A216750 - OEIS

A216750

Primes p such that x^38 = -2 has no solution mod p.

5, 7, 13, 23, 29, 31, 37, 47, 53, 61, 71, 79, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 199, 223, 229, 239, 263, 269, 271, 277, 293, 311, 317, 349, 359, 367, 373, 383, 389, 397, 419, 421, 431, 439, 457, 461, 463, 479, 487, 503, 509, 541, 557, 571, 599

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OFFSET

1,1

COMMENTS

Complement of A051088 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:=Reduce[Mod[x^38 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok]

PROG

(Magma) [p: p in PrimesUpTo(600) | not exists{x : x in ResidueClassRing(p) | x^38 eq -2} ];

CROSSREFS