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

Author

T. D. Noe, Feb 22 2011

Keywords

• nonn

Comments

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

Examples

			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).
		

Links

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

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).

Extensions

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

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