A158940 - OEIS

A158940

First primes followed by sequences of exactly n monotonic decreasing prime gaps.

2, 7, 31, 1637, 1831, 74653, 322171, 5051309, 11938793, 245333213, 245333159, 130272314561, 1273135176799, 23840790158827

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OFFSET

1,1

COMMENTS

a(15) > 1.3*10^14. - Giovanni Resta, Apr 19 2016

Banks, Freiberg, & Turnage-Butterbaugh show that a(n) exists for each n. - Charles R Greathouse IV, Jun 30 2022

LINKS

William D. Banks, Tristan Freiberg, and Caroline L. Turnage-Butterbaugh, Consecutive primes in tuples (2013), arXiv:1311.7003 [math.NT].

EXAMPLE

a(4)=1637 is the first prime to be followed by n=4 monotonic decreasing prime gaps: 20,6,4,2.

a(13)=1273135176799 is the first prime to be followed by n=13 monotonic decreasing prime gaps: 72,60,46,44,42,36,34,24,12,8,6,4,2.

CROSSREFS

Cf. A158939 (monotonic increasing prime gaps)

KEYWORD

more,nonn

AUTHOR

Alan Worley (aw(AT)xiboo.co.uk), Mar 31 2009

EXTENSIONS

a(14) from Giovanni Resta, Apr 19 2016

STATUS

approved