%I #12 Sep 08 2022 08:44:53
%S 13,19,31,37,61,109,127,139,151,157,193,199,211,223,241,271,277,283,
%T 307,313,337,349,367,379,397,409,421,433,439,463,487,499,523,541,547,
%U 577,601,607,619,631,643,691,709
%N Primes p such that x^3 = 22 has no solution mod p.
%C Complement of A040089 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H Vincenzo Librandi, <a href="/A040092/b040092.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^3 - 22, 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 22} ]; // _Vincenzo Librandi_, Sep 17 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.