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%I #12 Sep 08 2022 08:44:53
%S 7,13,31,67,73,79,97,103,109,127,139,151,157,163,181,223,241,271,277,
%T 283,307,313,331,367,373,379,397,421,433,439,463,487,499,541,547,571,
%U 601,607,613,619,631,643,661,673
%N Primes p such that x^3 = 11 has no solution mod p.
%C Complement of A040060 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H Vincenzo Librandi, <a href="/A040061/b040061.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^3 - 11, 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 11} ]; // _Vincenzo Librandi_, Sep 17 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
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