A051087 Primes p such that x^36 = -2 has a solution mod p.

2, 3, 11, 43, 59, 83, 89, 107, 113, 131, 179, 227, 233, 251, 257, 281, 283, 347, 353, 419, 443, 467, 491, 499, 563, 587, 593, 601, 617, 643, 659, 683, 691, 827, 881, 947, 971, 1019, 1049, 1051, 1091, 1097, 1163, 1187, 1193, 1217, 1259, 1283, 1289, 1307, 1427, 1433, 1451, 1481, 1499, 1523

Offset

1,1

Comments

Complement of A216749 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^36 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[500]], ok] (* Vincenzo Librandi, Sep 15 2012 *)

Prog

(PARI) /* see A051071 */
(Magma) [p: p in PrimesUpTo(1525) | exists(t){x : x in ResidueClassRing(p) | x^36 eq - 2}]; // Vincenzo Librandi, Sep 15 2012

Crossrefs

Sequence in context: A265779 A055692 A051075 * A051081 A051093 A107327

Adjacent sequences: A051084 A051085 A051086 * A051088 A051089 A051090

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved