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A040113 Primes p such that x^4 = 7 has no solution mod p. 1
5, 11, 13, 17, 23, 41, 43, 53, 61, 67, 71, 73, 79, 89, 97, 101, 107, 127, 137, 149, 151, 157, 163, 173, 179, 181, 191, 197, 211, 229, 233, 239, 241, 257, 263, 269, 277, 281, 293, 313, 317, 331, 337, 347, 349, 353 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040112 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 - 7, 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 7} ]; // Vincenzo Librandi, Sep 17 2012

CROSSREFS

Sequence in context: A038936 A106091 A246374 * A003632 A019354 A230288

Adjacent sequences:  A040110 A040111 A040112 * A040114 A040115 A040116

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 7 04:20 EDT 2020. Contains 333292 sequences. (Running on oeis4.)