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%I #13 Jun 19 2023 04:24:11
%S 5,7,13,17,19,29,31,37,41,43,53,67,79,89,97,101,103,109,113,127,137,
%T 139,149,151,157,163,173,181,197,199,211,223,229,233,241,257,269,271,
%U 277,281,283,293,307,313,317,331,337,349,353,367,373
%N Primes p such that x^6 = 3 has no solution mod p.
%C Complement of A040994 relative to A000040. - _Vincenzo Librandi_, Sep 19 2012
%H Vincenzo Librandi, <a href="/A040995/b040995.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^6 - 3, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 19 2012 *)
%o (Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^6 eq 3} ]; // _Vincenzo Librandi_, Sep 19 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
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