A138449 Prime gaps between the first occurrence of successive primes of the form (2^n)! + m.

0, 0, 1, 7, 17, 3, 83, 83, 273, 1247, 9409, 2765, 217, 15701

Offset

0,4

Links

Table of n, a(n) for n=0..13.

Formula

A prime gap is defined here as the difference between successive primes - 1.

a(n) = A138346(n)-A136146(n)-1. - R. J. Mathar, Sep 10 2016

Example

The first prime after (2^12)! = 4096! = 4096! + 26297. The next prime after that is 4096! + 41999. So the prime gap between this first occurrence of two successive primes is 41999-26296-1 = 15701, the last entry in the sequence.

Prog

PFGW was used to find the successive primes.

Crossrefs

Cf. A136146.

Sequence in context: A122735 A094464 A224795 * A156680 A107804 A276809

Adjacent sequences: A138446 A138447 A138448 * A138450 A138451 A138452

Keyword

nonn

Author

Cino Hilliard, May 18 2008

Status

approved