CoCalc -- 1.1 Statements a.sagews

Project: Math 201

Views: ¹⁹³

prime_range(2,50)

[2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47]

for n in prime_range(2,50):
    n,2^n-1,is_prime(2^n-1); #Prime,Number,IsPrime

(2, 3, True)
(3, 7, True)
(5, 31, True)
(7, 127, True)
(11, 2047, False)
(13, 8191, True)
(17, 131071, True)
(19, 524287, True)
(23, 8388607, False)
(29, 536870911, False)
(31, 2147483647, True)
(37, 137438953471, False)
(41, 2199023255551, False)
(43, 8796093022207, False)
(47, 140737488355327, False)

for n in [1..50]:
    n,n^2-n+41,is_prime(n^2-n+41);

(1, 41, True)
(2, 43, True)
(3, 47, True)
(4, 53, True)
(5, 61, True)
(6, 71, True)
(7, 83, True)
(8, 97, True)
(9, 113, True)
(10, 131, True)
(11, 151, True)
(12, 173, True)
(13, 197, True)
(14, 223, True)
(15, 251, True)
(16, 281, True)
(17, 313, True)
(18, 347, True)
(19, 383, True)
(20, 421, True)
(21, 461, True)
(22, 503, True)
(23, 547, True)
(24, 593, True)
(25, 641, True)
(26, 691, True)
(27, 743, True)
(28, 797, True)
(29, 853, True)
(30, 911, True)
(31, 971, True)
(32, 1033, True)
(33, 1097, True)
(34, 1163, True)
(35, 1231, True)
(36, 1301, True)
(37, 1373, True)
(38, 1447, True)
(39, 1523, True)
(40, 1601, True)
(41, 1681, False)
(42, 1763, False)
(43, 1847, True)
(44, 1933, True)
(45, 2021, False)
(46, 2111, True)
(47, 2203, True)
(48, 2297, True)
(49, 2393, True)
(50, 2491, False)