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A036061 Increasing gaps among twin primes: the largest prime of the starting twin pair. 4
5, 7, 19, 43, 73, 313, 349, 661, 2383, 5881, 13399, 18541, 24421, 62299, 187909, 687523, 688543, 850351, 2868961, 4869913, 9923989, 14656519, 17382481, 30752233, 32822371, 96894043, 136283431, 234966931, 248641039, 255949951 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..30.

Randall Rathbun, Twin Prime Gaps, NMBRTHRY Mailing List, Nov 23 1998.

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

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

Cf. A036062, A036063, A002386, A113275

Sequence in context: A106987 A321510 A084198 * A288608 A079361 A162268

Adjacent sequences:  A036058 A036059 A036060 * A036062 A036063 A036064

KEYWORD

nonn

AUTHOR

N. J. A. Sloane.

EXTENSIONS

Terms 5, 7 prepended by Max Alekseyev, Nov 05 2015

STATUS

approved

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Last modified May 23 11:05 EDT 2019. Contains 323513 sequences. (Running on oeis4.)