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

1,1

Comments

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

Links

Table of n, a(n) for n=1..56.

Example

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

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

Crossrefs

Cf. A142925.

Sequence in context: A138844 A022345 A246554 * A152082 A070849 A124297

Adjacent sequences: A218160 A218161 A218162 * A218164 A218165 A218166

Keyword

nonn

Author

Michel Lagneau, Oct 22 2012

Status

approved