A216747 - OEIS

A216747

Primes p such that x^32 = -2 has no solution mod p.

5, 7, 13, 17, 23, 29, 31, 37, 41, 47, 53, 61, 71, 73, 79, 89, 97, 101, 103, 109, 113, 127, 137, 149, 151, 157, 167, 173, 181, 191, 193, 197, 199, 223, 229, 233, 239, 241, 257, 263, 269, 271, 277, 293, 311, 313, 317, 337, 349, 353, 359, 367, 373, 383, 389, 397

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OFFSET

1,1

COMMENTS

Complement of A051085 relative to A000040.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

ok[p_]:=Reduce[Mod[x^32 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok]

PROG

(Magma) [ p: p in PrimesUpTo(400) | not exists{x : x in ResidueClassRing(p) | x^32 eq -2} ]; //

CROSSREFS