A051099 - OEIS

%I #18 Apr 12 2023 08:21:44

%S 2,3,43,59,83,89,107,113,179,227,233,251,257,283,307,347,353,419,443,

%T 467,499,563,587,593,617,643,659,683,739,827,947,971,1019,1049,1097,

%U 1163,1187,1193,1217,1259,1283,1289,1307,1427,1433,1459,1499,1523,1553,1579

%N Primes p such that x^60 = -2 has a solution mod p.

%C Complement of A216775 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012

%H Vincenzo Librandi, <a href="/A051099/b051099.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^60 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[500]], ok] (* _Vincenzo Librandi_, Sep 16 2012 *)

%o (PARI) /* see A051071 */

%o (Magma) [p: p in PrimesUpTo(1600) | exists(t){x : x in ResidueClassRing(p) | x^60 eq - 2}]; // _Vincenzo Librandi_, Sep 16 2012

%Y Cf. A000040, A216775.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Joerg Arndt_, Jul 27 2011