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%I #11 Sep 08 2022 08:44:53
%S 7,13,19,43,67,73,79,97,127,151,181,199,223,229,277,283,307,331,337,
%T 349,367,397,409,421,433,439,457,487,499,523,541,547,577,601,607,619,
%U 631,643,661,691,709,733,739,751
%N Primes p such that x^3 = 23 has no solution mod p.
%C Complement of A040095 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H Vincenzo Librandi, <a href="/A040096/b040096.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^3 - 23, 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 23} ]; // _Vincenzo Librandi_, Sep 17 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
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