A045338 Primes congruent to {2, 3, 4} mod 7.

2, 3, 11, 17, 23, 31, 37, 53, 59, 67, 73, 79, 101, 107, 109, 137, 149, 151, 157, 163, 179, 191, 193, 199, 227, 233, 241, 263, 269, 277, 283, 311, 317, 331, 347, 353, 359, 367, 373, 389, 401, 409, 431, 443, 457

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Links

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

Crossrefs

Cf. A000040, A045327.

Programs

Magma

[ p: p in PrimesUpTo(600) | p mod 7 in {2, 3, 4} ]; // Vincenzo Librandi, Aug 07 2012

Mathematica

Select[Prime[Range[300]],MemberQ[{2,3,4},Mod[#,7]]&] (* Vincenzo Librandi, Aug 07 2012 *)

PARI

select(n->n%7>1 && n%7<5, primes(60)) \\ Charles R Greathouse IV, Aug 07 2012

Formula

a(n) ~ 2n log n. - Charles R Greathouse IV, Aug 07 2012