A040123 - OEIS

%I #9 Sep 08 2022 08:44:53

%S 3,13,17,23,29,31,37,41,47,53,59,61,67,71,73,97,101,103,109,113,137,

%T 149,163,173,179,181,191,193,197,199,223,229,233,241,251,269,277,281,

%U 293,311,331,337,349,367,373,379

%N Primes p such that x^4 = 11 has no solution mod p.

%C Complement of A040122 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012

%H Vincenzo Librandi, <a href="/A040123/b040123.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^4 - 11, p] == 0, x, Integers] == False;Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 17 2012  *)

%o (Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 11} ]; // _Vincenzo Librandi_, Sep 17 2012

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.