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A040140 Primes p such that x^4 = 17 has no solution mod p. 2

%I

%S 3,5,7,11,13,23,29,31,37,41,53,61,71,73,79,89,97,101,107,109,113,131,

%T 137,139,163,167,173,181,193,197,199,211,227,233,241,269,277,281,283,

%U 311,313,317,337,347,349,367,373

%N Primes p such that x^4 = 17 has no solution mod p.

%C Complement of A040138 relative to A000040. - _Vincenzo Librandi_, Sep 18 2012

%H Vincenzo Librandi, <a href="/A040140/b040140.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^4 - 17, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 18 2012 *)

%o (MAGMA) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^4 ne 17}]; // _Bruno Berselli_, Sep 12 2012

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.

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Last modified October 17 11:26 EDT 2019. Contains 328108 sequences. (Running on oeis4.)