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%I #11 Sep 08 2022 08:45:02
%S 3,5,11,13,19,29,37,43,53,59,61,67,83,101,107,109,131,139,149,157,163,
%T 173,179,181,191,197,211,227,229,251,269,277,283,293,307,317,331,347,
%U 349,373,379,389,397,419,421,443,457,461,467,491,499,509,523,541,547
%N Primes p such that x^38 = 2 has no solution mod p.
%C Complement of A049570 relative to A000040.
%H Vincenzo Librandi, <a href="/A059350/b059350.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^38 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[120]], ok] (* _Vincenzo Librandi_, Sep 20 2012 *)
%o (Magma) [p: p in PrimesUpTo(550) | not exists{x : x in ResidueClassRing(p) | x^38 eq 2}]; // _Vincenzo Librandi_, Sep 20 2012
%K nonn,easy
%O 1,1
%A _Klaus Brockhaus_, Jan 27 2001