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A040129
Primes p such that x^4 = 14 has no solution mod p.
1
3, 5, 17, 19, 23, 29, 37, 41, 53, 59, 61, 71, 73, 79, 83, 89, 97, 101, 109, 127, 131, 139, 149, 151, 191, 193, 197, 227, 233, 239, 241, 251, 257, 263, 277, 281, 283, 293, 307, 313, 317, 337, 353, 359, 373, 389, 409
OFFSET
1,1
COMMENTS
Complement of A040128 relative to A000040. - Vincenzo Librandi, Sep 18 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^4 - 14, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 18 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 14} ]; // Vincenzo Librandi, Sep 18 2012
CROSSREFS
Sequence in context: A360802 A365475 A191051 * A045415 A045416 A038891
KEYWORD
nonn,easy
AUTHOR
STATUS
approved