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A040106 Primes p such that x^4 = 5 has no solution mod p. 1
3, 7, 13, 17, 23, 29, 37, 41, 43, 47, 53, 61, 67, 73, 83, 89, 97, 103, 107, 113, 127, 137, 157, 163, 167, 173, 193, 197, 223, 227, 229, 233, 241, 257, 263, 277, 281, 283, 293, 307, 313, 317, 337, 347, 349, 353, 367 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040105 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 - 5, 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 5} ]; // Vincenzo Librandi, Sep 17 2012

CROSSREFS

Sequence in context: A063239 A063226 A288709 * A191028 A034914 A034913

Adjacent sequences:  A040103 A040104 A040105 * A040107 A040108 A040109

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 22 16:07 EDT 2022. Contains 353957 sequences. (Running on oeis4.)