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%I #13 Jun 19 2023 04:23:27
%S 31,41,61,71,101,131,151,181,191,211,251,271,281,311,331,421,431,491,
%T 521,541,571,601,631,641,661,691,701,751,761,821,941,971,991,1021,
%U 1031,1051,1061,1091,1151,1171,1201
%N Primes p such that x^5 = 22 has no solution mod p.
%C Complement of A040988 relative to A000040. - _Vincenzo Librandi_, Sep 19 2012
%H Vincenzo Librandi, <a href="/A040989/b040989.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^5 - 22, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* _Vincenzo Librandi_, Sep 19 2012 *)
%o (Magma) [p: p in PrimesUpTo(1500) | not exists{x : x in ResidueClassRing(p) | x^5 eq 22} ]; // _Vincenzo Librandi_, Sep 19 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_