A300556 a(n) is the smallest odd prime p that has exactly n consecutive distinct prime "prime gaps" between p and a larger prime.

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

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