143699341679816781702551228129780651948062954053391546574799412974991903485075443364145056316573960066933824273164340395801212802609842122475142078347122248314103040686037196401618557416564394722534649452497003145098900931622689527444287054764254722531675145211822314553883743082326422006330251375331293651643417252062561553117947386191429047614456549271284181751835313270529754953705614382395732279396730301060774568484774278321953492279838364361637647429695459066723691241363259321233356431358944652191018821238297409079163860232354509593887667364032295779939011521544480036372150691155911119960015305891077294210322304242620356934932160529275696258584458223545946452769231081973058062803265167364493437617324097533423332897302829591735692730132864233117596052304951716770331637095222569524604021433876551976440165281480223483318810975594219604764793885201985410173489859485110054692466172341431353099384059232689535865388869744270086070286355020855620295493524800507965215649196832651067441009678229519541616177175429975200098873073778762106858907709694116104380286239504453237895918707602892603934898261007748876728529181064684891438936490647845912116121933007079005370590421880128565594036990708880329668716116559612323319983109232250828661803218804394475729867620969358197843859279692501233269351946932077243355273655662482237878338880749992768316334403186044636187037897843130328438234704109443065914719283411909751852392123276743849905615636884329390394420026175309768506051329371014490863961416205560535473355699267009413752718291424072342679375650697655674759341013102253428300804090795873295442135513073020501715984242307604692097329072901416063539608805592023573768856478522400927771114891344924169956071717862984365339781808694741067511113535237115404365993108896974856588008878619749343579292462040517672460122506184040119662898726738030704983612179744846791007478463561946648292247361341151355671792917819680560537264841411283478582412591219546011844124093497829633170420025304186616949623187358606524854102222118695442237882891897120805145751413619648053697231645705649984795376571745481285974060773391587753323552156094359192751993510142222469630170137174193375049192953632951011152929518362828191918216516764559465158280489842561167481503678052678786627169996492969493770457948761466281109299820207370133303244510053853785511888034741481986651145793226849009930002367361685552941734420599253719652449979254831593437063439703718096114703230741869850350547222890271748503333683283002811329108416931504573899331839345932929949427960153097561187089189295284490742432847670062431711716227317666067961019678022045645890158995247047410011581109636337313293883568689494087593341769093878063985846473005889281759988444774861300631530687600700848372675277897773568300427789027721056838330214702797285953363321105640642639097245799496861629080196041417539357688765879924285499121517379242703432486484142474568388895418932414509875057594030132496975416969553302968802193048741635010979200362102387682751763699809776149796360967043481401241306835768799049974365962964957054595247353820003637703248949821033313329135623151698544104153170541939282347233988484535521732036880883121009439414349382822035496502815307510870986046812248029738256312449893319652962023726085865090503079933086520012316719151827657420956895131361840954121214737863110428977178614481583169658487669495548262525049612270447147122296202746823629098038774693769873589421254417923552983874798304502539097887334697326030975441564748054737327327672486527590349953363541269539004588549886835749278646152520408004901147858922890854433539969947808674716135197858385714564215831711930041179894407902683463575503398880867251278835772976264992138274365739929273022387925769242327854872012972553860719683037824830637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 ** 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: 16066423934660587656348597577720512139099630448666355164205838244112908175237909415390960006503515501289565581052765283515419294604069501227062081732775013227599629692326634804563229982013353870996830951448535885241484084207071770309002955305222255664401638270070682970021184704246613097979041530643157127154642198204024956681960221280703367752582477576182218818551922099066982005816337811399264533310563944777532051471393056888066120544632112694246764021185677483730361251725739027176158069128959237248961274442905105268955665558219372197360612479210706803267014272580274963298586592852748188670006976876773028536323177160581180424300419368881077847732792749239800333617620870010385775692533842271423616392380484988772191674456826806019297904237997587217002054221697704886600554429305509887881328583699980064215688731546124989585192313749383218696853564016171072753158587131817906162148639064633469823133084410364837779322017351304139291938679121952667231968204592616544260647096786745021150300758938077701520989765542239759619874656806440945535938638936810085644458516912409136084834949896232611887896317430671191109883658859831373721308982451562282497802227715131726161953948634469689124362347208228212499258792200397062499118222629543128610723681305020396317876050532141111410279417289387067590495040842654145833730723339565919626243441135471429908435913234239829573773430345025595767713816970120820302046550761844960774273329072005558105219725370507953758891650192024218082482958078330278734814271698942857662616080777405337219397503420031645394577328990141819135952036118464790323039864639263969103214953417073577204688126874245891245778041209907555740252354070406611399996531412948682186013061679550869946702865077614231741091735888523212325541499541931969937927565384596116677408034928436417854881321112418562378335610993102650205523465182080184388367955360061306873351839537261057776766058611683764672035927391908715177918092848398077425084884015654326832050279322282626749645587747071449180260301352773147322119944721479661624610265542676683154831186786978961172766474785558241907663920864090026336957938920917301184648766936022303981261004618473351416850968710059837893913842834842965077690932564167977007508131791374457157050073478976615396105562187281063978420615447556303457164332413279503430825738947741463810751629877096248502115015297348919074074122476484118749150466457340228093811930866997473713246586240211278994135985695011278009272912595031611416318319830154542382222918355493920606021995899871424676162519960094969318751895893076288807010673850836799549213769341933947113704684698895684315564881055117449938874949872098140815362560016899670048017371739027073233610525706980180386701666338478279682859771061388934421143248617394225274564602417728730646085882800261552866624800574358645983610025235231317141584923629865865319000011764051962250330266464044665852682454130045778028309332534199985106735443498563960854517026041804378516993238971479588052404358994056413224099976825196864840901334112558478784265530698910798134048396538649807784069107818896299401904973649072194293796731014346364213701139207855400789437256397531295091682802060290678318121231540048625248130451089373155336213890873578144349214489823990667913686306778532337801514326985244620164339448287249835244662498495271458253904677007334592900231508338060215824581523394372759417764149324456245133844519267150474242953742919171884143425097901044649334733331291586907542751091656601106802895920497523901547956679792959891591198268763470424156515244769670066100852187797980623512650368139295830281244544938970998787292301982692369465356394458994033263357837860564005620126064819598989663598582805647104317973313530782033973934591639082185866516010294441939327716604818779756912326808788884677542677336221609961453173541544661674289865905361019576873840660245432005143735545406598078100749336501563109502182008459185113092673864599764082049526827081081364238955620563253091843748757087527306959066805376682548020284857885522415689510184408678523061589639300442407283906735872865519271774760506189326628879479921506197285250181698002616473592882778681233468858221801987584341335575030472980941762996569483378439005082395997664785726729201491801793544370295555777232147021857878721612591068751918673060877029217145117626583179463052736681696650753213180061079135597132007123861572226585754128399734570229671117148703343677628247275323653369974044984356127326019362035701277309144993109453197803579041445272105814169894130679599491631230447241472896634063878267626833474882805009388723048740542735946038034892047169940330941338135840372448570923391091899658666022244180377180951173043729336490954304363385030710634974127920618706079338382105680364598515226301070648701987058427033701276937910854120910219669040588077626186018540600090787847107980745105886073022129065687057846801525004521959227607860983470596761485274323217669231873100061432619715333563863503517085296384376158601368279183186119848113908152552080932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 ** 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: 24800270336819079321953933973938489956735381245108167028302481172193532607033203540283369400929083195943423984907193158327582808851491116218709315726179334913557178143703546054248174421060184667908562166918703059813686051724659027303813097690831995181203775560894843932987253272838901141124204126409614659716865222090328138296732007318380933632573474655624617919296607170238940175420169037824967459823604617688639610217820153440043949303510694549278440135182349649439886959947730968706557313161995967797707081547919156092217815671920541004334504111985143453449990574196347839561225474806123292649630779555593763243941051034481455429818427798815292437469730244391395251036966110938741805617512945013498676206057948401684158451588641406473613767020911949821364230177831587940577761280161253072804861835460399184005958311451527996176676164281095515944008444114949491504547115886459545371845637644073262618689333632987727572880665543693579084656827842594730415919356905711022260480617036294820379575471096790282980945390727138559342154984097049397914333212216192797825646826281331972612935637344253927880200542803496660292704770084060027866282531713513640023349541076733444655658315839956581528662710524291529030354652437591552018272198993278819102096061982056841556737695544895663446355062360498226285814146520701206521252188224972534035881807645114334885138346839629223849287491853395651534940750433253124844683655108753190921190805727698623956038983695671018673698305257369876271243357323376586388668087116876486884017015374746168312732078986452421752128164994723525064372549152323375269662274835518262759079610846113851238830767785925774792966349469317752386651379051778721773318105098361138152414640310749684481167769211574714886796244048831160724968440783213205777844492528961339306220458756317207254388385797182904192774798371353213767448333600795893987434466592052172144035850380938299693079093240916759563278509299669259008534471692876051569119756685698799186521906877271922260487973119697008930769613502861910168327843618332755886424882536555807174608999715555483518569228859760415124628946008351775184283511830168156075875672733721603008544811458364950483614748564947159312544715905402335787268688592253292143262665874382219199879337511514687246907463193307917540271805000396977028377263164352820931292202942008791392811010175835334627341027577542666343053886030085927092048662269327408722320009450695963353770591908397880370013116187248299151899849678714711478535023776039413245963825098746796696357657842527635569898132572635116902514023392717200438087940565880845300828452978139647230149515677119744838042642741035874836104256924098775112402495260775300002034206350473734973563090372812211007285894159855030778721180704606346520567016264288919791857026734184952137830532665147776333709586372292007634356394346095733234014403632085127376780630099583074014328425598086640200634334520665090276463228495990756914712944379594823914744682250796100809982063402783990801592719420554786721902222208730793613604828912415384410725668105977265402070190759025229336910952579300675517965451346605262425304010256496097261174420544820686495924268457765571175753783015165890574399999216499126729482519128838144487351071290121990660013050034554808149710234776391663939618924060713650319809803801205003523721891710888819969228782190008271081483537701868444209624230221902953720800259337567604579967619930405507197010683268318152711125145222215373451350015153153713612819167172497016141867367713364164363035930562104681077331946250253356656569802008572383811416787365175480647180101911565341453368638395239519207998149638051151716041530787181893496386417698416406603431796752439542597796703717570649791458869020249955933813726058581040458792313299018036675990106892069515172956692928118186392518123784658261182270313443226061594915594364619270272212535192432478856632353498577634508692330121195558036944009544495005123826939562715495690759346354377980009979623883321801631920549791678029362239622302633524365720268771488058265901147942544898395901404215549321143058682416417536920882620535884810325046709765793431424620361347025883377252408661236020826047823792435446918987876219467359021620853876806824520791012356555656929040856729556144288883806109579357437893650942180159608256377737267300348558226491872882916841432889945275043242336292844138682880371216473998513619487303776551618813309268088580926153320363620231682975183912690815768328668627355513028786223658494666604835916696830376159664266929212436201674791648610391295904099974548893512432227943197675454443141604712385653691716490809511238642995562702605483211532536352582379014722829148737288779954467995875478437179798692622258257739539733107194957643252368851546502639762080289988830370714570501734692780342332184726273278216055240422620369669109693463778381518950770793107751085502569256163785486821433473692867175489890018125136912143867030272351318427984189349678107504333284768090536750612139265928289389827144520667688158204130366628010657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 ** 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: 46830845795733890763020836258433982574405660617949801229267428440750644015513959765727365783227449820292965099257335225594591792561236247096148661314545953998620671840006287066284225343139090562079078967409729604440517890496549646423101178325298617176932918897839047406840940878957415391631249913025391696782682455603215707271011872761703226344041317684899745712830690181347282071593089421479089597321135745830953492220780082410713786197623108971092049227567713670810862780690849992279314820540040599759165558489372565275958394244602690256588584375590605461814598315855647122759205159377450140498563663913267108131523770384046582036038876646521242746025573446230914896767392513183551339047203160478264529437859693320877713990320558563301663049627091247248081226120272087795950527506370994806325328330234704329017464342808041810956727684373514116288983351941619046450612979475109582220620675516041902770315554883694754984582357517575206515589887766156217799189757447383402931134914483014417715763632655456388159423209452565142138110196331700536977877937699946639941097125800633867188888360419036886244648599437301122602046839338063513636542911397391622095970849002826915868195943065682419423691748643492278978666728529743594022677672729247615901603406932159576258969240512200492153777228168885315965828625873038312273060359587629412412865709024879404380132777401361854625061562950022640188129442474804235714090416202810574417665909206775136552359783237089579774883282091443027685280853809179694350556299504977662960110180577553055031973777289661664856138325676393265533690887825207455332247212528769146050667550998283494827518061350287116764250902223403290284156937333840058181756665472128995517385086207099984867574697796381675112837952809874353613709111155759708177401926241425775137532639418611924318425748981264566919177360064157203463131955244880108220256758953582013466698913878430527316150001501420209635232681564484717833999918056811061956210769034345683545099350739220094591774255167084078134386831636896118774163656411788570070668408545908773317156744793133047483002383205569227680234114753117711288763544831174636991748533246179183875293990450968031022218810976803109267100789417546171719177210873877924906962328554453209660837741294258479069303742925454966517793204802446459727505412480135910400802332883547113699890708017360475674613307462661148018151215753594711224293118697945910025992311471225247718877603360879147882787974797113234331028742242379768275368574040241113736018964885463714687609000634522426933607211687014584705535055599943179154256211657280261112871903451064036211059976591681991792996733950316385514075973323029735196951469288237888204234610487677146522327218763863181524964473471725752730908384558817895706300321981686682565823419759556390514465925833602496146017472650217216903406265475723442090195614399842053208433788498242833286523534277396933172614566593484363492974294999572149794724205261686712232304937946924755323917221672588015191466771531300069290390534215674805789526225540355289123208513260215081984062607795632930751520397642203030435875898301867395691389420168551512356592979501101581295702847752599522276532247068819436783434494751722616381531543944414746140899442408975056637020251246613157424025705195172031930142301695511963644537103185524809221230824277663281348746458797052129767213041464451679130886454194836444257042486755904466142756987091381657189597247268049979285628953851787911100431290886827640057365842668335211723527165983869878212307676978028931509796829795213545264636569395548961284293385617209360672208572093708859286332783859642129271807804321724497372382240152255024839615293675148632469703880786067738872279808668738810926934369334864423194589560709841744440827337942399893897303515195631596767698996496233025620110758795041250955319935525774078835455074121987392452257390222706348950989034304073891974285559915624930747158688189868439662609373058950068894707110439847648354963820343250888690895237022918013018675032932569033947047411670510544209719075069134659443426515860336295407990341448952735993445095612129732157773136037985428950270860873518053566084964783154973315846589407404631263712051951398252315619894368428284633464429394766225443897981367716764930805804100473687831745150972365059357065762304585842400673087614061056506536707646940900746151252606297872119532113513486495304395768056680969295496192685119361278285489385081279216811065472237734923955983251805708263840167004541299623954895873269901213557543464589905730198501378394408864941843880930628415743495097465244014871695314049648738258573768633370211836033683168068949271267866651189325095933450358513873946915473309561679407514849499916063119325000599665946304945957613961930782732197249527155947166522792887259961946584034396252700784768095556102151955456702761570924880807682724511872077239411164958941781365417881250134290533752166140807668871393949758617846354036401262920277557296099746248250947331877720123017440433006544398975864045389736893071639894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 ** 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: 61660636081819911235309422528512424606968212450694118058076300526255115223365863280758035230731863020186167922497121658060854121714221594559168762293002634775869237067293886776167105456284228119150123707310432180257847631910853425753348018939476599062150379945455890795364672619098960068360146019014350294368464896916440372271269983405804965341797341558426249256874736728816491644858982092758859960261965639409886248383359971470754336623646407347089659971346021557190370306129793738807332971550493494025068587288238541940636445020490895281855503921954712042759486052227965371866463512806852567455311407119223196854692054448630433263814302461793468815989222200535594993139766824063635073703991394255899563401019621595713968534702984090389819178186801311546583843207969823367522229643411095954875502215238766328348953325136957887109092197304163957847319336539266732233022806787755581874222517776771931069914152715915167689692221048363470224148780928900664600923475610367097276407041640364642724075343242596729989435130326644451892182725139242534214912072720473007952197560657294402577975530868526110900897891309671905108020283190128976657849341829694599619381777697404857952388866769797544417042987664138761883413420888179980822147053523857847823096585999969188791636015853212245311054154989485846227313236333696200382671769816812774907426416299873882660402910667157273276166234600088738548448940160011685161351686613149459531718673950790523776239219247037665555747369529967144289793173094954375476314631758899545403961809579826780229063078586260747088465304254424795175232363889171251137243655495436814891859857163261072260908911581780108317345093630671870679787559953145043548963228095293222692067080565230457466290585209102327134130816444153724572614163161838779839032002369728909410214340941565664526283832644380357388919771488218981145319018670357322678201103394828990042222619673527471998925113055479646510646374728738500161033173004276980266825328393140994036238932372178060318817844900386029511427131951833051845363214808984044640479493771185602387055284935647871113126895513104679744389126294281915169528692543994890401069815457296269404163143304526589627980753247195128238441823682416326098490087828316081164433123985755069468965646533523601520241852099860369899439561818201881296765252734286878074850371428911298352814404943694864019547831067047030172676747905967500232761402368967287958124425055635328382559530424718448783519136027769644805112986813618893524959660073958054263825886323314175529316782847833868457768927263478003579111284586640365581853503425908960909025219590497340958143568343663656610398863495021404765677007343596974561932104013597995115670280407230541637179440014133853083394608319845506757377845904982321958549337845039834726829439635014676006869404160122362417941170599424743575830976800419317948879973856160025367395783098064447029886283910715916107807409151133478734701837043342157545694883383085183767649627920720577072103849314302226933636882024534539699736584045588260020610583860317578507579412079220975087936226828468402652956186451621494574492648956161748333729788940795777490423362664763987821955303129532864942615422962517428975456222111963015027366535574243468402726142449328182298054820345615933589971134674792579725399617630320744713363570882273273283223966513179032219750733820367193821024340458894743310141890166094373178730229897244979047232723307420110576446559224084483467781087592739496982021414575122900382788326924686335080375465940313274754689800661774172718752351376544891211409275043516436550075536901250599190634632403178741334628641397852241034425926012511226820208366745243607132322104070350796777033930538869225411202383430514157304044167654537377436456208958868280043484967019747330864289538361185159822037410786221961404994535844370689535295950297036022243196701334727231817187616719680517779179897337004506672300650384703572638416215700134597210004213378741981680678735366895736933247453812188312681702271335772951868192123409277299188907390243760478897717935777185271867767059995452912780914063862657577947884236242744985807581099814037432179653532942299188427796250459730703229585097741883747709879939318438386062149564484742522404734541242449579377709887040886877737311699623157019103018253491267298360802295599921405766523061073245770685628507134354776300652681807060329851478073496516818220164166398570431485871261641700234435787730291385359393113175407493077597275778963045360563813003763272213831669259023487584974189913898037943364371753233290354110403168213855430205060617149991602976296473553873237333992603884633913491281014945570279209789897769348231332018024230543031403584019041662016282385563765975845948791338679496287426660379089567331854140301088424210244517120506357745816873670039310769227537663691406227881279945145855199185654007684818411585122597679737476885657714232075775456119237910872182474107282603061817760344385270031430017626744146033143589401700391755575302964643414422055223429659377389720691973070108287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 ** 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: 14213981944205592291151839094417171304924237344101971940038406504624000538389840850883479975056939246164246261219649919505959992993409556710607883984396265641795429675063483776026690373397706704883754345888624078357696231969401073171790717968449139047610601699199888140890761586541578712982822693970363494186963222658881380999241664249647632868328105149533336286434627114718879822495654350793540761494164899158396802472922728110252570289258929061859903814509892621794997604772488289710841683971731166846033838076051063331297484492381714522043492141976950953897948073905449002789166892800332201786610132277888586330825430540030182549650163070536324843150543968557320709120037980927794979802450042626975488821311278450288989238256470618446826144212339750967718828496840809790884549131996312190639364122920781846359198607460662473621262781316658569189047215897561088765700981168810271785146078623279684073735873653164016718429281819919411383894488799532516595403767153270060225515349773636428004714738677455707529506635016922976091146429136373908951187727291476877267379932909011722766168607843335581964099444862509617651729212521941933136113753664456432848881475983750150678450540890831657736571053061751572304529699536734619321639998599511700503561569308974363069486756661134652877002193700078533754627314750351574799972789151029584581925426368525491510218843834736107407233513196806284983202270504523286227729169159810387696547116461854328466149405664167672663500257479908476476668933080183359447688259909470200800932751612724011445684619899374558654542840570866839541427929739261720436289793419777185101258411142533768649027005681059949151047429916095164384770416472784426027383074359984265087470392722512822543751921635320670609989164766466050342507578852881625952904088011439022190794122345910068584891268760925547118949032104159448665375048900783259848252256248430771641608965478644773654419620215410769760526032412636747757202477870666047395276287818598774937085883869068201745938442927374611448711111302006512409035341185943413799066326926895807714111998724516693681695323109499674379535299551257666563062597903676597641984760503848524024093550617678164237203559930592647197268344024705898325131843024303431906856528359524681979908257208804232133029866104600043666592780267585479003139109590007544060355023898209265677183505256088553515132824538255591762924137150543707041251530818284081905865087728323251696752410979909230028478304973592723175541441907050280241519640497781172334067283588220213749039608818904299481953361100767944365171004867606010865871392366378706616825574595845722329059049504502549387971616626696645516382178064115277465976089754837812080520192957192482442399030150183708854746136041737654624682000661417185513569497434600035952402284902093312436256064685196086202704899389559630526864609281114667596731791556410462608144104479355081252930671749011908518602966915419544863534746762739542140673580228432461442965609968279805530951002634790783815079212140264929244072297250454412348577183758194416075304817109539411151792044563397252646030183355096865274295623166173608837047747603897827641135117913026094792617653880803279567103849633411612469772758500327933760449265819168611696962964539197496465875626281090100810333414276802041926470171282888184563853976500606288975309811415903855345090951085906155591736721736524260789500196501309964121435009899223958608018824347491237783913214562881946137298288397287603772121212473169021549938349633372229881838007978859383810412234725242910661588549842375790777218095829356422315583046205688664962771354132818513433300748398478707890818913805577608195999335127711496115790172979163220500448105281849689333033215243637050092452039889553197919159496316261093027149773169357342937918193056765005326287362384098251951083799322468408868162501192264961845985753143876574630189991867883905645119649917418655789144863745073092737755887335521663741468988021783461734740147609829128295654502147393246777257072139525045279457309797649166194839853590178963348228154969525449543398084716403401005617568588164647068900748865719792642829250158037947206175324114993215910430245407250521014903121120218089541885529549812827106537149572519393157557993257655982024698700487270543580110441781795025011382681457180435634049834785048502356891193522807263282146259804626901154509193996309890563422743764668493946404831788029905647743413824504588151927894114885187639540539602831505397785453213223583595732634201104507712587224568565674794711085437668044177787977969614752209230954169216363585765302532781575287013362158098492692957610869310811764501131538859795321520233066108467155975836612382418038346984189843671690252603463876795163932458767996996912630174654471528651665267309440005057199811687710405719143735603150636677993364380297516892885643663493041081912982178020812001091714444225778101483087437951078675279631990002973926396806006505853101155073776145865599476921553984250148899209271729771229174492283810524182685411819638162421952436107972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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: 81674410737793540291501585390316222364184912224450027335073500530765379395092865949493245689572359282551703050323064979996861649212698596155847687701098961688875342819752074719321766038351999093990350853188906135792482293757123305600405895774974016839020086283932570664499971660456561226029700897313942126023559386650566152656273119648795621974965271662329572103334301389254625485582727685538979144792627115024247480392423799774162452011351909398954907115531851966143030977789978008518824472185402266809368325067937778997029300786376802907131981702684617001639623982772342515509460488132489279831901759212842060498931366529869267886430050872616712277776501069688953646958170438932976347509035556101887985824032326966517536947288971548598018547087038027748853205656863846155312297143904999657409098933858995420414029311618953596990052421001440885375569798432703540945618516487478387328930621838506722326906754651224438941626561362257024800501711842955944564254155979022439041681406173850620540045079865333616725548544405096912588327993981294076711839163068271424943407772008649938281303754433549921517378525641417098597129361005816928682764466646263685622421974252512992956619961951366233297382038594982680331889876935476649334745207975549756193943764330352007185766346704538149465188157968597364393935756410657236051862746755166349059161614619163206073534333089899750823172607934635982521089088099558634272182385092102856807170963712451311210114341594671953519852386149022541840633398035434958291306084740780655658332142172701069993780912432926900341355375085621419273953100386502748441283230615000780137662732618105107226663612404169816065602550049899638993513246717402094570102662690646245539032191532393463813317021831063300731204181830573825913914763815268826420383214661963090473998393686415697921185319912859772038526328161069605946104773220961106097781791689083354618809098490066895543852120754996843693237348126379997038367393552348989698329319870016191490052419963925469578421706314787746276228056592489703258636411673174757564995588732795901870265561659033244138164625140439117958148420462357631007163226982093218302449847489491315353788010704277959543078518762864740196611109841923315082080704641051133068858928661453029075501162398461001809505723014770657220547778967858219150470508001654491254407273368451057082448384360604048117852658481789006739133800299947593939147968803265943276991853024872658329992425630704424429366971065545066469361641230134027963902547078393521944848034010762382657826895896773043332230038136196616312313762964618874461832049606242130098885527432511799544246481087391104996891665363627463537402784339813665393206052288204702598874487981787682577304535349317214792073687348613049641825981460125238053130481859179783983935227653219764825862908702309932137575639699938316224774186904349162431507802083397387149111654606352533367728589117368610725578322060180499974712808289211761875673514859103250325779282954079104140299042978379061268985098727306559945923097199102474924331075318558569990735544155712929341766942172979918604075380094564210861536038055264097169044158949676218558822794613121679251680988100788582709359816374040856560744987335414627001557622593553926818614251881891057345685330168694477443054079561436781489510883064884384549864425060420886736129670552176831624554938631046593548602984962628238764678148725400356653930727748110783685994599920905127629431636391878416164599061514032007808729544079091460540498097569089550869782195077823577788899554129360036296556621795399134271307904515528391026093532815243200164794315091717376982987892569017245191501342265181255904900143451619489935649327575063275855439582643388701023293383642451976158463685834236131284895518334345294092277982003775941929534210497007790231612709179431016707293934994313855389550051523665008821117502447728381806398067126778445763439246221924647551732407345566215133117872466821794455376953187917072099950381211866888978665163631474160757265417472840508143731759018366811707427958348385784918092597436390467664937290727403404281944170443923660359388649296246582051667874301863783423620704529388224236788153302215371397454889708512075979873976686688148158311522798576010790528844291043329514644915690362506475873617267217126164715817062353924253908262045767654389142199250533740649791845928940872218326141386905436694334701343143263547038925221973425514768257520397468264413219141468200673349251635375782274160603118615715087382477629363560945069317327290243116013529785993729427016261776465356361813944869608138295940218851477129081824510275849380593872557079000843898683252923176257239358959016396044777631639091131914879043319957974881306237324231359123820032736266760641549483994633873346443194472306495243758672225363966251634356579547676549477220567427627206555567039648941705468419295690808680911565388943283312746929265599966919972037492591704387247618258611290331973384297047964339461257193259795835415939457300820819049874547287047341538773022306118368258826291642677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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: 4  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: 4  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:  [2 1] [3 2] [178324917191 1]   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: 4  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:  [5 1] [18650197 1]   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:  [3 1] [7 1] [241 1] [3259517 1] [3174224929 1] [187936552261 1]   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:  [3 1] [7 1] [241 1] [3259517 1] [3174224929 1] [187936552261 1]   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: 4  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:  Errors (if any) and Timing Info: *** expected character: '"' instead of: print("'hello')  ^   *** Warning: run-away string. Closing it.  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'  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:  [17 1] [29 1] [103 1] [109 1] [17145523 1]   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:  [17 1] [29 1] [103 1] [109 1] [17145523 1]   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: 0 1 4 9 16 25 36 49 64 81 100  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: 0 1 4 9 16 25 36 49 64 81 100  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: [17, 1; 29, 1; 103, 1; 109, 1; 17145523, 1] 0 1 4 9 16 25 36 49 64 81 100  Errors (if any) and Timing Info: Timing: real 0m0.009s user 0m0.007s sys 0m0.002s