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%I #18 Sep 08 2022 08:44:59
%S 2,3,11,17,19,41,43,59,67,73,83,89,97,107,113,131,139,163,179,193,211,
%T 227,233,241,251,257,281,283,313,331,337,347,353,379,401,419,433,449,
%U 457,467,491,499,521,523,547,563,569,571,577,587,593,601,617,619,641,643,659,673,683,691,739,761,769,787,809,811,827,857,859,881,883,907,929,937,947,971,977,1009
%N Primes p such that x^34 = -2 has a solution mod p.
%C Complement of A216748 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H Vincenzo Librandi, <a href="/A051086/b051086.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^34 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[400]], ok] (* _Vincenzo Librandi_, Sep 15 2012 *)
%o (PARI) /* see A051071 */
%o (Magma) [p: p in PrimesUpTo(1010) | exists(t){x : x in ResidueClassRing(p) | x^34 eq - 2}]; // _Vincenzo Librandi_, Sep 15 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
%E More terms from _Joerg Arndt_, Jul 27 2011
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