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%I #16 Sep 08 2022 08:44:59
%S 2,3,11,19,43,59,73,83,107,113,131,139,163,179,211,227,233,251,257,
%T 281,283,307,331,337,347,379,443,467,491,499,523,547,563,571,577,587,
%U 593,601,619,643,659,691,739,787,811,827,883,907,937,971,1019,1033,1049,1051,1091,1097,1153
%N Primes p such that x^44 = -2 has a solution mod p.
%C Complement of A216753 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H Vincenzo Librandi, <a href="/A051091/b051091.txt">Table of n, a(n) for n = 1..1000</a>
%t ok[p_]:= Reduce[Mod[x^44 + 2, p] == 0, x, Integers] =!= False;Select[Prime[Range[400]], ok] (* _Vincenzo Librandi_, Sep 16 2012 *)
%o (PARI) /* see A051071 */
%o (Magma) [p: p in PrimesUpTo(1200) | exists(t){x : x in ResidueClassRing(p) | x^44 eq - 2}]; // _Vincenzo Librandi_, Sep 16 2012
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
%E More terms from _Joerg Arndt_, Jul 27 2011