A051091 Primes p such that x^44 = -2 has a solution mod p.

2, 3, 11, 19, 43, 59, 73, 83, 107, 113, 131, 139, 163, 179, 211, 227, 233, 251, 257, 281, 283, 307, 331, 337, 347, 379, 443, 467, 491, 499, 523, 547, 563, 571, 577, 587, 593, 601, 619, 643, 659, 691, 739, 787, 811, 827, 883, 907, 937, 971, 1019, 1033, 1049, 1051, 1091, 1097, 1153

Offset

1,1

Comments

Complement of A216753 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^44 + 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(1200) | exists(t){x : x in ResidueClassRing(p) | x^44 eq - 2}]; // Vincenzo Librandi, Sep 16 2012

Crossrefs

Sequence in context: A051085 A051101 A045339 * A085902 A051083 A051097

Adjacent sequences: A051088 A051089 A051090 * A051092 A051093 A051094

Keyword

nonn,easy

Author

N. J. A. Sloane

Extensions

More terms from Joerg Arndt, Jul 27 2011

Status

approved