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A216751
Primes p such that x^40 = -2 has no solution mod p.
2
5, 7, 11, 13, 17, 23, 29, 31, 37, 41, 47, 53, 61, 71, 73, 79, 89, 97, 101, 103, 109, 113, 127, 131, 137, 149, 151, 157, 167, 173, 181, 191, 193, 197, 199, 211, 223, 229, 233, 239, 241, 263, 269, 271, 277, 281, 293, 311, 313, 317, 331, 349, 353, 359, 367, 373, 383, 389, 397
OFFSET
1,1
COMMENTS
Complement of A051089 relative to A000040.
LINKS
MATHEMATICA
ok[p_]:=Reduce[Mod[x^40 + 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^40 eq -2} ];
CROSSREFS
Sequence in context: A120222 A054794 A104860 * A216741 A290507 A139812
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 16 2012
STATUS
approved