A040179 - OEIS

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

%S 2,3,5,7,11,13,17,19,23,29,37,43,47,53,59,61,67,73,79,83,89,97,103,

%T 107,109,113,127,137,139,149,157,163,167,173,179,191,193,197,199,223,

%U 227,229,233,239,241,257,263,269

%N Primes p such that x^5 = 11 has a solution mod p.

%C Complement of A040180 relative to A000040. - _Bruno Berselli_, Sep 13 2012

%H Vincenzo Librandi, <a href="/A040179/b040179.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[150]], ok] (* _Vincenzo Librandi_, Sep 12 2012 *)

%o (Magma) [p: p in PrimesUpTo(400) | exists(t) {x : x in ResidueClassRing(p) | x^5 eq 11}]; // _Vincenzo Librandi_, Sep 12 2012

%Y Cf. A000040, A040180.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.