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A040125 Primes p such that x^4 = 12 has no solution mod p. 2
5, 7, 13, 17, 19, 29, 31, 41, 43, 53, 67, 73, 79, 89, 97, 101, 103, 109, 113, 127, 137, 139, 149, 151, 163, 173, 181, 197, 199, 211, 223, 229, 233, 241, 257, 269, 271, 277, 281, 283, 293, 307, 317, 331, 337, 353 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040124 relative to A000040. - Vincenzo Librandi, Sep 17 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

Select[Prime[Range[PrimePi[400]]], ! MemberQ[PowerMod[Range[#], 4, #], Mod[12, #]] &] (* T. D. Noe, Sep 13 2012 *)

ok[p_]:= Reduce[Mod[x^4 - 12, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 17 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^4 ne 12}]; // Bruno Berselli, Sep 12 2012

CROSSREFS

Sequence in context: A337811 A040995 A091301 * A106067 A287614 A320866

Adjacent sequences:  A040122 A040123 A040124 * A040126 A040127 A040128

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified January 22 14:29 EST 2022. Contains 350481 sequences. (Running on oeis4.)