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A036061
Increasing gaps among twin primes: the largest prime of the starting twin pair.
6
5, 7, 19, 43, 73, 313, 349, 661, 2383, 5881, 13399, 18541, 24421, 62299, 187909, 687523, 688453, 850351, 2868961, 4869913, 9923989, 14656519, 17382481, 30752233, 32822371, 96894043, 136283431, 234966931, 248641039, 255949951, 390817729, 698542489, 2466641071
OFFSET
1,1
COMMENTS
Has many terms in common with A054691, but neither of the two is a subsequence of the other one. - M. F. Hasler, May 07 2022
LINKS
Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.
Tomás Oliveira e Silva, Gaps between twin primes
Randall Rathbun, Twin Prime Gaps, NMBRTHRY Mailing List, Nov 23 1998.
Eric Weisstein's World of Mathematics, Prime Constellation
FORMULA
a(n) = A036062(n) - A036063(n).
a(n) = A113275(n) + 2.
MATHEMATICA
Block[{s = Select[Partition[Prime@ Range[10^7], 2, 1], Subtract @@ # == -2 &][[All, -1]], t}, t = Differences@ s; Map[s[[FirstPosition[t, #]]] &, Union@ FoldList[Max, t]][[All, 1]]] (* Michael De Vlieger, Jan 18 2019 *)
CROSSREFS
KEYWORD
nonn
EXTENSIONS
Terms 5, 7 prepended by Max Alekseyev, Nov 05 2015
a(17) corrected and a(31)-a(33) from Sean A. Irvine, Oct 21 2020
STATUS
approved