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Primes p such that x^24 = -2 has no solution mod p.
3

%I #4 Sep 15 2012 14:11:47

%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 229,233,239,241,263,269,271,277,293,311,313,317,331,337,349,353,359,367,373,379,383,389,397,401

%N Primes p such that x^24 = -2 has no solution mod p.

%C Complement of A051081 relative to A000040.

%H Vincenzo Librandi, <a href="/A216743/b216743.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^24 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok]

%Y Cf. A000040, A051081.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Sep 15 2012