%I #10 Sep 08 2022 08:45:02
%S 3,5,7,11,13,19,29,37,43,53,59,61,67,71,73,79,83,97,101,103,107,109,
%T 113,127,131,139,149,151,157,163,173,179,181,193,197,199,211,227,229,
%U 239,241,251,269,271,277,281,283,293,307,313,317,331,337,347,349,367
%N Primes p such that x^42 = 2 has no solution mod p.
%C Complement of A049574 relative to A000040.
%H Vincenzo Librandi, <a href="/A059353/b059353.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^42 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[80]], ok ] (* _Vincenzo Librandi_, Sep 20 2012 *)
%o (Magma) [p: p in PrimesUpTo(400) | forall{x: x in ResidueClassRing(p) | x^42 ne 2}]; // _Vincenzo Librandi_, Sep 20 2012
%Y Cf. A000040, A049574.
%K nonn,easy
%O 1,1
%A _Klaus Brockhaus_, Jan 27 2001
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