A040153 Primes p such that x^4 = 22 has no solution mod p.

5, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 71, 73, 83, 101, 103, 107, 113, 131, 139, 149, 157, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 241, 269, 277, 281, 283, 307, 311, 313, 317, 337, 347, 349, 367, 373

Offset

1,1

Comments

Complement of A040152 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 - 22, 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 22} ]; // Vincenzo Librandi, Sep 18 2012

Crossrefs

Sequence in context: A351974 A364935 A249589 * A038896 A117382 A191076

Adjacent sequences: A040150 A040151 A040152 * A040154 A040155 A040156

Keyword

nonn,easy

Author

N. J. A. Sloane.

Status

approved