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A040158 Primes p such that x^4 = 23 has no solution mod p. 2
3, 5, 13, 17, 31, 37, 47, 53, 59, 61, 71, 73, 89, 97, 101, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 179, 181, 193, 211, 223, 229, 239, 241, 271, 281, 293, 307, 311, 313, 331, 337, 347, 353, 373, 389 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040154 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 - 23, 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 23} ]; // Vincenzo Librandi, Sep 18 2012

CROSSREFS

Sequence in context: A060192 A065311 A206549 * A147490 A266234 A180008

Adjacent sequences:  A040155 A040156 A040157 * A040159 A040160 A040161

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified September 29 10:54 EDT 2020. Contains 337428 sequences. (Running on oeis4.)