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A040999 Primes p such that x^6 = 5 has no solution mod p. 2
3, 7, 13, 17, 19, 23, 31, 37, 43, 47, 53, 61, 67, 73, 79, 83, 97, 103, 107, 109, 113, 127, 137, 139, 151, 157, 163, 167, 173, 193, 197, 223, 227, 229, 233, 257, 263, 271, 277, 283, 293, 307, 313, 317, 331, 337, 347, 349, 353, 367, 373, 383, 397 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040998 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^6 - 5, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 19 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^6 eq 5} ]; // Vincenzo Librandi, Sep 19 2012

CROSSREFS

Sequence in context: A065057 A100807 A290400 * A172240 A129901 A067073

Adjacent sequences:  A040996 A040997 A040998 * A041000 A041001 A041002

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 18 09:26 EDT 2021. Contains 343995 sequences. (Running on oeis4.)