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A040140
Primes p such that x^4 = 17 has no solution mod p.
2
3, 5, 7, 11, 13, 23, 29, 31, 37, 41, 53, 61, 71, 73, 79, 89, 97, 101, 107, 109, 113, 131, 137, 139, 163, 167, 173, 181, 193, 197, 199, 211, 227, 233, 241, 269, 277, 281, 283, 311, 313, 317, 337, 347, 349, 367, 373
OFFSET
1,1
COMMENTS
Complement of A040138 relative to A000040. - Vincenzo Librandi, Sep 18 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^4 - 17, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 18 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^4 ne 17}]; // Bruno Berselli, Sep 12 2012
CROSSREFS
Sequence in context: A291175 A174350 A240476 * A066651 A182583 A181741
KEYWORD
nonn,easy
AUTHOR
STATUS
approved