A045355 Primes congruent to {2, 5, 7} mod 8.

2, 5, 7, 13, 23, 29, 31, 37, 47, 53, 61, 71, 79, 101, 103, 109, 127, 149, 151, 157, 167, 173, 181, 191, 197, 199, 223, 229, 239, 263, 269, 271, 277, 293, 311, 317, 349, 359, 367, 373, 383, 389, 397, 421, 431, 439

Offset

1,1

Comments

Inert rational primes in the field Q(sqrt(-2)). - Eyal Gruss, Nov 30 2022

Links

Ray Chandler, Table of n, a(n) for n = 1..10000 (first 1000 terms from Vincenzo Librandi)

Formula

{2} UNION A003628. - R. J. Mathar, Sep 19 2012

Mathematica

Select[Prime[Range[800]], MemberQ[{2, 5, 7}, Mod[#, 8]]&] (* Vincenzo Librandi, Aug 07 2012 *)

Prog

(Magma) [ p: p in PrimesUpTo(1000) | p mod 8 in {2, 5, 7} ]; // Vincenzo Librandi, Aug 07 2012

Crossrefs

Cf. A000040.

Sequence in context: A334246 A275287 A261581 * A252281 A165319 A094712

Adjacent sequences: A045352 A045353 A045354 * A045356 A045357 A045358

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved