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A040124 Primes p such that x^4 = 12 has a solution mod p. 2
2, 3, 11, 23, 37, 47, 59, 61, 71, 83, 107, 131, 157, 167, 179, 191, 193, 227, 239, 251, 263, 311, 313, 347, 349, 359, 373, 383, 397, 419, 431, 433, 443, 467, 479, 491, 503, 563, 577, 587, 599, 601, 613, 647, 659 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

MATHEMATICA

ok [p_]:=Reduce[Mod[x^4 - 12, p]== 0, x, Integers]=!= False; Select[Prime[Range[180]], ok] (* Vincenzo Librandi, Sep 12 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(800) | exists{x: x in ResidueClassRing(p) | x^4 eq 12}]; // Vincenzo Librandi, Sep 12 2012

(PARI) select( n->ispower( Mod(12, n), 4), primes(1000) ) /* Joerg Arndt, Sep 12 2012 */

CROSSREFS

Cf. A040125.

Sequence in context: A070174 A320393 A080153 * A082739 A158017 A091310

Adjacent sequences:  A040121 A040122 A040123 * A040125 A040126 A040127

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified April 1 13:18 EDT 2020. Contains 333159 sequences. (Running on oeis4.)