

A300556


a(n) is the smallest odd prime p that has exactly n consecutive distinct prime "prime gaps" between p and a larger prime.


0



7, 19, 79, 491, 2153, 8123, 8123, 66137, 749467, 24935909, 128200879, 128200883, 7256916503, 61070523827, 181066533587, 1940791472069, 12233504578289, 274988895429719
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OFFSET

1,1


COMMENTS

Here, prime gap is defined as the number of composites between a prime and the next prime.


LINKS

Table of n, a(n) for n=1..18.
Caldwell and Honaker, Prime Curios!


EXAMPLE

a(4) = 491 because 491 (followed by 7 composites) 499 (followed by 3 composites) 503 (followed by 5 composites) 509 (followed by 11 composites) 521, and {7, 3, 5, 11} are 4 consecutive distinct prime prime gaps.


CROSSREFS

Cf. A000040, A065091.
Sequence in context: A155390 A269784 A237436 * A267378 A088988 A109879
Adjacent sequences: A300553 A300554 A300555 * A300557 A300558 A300559


KEYWORD

nonn,more


AUTHOR

G. L. Honaker, Jr., Mar 09 2018


EXTENSIONS

a(5)a(12) from Chuck Gaydos
a(13)a(18) from Giovanni Resta, Mar 19 2018


STATUS

approved



