A036062 Increasing gaps among twin primes: the smallest prime of the second twin pair.

5, 11, 29, 59, 101, 347, 419, 809, 2549, 6089, 13679, 18911, 24917, 62927, 188831, 688451, 689459, 851801, 2870471, 4871441, 9925709, 14658419, 17384669, 30754487, 32825201, 96896909, 136286441, 234970031, 248644217, 255953429

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn

Links

• Martin Raab, Table of n, a(n) for n = 1..82 (terms up to a(75) from Max Alekseyev)
• Randall Rathbun, Twin Prime Gaps, NMBRTHRY Mailing List, Nov 23 1998.
• Alexei Kourbatov, Tables of record gaps between prime constellations, arXiv preprint arXiv:1309.4053 [math.NT], 2013.
• 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

Crossrefs

Cf. A036061, A036063, A002386, A113274, A113275.

Formula

a(n) = A036061(n) + A036063(n).

Extensions

Terms a(3)-a(41) are given by Rathbun (1998).

Corrected by Jud McCranie, Jan 04 2001

Terms up to a(72) are listed in Kourbatov (2013), terms up to a(75) on Oliveira e Silva's website, added by Max Alekseyev, Nov 06 2015