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

1,1

Links

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

Formula

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

Mathematica

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

Prog

(Magma) [ p: p in PrimesUpTo(600) | p mod 7 in {2, 3, 4} ]; // Vincenzo Librandi, Aug 07 2012
(PARI) select(n->n%7>1 && n%7<5, primes(60)) \\ Charles R Greathouse IV, Aug 07 2012

Crossrefs

Cf. A000040, A045327.

Sequence in context: A164952 A157977 A105903 * A250175 A038907 A019417

Adjacent sequences: A045335 A045336 A045337 * A045339 A045340 A045341

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved