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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). 0
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified August 3 16:28 EDT 2021. Contains 346439 sequences. (Running on oeis4.)