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

1,1

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

Links

Table of n, a(n) for n=1..56.

Formula

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

Mathematica

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

Crossrefs

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

Sequence in context: A045371 A356003 A063205 * A063097 A297469 A356190

Adjacent sequences: A090610 A090611 A090612 * A090614 A090615 A090616

Keyword

nonn

Author

Ray Chandler, Dec 23 2003

Extensions

Offset corrected by Amiram Eldar, Mar 01 2021

Status

approved