A090613 Numbers k such that the k-th prime is congruent to 3 mod 7.

2, 7, 11, 17, 21, 26, 37, 46, 49, 53, 57, 61, 64, 71, 73, 80, 92, 98, 103, 106, 114, 118, 121, 137, 138, 145, 148, 160, 166, 168, 175, 186, 188, 190, 196, 204, 206, 210, 215, 218, 232, 236, 243, 248, 255, 258, 263, 265, 273, 281, 289, 292, 296, 316, 321, 334

Offset: 1

Author

Ray Chandler, Dec 23 2003

Keywords

• nonn

Comments

Also numbers k such that the k-th prime is congruent to 3 mod 14.

A045437 indexed by A000040.

The asymptotic density of this sequence is 1/6 (by Dirichlet's theorem). - Amiram Eldar, Mar 01 2021

Crossrefs

Cf. A024903, A033868, A045437, A089033, A090614.

Programs

Mathematica

Select[Range[350], Mod[Prime[#], 7] == 3 &] (* Amiram Eldar, Mar 01 2021 *)

Formula

a(n) = k such that A000040(k) = A045437(n).

Extensions

Offset corrected by Amiram Eldar, Mar 01 2021