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%I #10 Sep 08 2022 08:45:02
%S 3,5,11,13,17,19,29,31,37,41,43,53,59,61,67,71,83,97,101,107,109,131,
%T 137,139,149,157,163,173,179,181,191,193,197,211,227,229,241,251,269,
%U 271,277,281,283,293,307,311,313,317,331,347,349,373,379,389,397,401
%N Primes p such that x^20 = 2 has no solution mod p.
%C Complement of A049552 relative to A000040.
%H Vincenzo Librandi, <a href="/A059309/b059309.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^20 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 20 2012 *)
%o (Magma) [p: p in PrimesUpTo(500) | not exists{x: x in ResidueClassRing(p) | x^20 eq 2}]; // _Vincenzo Librandi_, Sep 20 2012
%Y Cf. A000040, A049552.
%K nonn,easy
%O 1,1
%A _Klaus Brockhaus_, Jan 25 2001
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