A051083 Primes p such that x^28 = -2 has a solution mod p.

2, 3, 11, 19, 59, 67, 73, 83, 89, 107, 131, 139, 163, 179, 227, 233, 251, 257, 283, 307, 331, 347, 353, 419, 443, 467, 499, 523, 563, 571, 577, 587, 593, 601, 619, 643, 683, 691, 739, 787, 811, 859, 881, 907, 937, 947, 971, 1019, 1033, 1049, 1091, 1097, 1123, 1153, 1163, 1171, 1187

Offset

1,1

Comments

Complement of A216745 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^28 + 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(1200) | exists(t){x : x in ResidueClassRing(p) | x^28 eq - 2}]; // Vincenzo Librandi, Sep 15 2012

Crossrefs

Sequence in context: A045339 A051091 A085902 * A051097 A214773 A235618

Adjacent sequences: A051080 A051081 A051082 * A051084 A051085 A051086

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved