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A040146 Primes p such that x^4 = 19 has no solution mod p. 1
5, 7, 11, 13, 17, 23, 29, 37, 41, 43, 47, 53, 61, 73, 83, 89, 97, 109, 113, 131, 137, 139, 163, 173, 181, 191, 193, 197, 199, 239, 241, 251, 257, 263, 269, 271, 281, 283, 293, 311, 317, 337, 347, 353, 359, 367, 373 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040145 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 - 19, 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 19} ]; // Vincenzo Librandi, Sep 18 2012

CROSSREFS

Sequence in context: A290507 A139812 A180951 * A243593 A015914 A023201

Adjacent sequences:  A040143 A040144 A040145 * A040147 A040148 A040149

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified August 22 11:34 EDT 2019. Contains 326176 sequences. (Running on oeis4.)