|
%I #7 Jun 30 2022 14:51:13
%S 2,7,31,1637,1831,74653,322171,5051309,11938793,245333213,245333159,
%T 130272314561,1273135176799,23840790158827
%N First primes followed by sequences of exactly n monotonic decreasing prime gaps.
%C a(15) > 1.3*10^14. - _Giovanni Resta_, Apr 19 2016
%C Banks, Freiberg, & Turnage-Butterbaugh show that a(n) exists for each n. - _Charles R Greathouse IV_, Jun 30 2022
%H William D. Banks, Tristan Freiberg, and Caroline L. Turnage-Butterbaugh, <a href="https://arxiv.org/abs/1311.7003">Consecutive primes in tuples</a> (2013), arXiv:1311.7003 [math.NT].
%e a(4)=1637 is the first prime to be followed by n=4 monotonic decreasing prime gaps: 20,6,4,2.
%e 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.
%Y Cf. A158939 (monotonic increasing prime gaps)
%K more,nonn
%O 1,1
%A Alan Worley (aw(AT)xiboo.co.uk), Mar 31 2009
%E a(14) from _Giovanni Resta_, Apr 19 2016
|
