%I
%S 3,5,11,13,17,19,29,37,41,43,53,59,61,67,83,97,101,107,109,113,131,
%T 137,139,149,157,163,173,179,181,193,197,211,227,229,241,251,269,277,
%U 281,283,293,307,313,317,331,347,349,353,373,379,389
%N Primes p such that x^8 = 2 has no solution mod p.
%C Complement of A045315 relative to A000040. Coincides for the first 140 terms with the sequence of primes p such that x^16 = 2 has no solution mod p (first divergence is at 1217, cf. A059287)  _Klaus Brockhaus_, Jan 26 2001.
%H Vincenzo Librandi, <a href="/A045316/b045316.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^8  2, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* _Vincenzo Librandi_, Sep 19 2012 *)
%o (MAGMA) [p: p in PrimesUpTo(500)  not exists{x : x in ResidueClassRing(p)  x^8 eq 2} ]; // _Vincenzo Librandi_, Sep 19 2012
%Y Cf. A000040, A045315, A059287.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
