A040973 Primes p such that x^5 = 14 has no solution mod p.

11, 31, 71, 131, 151, 181, 241, 251, 271, 281, 311, 331, 401, 421, 431, 521, 541, 571, 601, 631, 641, 661, 701, 751, 761, 811, 821, 881, 941, 991, 1021, 1031, 1051, 1061, 1091, 1151, 1171, 1181, 1201, 1231

Offset

1,1

Comments

Complement of A040972 relative to A000040. - Vincenzo Librandi, Sep 18 2012

Links

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

Mathematica

ok[p_]:= Reduce[Mod[x^5 - 14, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 18 2012 *)

Prog

(Magma) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 14} ]; //  Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A139836 A085715 A352954 * A141884 A139634 A173803

Adjacent sequences: A040970 A040971 A040972 * A040974 A040975 A040976

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved