%I #9 Sep 08 2022 08:44:53
%S 3,5,17,19,23,29,37,41,53,59,61,71,73,79,83,89,97,101,109,127,131,139,
%T 149,151,191,193,197,227,233,239,241,251,257,263,277,281,283,293,307,
%U 313,317,337,353,359,373,389,409
%N Primes p such that x^4 = 14 has no solution mod p.
%C Complement of A040128 relative to A000040. - _Vincenzo Librandi_, Sep 18 2012
%H Vincenzo Librandi, <a href="/A040129/b040129.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^4 - 14, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 18 2012 *)
%o (Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 14} ]; // _Vincenzo Librandi_, Sep 18 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
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