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A186509
Numbers k such that there are 17 primes between 100*k and 100*k + 99.
22
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
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
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