A051080 Primes p such that x^22 = -2 has a solution mod p.

2, 3, 11, 17, 19, 41, 43, 59, 73, 83, 97, 107, 113, 131, 137, 139, 163, 179, 193, 211, 227, 233, 241, 251, 257, 281, 283, 307, 313, 331, 337, 347, 379, 401, 409, 433, 443, 449, 457, 467, 491, 499, 521, 523, 547, 563, 569, 571, 577, 587, 593, 601, 619, 641, 643, 659, 673, 691, 739, 761, 769, 787, 809, 811, 827, 857, 883, 907, 929, 937, 953, 971, 977, 1009

Offset

1,1

Comments

Complement of A216742 relative to A000040. - Vincenzo Librandi, Sep 16 2012

Links

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

Mathematica

ok[p_]:= Reduce[Mod[x^22 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 15 2012 *)

Prog

(PARI) /* see A051071 */
(Magma) [p: p in PrimesUpTo(1010) | exists(t){x : x in ResidueClassRing(p) | x^22 eq - 2}]; // Vincenzo Librandi, Sep 15 2012

Crossrefs

Sequence in context: A051092 A051086 A051082 * A051098 A215811 A051076

Adjacent sequences: A051077 A051078 A051079 * A051081 A051082 A051083

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved