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%I #9 Sep 08 2022 08:44:53
%S 2,3,5,7,13,17,19,23,29,37,41,43,47,53,59,61,67,73,79,83,89,97,101,
%T 103,107,109,113,127,137,139,149,157,163,167,173,179,191,193,197,199,
%U 211,223,227,229,233,239,257,263
%N Primes p such that x^5 = 14 has a solution mod p.
%C Complement of A040973 relative to A000040. - _Bruno Berselli_, Sep 13 2012
%H Vincenzo Librandi, <a href="/A040972/b040972.txt">Table of n, a(n) for n = 1..1000</a>
%t ok [p_ ]:=Reduce[Mod[x^5 - 14, p ]== 0, x, Integers ]=!= False; Select[Prime[Range[150]], ok] (* _Vincenzo Librandi_, Sep 12 2012 *)
%o (Magma) [p: p in PrimesUpTo(400) | exists(t){x : x in ResidueClassRing(p) | x^5 eq 14}]; // _Vincenzo Librandi_, Sep 12 2012
%Y Cf. A000040, A040973.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
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