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%I #9 Sep 08 2022 08:44:53
%S 2,3,11,23,47,59,61,71,73,83,107,131,167,179,191,193,227,239,251,263,
%T 311,347,359,383,419,431,443,467,479,491,503,563,577,587,599,613,647,
%U 659,661,683,719,743,757,827,839
%N Primes p such that x^6 = 3 has a solution mod p.
%C Complement of A040995 relative to A000040. - _Vincenzo Librandi_, Sep 13 2012
%H Vincenzo Librandi, <a href="/A040994/b040994.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[200]], ok] (* _Vincenzo Librandi_, Sep 13 2012 *)
%o (Magma) [p: p in PrimesUpTo(1000) | exists(t){x : x in ResidueClassRing(p) | x^6 eq 3}]; // _Vincenzo Librandi_, Sep 13 2012
%Y Cf. A000040, A040995.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
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