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A045318 Primes p such that x^8 = 3 has no solution mod p. 4
5, 7, 17, 19, 29, 31, 37, 41, 43, 53, 61, 67, 73, 79, 89, 97, 101, 103, 113, 127, 137, 139, 149, 151, 157, 163, 173, 193, 197, 199, 211, 223, 233, 241, 257, 269, 271, 281, 283, 293, 307, 317, 331, 337, 349, 353, 367, 373, 379, 389, 397 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A045317 relative to A000040. - Vincenzo Librandi, Sep 19 2012

LINKS

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

MATHEMATICA

ok[p_]:= Reduce[Mod[x^8 - 3, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 19 2012 *)

PROG

(MAGMA) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^8 eq 3} ]; // Vincenzo Librandi, Sep 19 2012

CROSSREFS

Cf. A000040, A045317, A301916, A320481.

Sequence in context: A253085 A078764 A216731 * A040102 A100021 A099389

Adjacent sequences:  A045315 A045316 A045317 * A045319 A045320 A045321

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 6 23:10 EDT 2021. Contains 343599 sequences. (Running on oeis4.)