A045432 Primes congruent to {3, 4} mod 7.

3, 11, 17, 31, 53, 59, 67, 73, 101, 109, 137, 151, 157, 179, 193, 199, 227, 241, 263, 269, 277, 283, 311, 347, 353, 367, 389, 409, 431, 479, 487, 521, 557, 563, 571, 577, 599, 613, 619, 641, 647, 661, 683, 739

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Or, primes p such that p^2 == 2 (mod 7). - Zak Seidov, May 11 2013

Links

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

Crossrefs

Cf. A047341 (superset), A225550.

Programs

Magma

[ p: p in PrimesUpTo(1000) | p mod 7 in {3,4} ]; // Vincenzo Librandi, Aug 13 2012

Mathematica

Select[Prime[Range[200]],MemberQ[{3,4},Mod[#,7]]&]  (* Vincenzo Librandi, Aug 13 2012 *)
Select[Prime[Range[200]], PowerMod[#,2,7] == 2 &] (* Zak Seidov, May 11 2013 *)