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a(n) is the smallest positive integer k such that k^256 + 1 == 0 mod p, where p is the n-th prime of the form 1 + 512*b (see A076339).
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%I #5 Oct 22 2012 18:32:42

%S 62,10,24,3,15,98,325,6,25,52,114,135,330,53,21,55,248,365,66,304,125,

%T 41,60,426,157,27,116,511,788,27,36,152,185,317,112,228,490,563,99,

%U 198,828,436,585,1107,834,1042,82,101,133,287,348,119,485,2323,148,133

%N a(n) is the smallest positive integer k such that k^256 + 1 == 0 mod p, where p is the n-th prime of the form 1 + 512*b (see A076339).

%C A076339(n): primes of form 512*n+1.

%t aa = {}; Do[p = Prime[n]; If[Mod[p, 512] == 1, k = 1; While[ ! Mod[k^256 + 1, p] == 0, k++ ]; AppendTo[aa, k]], {n, 20000}]; aa

%Y Cf. A076339.

%K nonn

%O 1,1

%A _Michel Lagneau_, Oct 22 2012