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
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