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A138449 Prime gaps between the first occurrence of successive primes of the form (2^n)! + m. 0
0, 0, 1, 7, 17, 3, 83, 83, 273, 1247, 9409, 2765, 217, 15701 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 19 11:06 EDT 2019. Contains 327192 sequences. (Running on oeis4.)