Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #7 Sep 08 2022 08:46:03
%S 5,7,13,23,29,31,37,47,53,59,61,71,79,101,103,109,127,149,151,157,167,
%T 173,181,191,197,199,223,229,233,239,263,269,271,277,293,311,317,349,
%U 359,367,373,383,389,397,421,431,439,461,463,479,487,503,509,523
%N Primes p such that x^58 = -2 has no solution mod p.
%C Complement of A051098 relative to A000040.
%H Vincenzo Librandi, <a href="/A216774/b216774.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^58 + 2, p] == 0, x, Integers] == False;Select[Prime[Range[220]], ok]
%o (Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^58 eq -2}];
%Y Cf. A000040, A051098.
%K nonn,easy
%O 1,1
%A _Vincenzo Librandi_, Sep 16 2012