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Primes p such that x^18 = -2 has no solution mod p.
2

%I #5 Sep 15 2012 12:39:57

%S 5,7,13,19,23,29,31,37,47,53,61,67,71,73,79,97,101,103,109,127,139,

%T 149,151,157,163,167,173,181,191,193,197,199,211,223,229,239,241,263,

%U 269,271,277,293,307,311,313,317,331,337,349,359,367,373,379

%N Primes p such that x^18 = -2 has no solution mod p.

%C Complement of A051078 relative to A000040.

%H Vincenzo Librandi, <a href="/A216740/b216740.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^18 + 2, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok]

%Y Cf. A000040, A051078.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Sep 15 2012