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

Author

N. J. A. Sloane

Keywords

• nonn
• easy

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)

Crossrefs

Cf. A000040.

Programs

Magma

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

Mathematica

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

Formula

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