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A216770
Primes p such that x^50 = -2 has no solution mod p.
2
5, 7, 11, 13, 23, 29, 31, 37, 41, 47, 53, 61, 71, 79, 101, 103, 109, 127, 131, 149, 151, 157, 167, 173, 181, 191, 197, 199, 211, 223, 229, 239, 251, 263, 269, 271, 277, 281, 293, 311, 317, 331, 349, 359, 367, 373, 383, 389, 397, 401, 421, 431, 439, 461, 463, 479
OFFSET
1,1
COMMENTS
Complement of A051094 relative to A000040.
LINKS
MATHEMATICA
ok[p_] := Reduce[Mod[x^50 + 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^50 eq -2}];
CROSSREFS
Sequence in context: A314298 A314299 A349459 * A216736 A050541 A098865
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Sep 16 2012
STATUS
approved