%I
%S 31,41,71,101,131,151,181,211,251,271,281,331,401,421,431,461,491,521,
%T 571,601,631,641,701,761,811,821,881,941,971,991,1021,1031,1051,1061,
%U 1091,1151,1171,1201,1321,1361
%N Primes p such that x^5 = 11 has no solution mod p.
%C Complement of A040179 relative to A000040.  _Vincenzo Librandi_, Sep 18 2012
%H Vincenzo Librandi, <a href="/A040180/b040180.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^5  11, p] == 0, x, Integers] == False; Select[Prime[Range[300]], ok] (* _Vincenzo Librandi_, Sep 18 2012 *)
%o (MAGMA) [p: p in PrimesUpTo(1500)  not exists{x : x in ResidueClassRing(p)  x^5 eq 11} ]; // _Vincenzo Librandi_, Sep 18 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
