A216746 - OEIS

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A216746

Primes p such that x^30 = -2 has no solution mod p.

5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 47, 53, 61, 67, 71, 73, 79, 97, 101, 103, 109, 127, 131, 139, 149, 151, 157, 163, 167, 173, 181, 191, 193, 197, 199, 211, 223, 229, 239, 241, 263, 269, 271, 277, 281, 293, 311, 313, 317, 331, 337, 349, 359, 367, 373, 379, 383

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

OFFSET

1,1

COMMENTS

Complement of A051084 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:=Reduce[Mod[x^30 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok]

PROG

(Magma) [ p: p in PrimesUpTo(400) | not exists{x : x in ResidueClassRing(p) | x^30 eq -2} ]; // Vincenzo Librandi, Sep 16 2012

CROSSREFS