A040144 Primes p such that x^4 = 18 has no solution mod p.

5, 11, 13, 19, 29, 37, 43, 53, 59, 61, 67, 83, 89, 97, 101, 107, 109, 113, 131, 139, 149, 157, 163, 173, 179, 181, 193, 197, 211, 227, 229, 233, 241, 251, 257, 269, 277, 281, 283, 293, 307, 313, 317, 331, 347, 349

Offset

1,1

Comments

Complement of A040141 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 - 18, 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 18} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A098085 A104216 A269819 * A019395 A045448 A157750

Adjacent sequences: A040141 A040142 A040143 * A040145 A040146 A040147

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved