A218163 a(n) is the smallest positive integer k such that k^32 + 1 == 0 mod p, where p is the n-th prime of the form 1 + 64*b (see A142925).

11, 11, 24, 20, 2, 12, 43, 103, 17, 13, 101, 15, 6, 99, 56, 297, 56, 573, 48, 31, 109, 77, 241, 67, 329, 267, 252, 27, 14, 330, 176, 151, 444, 948, 805, 33, 836, 123, 173, 437, 13, 136, 217, 392, 503, 349, 88, 185, 563, 1230, 231, 1152, 334, 368, 217, 817

Offset: 1

Author

Michel Lagneau, Oct 22 2012

Keywords

• nonn

Comments

A142925(n) : primes of form 64n+1.

Examples

			a(1) = a(2) = 11 because 11^32+1 = 2111377674535255285545615254209922 = 2 * 193 * 257 * 21283620033217629539178799361 with A142925(1) = 193 and A142925(2) = 257.
		

Crossrefs

Cf. A142925.

Programs

Mathematica

aa = {}; Do[p = Prime[n]; If[Mod[p, 64] == 1, k = 1; While[ ! Mod[k^32 + 1, p] == 0, k++ ]; AppendTo[aa, k]], {n, 2000}]; aa