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

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

Table of n, a(n) for n=1..14.

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)

Sequence in context: A102160 A215434 A355541 * A102161 A271817 A015655

Adjacent sequences: A158937 A158938 A158939 * A158941 A158942 A158943

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