A040108 Primes p such that x^4 = 6 has no solution mod p.

7, 11, 13, 17, 29, 31, 37, 41, 53, 59, 61, 73, 79, 83, 89, 101, 103, 107, 109, 113, 127, 131, 137, 151, 157, 179, 181, 193, 197, 199, 223, 227, 229, 233, 251, 257, 269, 271, 277, 281, 293, 313, 317, 337, 347, 349

Offset

1,1

Comments

Complement of A040107 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 - 6, 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 6} ]; // Vincenzo Librandi, Sep 17 2012

Crossrefs

Sequence in context: A279190 A309671 A073704 * A038931 A141189 A191035

Adjacent sequences: A040105 A040106 A040107 * A040109 A040110 A040111

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved