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 A090613 Numbers k such that the k-th prime is congruent to 3 mod 7. 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 (list; graph; refs; listen; history; text; internal format)
 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

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)