A040146 Primes p such that x^4 = 19 has no solution mod p.

5, 7, 11, 13, 17, 23, 29, 37, 41, 43, 47, 53, 61, 73, 83, 89, 97, 109, 113, 131, 137, 139, 163, 173, 181, 191, 193, 197, 199, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 311, 317, 337, 347, 353, 359, 367, 373

Offset

1,1

Comments

Complement of A040145 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^4 - 19, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 18 2012  *)

Prog

(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 19} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A290507 A139812 A180951 * A243593 A015914 A023201

Adjacent sequences: A040143 A040144 A040145 * A040147 A040148 A040149

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved