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%I #15 Sep 08 2022 08:44:58
%S 2,3,5,11,17,23,29,31,41,43,47,53,59,71,83,89,101,107,113,127,131,137,
%T 149,157,167,173,179,191,197,223,227,229,233,239,251,257,263,269,277,
%U 281,283,293,311,317,347,353,359,383,389,397,401,419,431,439,443,449
%N Primes p such that x^9 = 2 has a solution mod p.
%C Coincides with sequence of "primes p such that x^27 = 2 has a solution mod p" for first 339 terms, then diverges.
%C Complement of A059262 relative to A000040. - _Vincenzo Librandi_, Sep 15 2012
%H R. J. Mathar, <a href="/A049596/b049596.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Pri#smp">Index entries for related sequences</a>
%t ok[p_]:= Reduce[Mod[x^9 - 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 15 2012 *)
%o (Magma) [p: p in PrimesUpTo(500) | exists(t){x : x in ResidueClassRing(p) | x^9 eq 2}]; // _Vincenzo Librandi_, Sep 15 2012
%Y Cf. A000040, A001132, A059262.
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
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