A040170 Primes p such that x^5 = 6 has no solution mod p.

11, 41, 61, 71, 131, 151, 181, 211, 241, 251, 271, 311, 331, 401, 461, 491, 521, 571, 601, 631, 641, 661, 691, 751, 761, 811, 821, 881, 911, 941, 971, 991, 1021, 1031, 1051, 1061, 1091, 1171, 1181, 1291, 1301

Offset

1,1

Comments

Complement of A040169 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 - 6, 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 6} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A192820 A078653 A040167 * A333085 A085564 A158205

Adjacent sequences: A040167 A040168 A040169 * A040171 A040172 A040173

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved