%I #12 Sep 08 2022 08:44:53
%S 7,31,37,43,61,67,73,103,109,127,139,151,157,163,181,193,223,229,241,
%T 271,277,283,313,337,349,367,379,397,409,421,433,457,523,541,547,571,
%U 577,601,607,613,619,631,661,691
%N Primes p such that x^3 = 12 has no solution mod p.
%C Complement of A040062 relative to A000040.  _Vincenzo Librandi_, Sep 17 2012
%H Vincenzo Librandi, <a href="/A040064/b040064.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^3  12, p] == 0, x, Integers] == False;Select[Prime[Range[200]], ok] (* _Vincenzo Librandi_, Sep 17 2012 *)
%o (Magma) [p: p in PrimesUpTo(1000)  not exists{x : x in ResidueClassRing(p)  x^3 eq 12} ]; // _Vincenzo Librandi_, Sep 17 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
