A051084 Primes p such that x^30 = -2 has a solution mod p.

2, 3, 17, 43, 59, 83, 89, 107, 113, 137, 179, 227, 233, 251, 257, 283, 307, 347, 353, 419, 433, 443, 449, 457, 467, 499, 563, 569, 587, 593, 617, 641, 643, 659, 683, 739, 809, 827, 857, 929, 947, 953, 971, 977, 1019, 1049, 1097, 1163, 1187, 1193, 1217, 1259, 1283, 1289, 1307, 1409

Offset

1,1

Comments

Complement of A216746 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^30 + 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(1410) | exists(t){x : x in ResidueClassRing(p) | x^30 eq - 2}]; // Vincenzo Librandi, Sep 15 2012

Crossrefs

Sequence in context: A042137 A067976 A154316 * A106860 A042699 A078983

Adjacent sequences: A051081 A051082 A051083 * A051085 A051086 A051087

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved