A040123 Primes p such that x^4 = 11 has no solution mod p.

3, 13, 17, 23, 29, 31, 37, 41, 47, 53, 59, 61, 67, 71, 73, 97, 101, 103, 109, 113, 137, 149, 163, 173, 179, 181, 191, 193, 197, 199, 223, 229, 233, 241, 251, 269, 277, 281, 293, 311, 331, 337, 349, 367, 373, 379

Offset

1,1

Comments

Complement of A040122 relative to A000040. - Vincenzo Librandi, Sep 17 2012

Links

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

Mathematica

ok[p_]:= Reduce[Mod[x^4 - 11, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 17 2012  *)

Prog

(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 11} ]; // Vincenzo Librandi, Sep 17 2012

Crossrefs

Sequence in context: A038956 A309291 A343123 * A296936 A038883 A141188

Adjacent sequences: A040120 A040121 A040122 * A040124 A040125 A040126

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved