A051099 Primes p such that x^60 = -2 has a solution mod p.

2, 3, 43, 59, 83, 89, 107, 113, 179, 227, 233, 251, 257, 283, 307, 347, 353, 419, 443, 467, 499, 563, 587, 593, 617, 643, 659, 683, 739, 827, 947, 971, 1019, 1049, 1097, 1163, 1187, 1193, 1217, 1259, 1283, 1289, 1307, 1427, 1433, 1459, 1499, 1523, 1553, 1579

Offset

1,1

Comments

Complement of A216775 relative to A000040. - Vincenzo Librandi, Sep 17 2012

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Mathematica

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

Prog

(PARI) /* see A051071 */
(Magma) [p: p in PrimesUpTo(1600) | exists(t){x : x in ResidueClassRing(p) | x^60 eq - 2}]; // Vincenzo Librandi, Sep 16 2012

Crossrefs

Cf. A000040, A216775.

Sequence in context: A257467 A255092 A237414 * A162712 A182217 A233314

Adjacent sequences: A051096 A051097 A051098 * A051100 A051101 A051102

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved