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%I #7 Sep 08 2022 08:46:03
%S 5,7,11,13,19,23,29,31,37,41,47,53,61,67,71,73,79,97,101,103,109,127,
%T 131,139,149,151,157,163,167,173,181,191,193,197,199,211,223,229,239,
%U 241,263,269,271,277,281,293,311,313,317,331,337,349,359,367,373,379,383
%N Primes p such that x^30 = -2 has no solution mod p.
%C Complement of A051084 relative to A000040.
%H Vincenzo Librandi, <a href="/A216746/b216746.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:=Reduce[Mod[x^30 + 2, p] == 0, x, Integers] == False;Select[Prime[Range[100]], ok]
%o (Magma) [ p: p in PrimesUpTo(400) | not exists{x : x in ResidueClassRing(p) | x^30 eq -2} ]; // _Vincenzo Librandi_, Sep 16 2012
%Y Cf. A000040, A051084.
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Sep 16 2012
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