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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 28 23:12 EST 2022. Contains 350670 sequences. (Running on oeis4.)