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%I #9 Sep 08 2022 08:44:53
%S 2,3,5,7,13,17,19,23,29,37,43,47,53,59,67,73,79,83,89,97,103,107,109,
%T 113,127,131,137,139,149,151,157,163,167,173,179,181,193,197,199,223,
%U 227,229,233,239,241,257,263,269
%N Primes p such that x^5 = 19 has a solution mod p.
%C Complement of A040983 relative to A000040. [_Bruno Berselli_, Sep 12 2012]
%H Vincenzo Librandi, <a href="/A040982/b040982.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_] := Reduce[Mod[x^5 - 19, 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 19}]; // _Vincenzo Librandi_, Sep 12 2012
%Y Cf. A000040, A040983.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_.
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