A040167 Primes p such that x^5 = 5 has no solution mod p.

11, 41, 61, 71, 101, 131, 151, 181, 211, 241, 281, 311, 331, 401, 421, 431, 461, 491, 521, 541, 571, 631, 661, 691, 701, 751, 811, 821, 881, 911, 941, 971, 991, 1021, 1031, 1051, 1061, 1151, 1171, 1181, 1201

Offset

1,1

Comments

Complement of A040165 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 - 5, 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 5} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A122015 A192820 A078653 * A040170 A333085 A085564

Adjacent sequences: A040164 A040165 A040166 * A040168 A040169 A040170

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved