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%I #15 Jul 20 2023 14:52:41
%S 5,7,13,17,19,23,29,31,37,41,47,53,61,67,71,73,79,89,97,101,103,109,
%T 113,127,137,139,149,151,157,163,167,173,181,191,193,197,199,211,223,
%U 229,233,239,241,263,269,271,277,293,311,313,317,331,337,349,353,359
%N Primes p such that x^48 = -2 has no solution mod p.
%C Complement of A051093 relative to A000040.
%C Starts to differ from A216743 at index n=121 (presence/absence of 881). - _R. J. Mathar_, Jul 20 2023
%H Vincenzo Librandi, <a href="/A216769/b216769.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^48 + 2, p] == 0, x, Integers] == False;Select[Prime[Range[200]], ok]
%o (Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^48 eq -2}];
%Y Cf. A000040, A051093, A216743.
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Sep 16 2012
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