A186509 Numbers k such that there are 17 primes between 100*k and 100*k + 99.

4, 14, 7837, 27049, 144997771, 651186838, 12779564974, 22369949923, 149621468452, 225012717952, 240728320642, 586832463472, 766964610742, 939742446571, 949543082647, 1908189311558, 2693729868901, 2701032171244, 3465208973035, 3489960850720, 3910908182851

Offset

1,1

Comments

There are 2829786 possible prime patterns for centuries having 17 primes. - Tim Johannes Ohrtmann, Aug 27 2015

Links

Brian Kehrig, Table of n, a(n) for n = 1..365

Example

4 is in this sequence because there are 17 primes between 400 and 499 (401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491 and 499).

Crossrefs

Cf. A038822 (number of primes between 100n and 100n+99), A186311 (first occurrences).

Cf. A181098 (no primes), A186393-A186408 (1 to 16 primes), A361723 (18 primes).

Sequence in context: A138488 A022508 A161741 * A323085 A097548 A218047

Adjacent sequences: A186506 A186507 A186508 * A186510 A186511 A186512

Keyword

nonn

Author

T. D. Noe, Feb 22 2011

Extensions

a(7)-a(15) from Donovan Johnson, Feb 28 2011

Terms a(16) and beyond from Brian Kehrig, Mar 21 2023

Status

approved