A051090 Primes p such that x^42 = -2 has a solution mod p.

2, 3, 11, 17, 41, 59, 83, 89, 107, 131, 137, 179, 227, 233, 251, 257, 283, 307, 347, 353, 401, 419, 433, 443, 457, 467, 499, 521, 563, 569, 587, 593, 601, 641, 643, 683, 691, 739, 761, 809, 811, 857, 881, 929, 947, 953, 971, 977, 1019, 1049, 1091, 1097, 1163

Offset

1,1

Comments

Complement of A216752 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^42+2, p]==0, x, Integers]=!=False; Select[Prime[Range[400]], ok] (* Vincenzo Librandi, Sep 16 2012 *)

Prog

(PARI) /* see A051071 */
(Magma) [p: p in PrimesUpTo(1250) | exists(t){x : x in ResidueClassRing(p) | x^42 eq - 2}]; // Vincenzo Librandi, Sep 16 2012

Crossrefs

Sequence in context: A051072 A051096 A051078 * A263933 A061400 A090474

Adjacent sequences: A051087 A051088 A051089 * A051091 A051092 A051093

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved