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

1,1

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

Formula

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

Crossrefs

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

Sequence in context: A046141 A233540 A107135 * A201600 A129780 A154504

Adjacent sequences: A036059 A036060 A036061 * A036063 A036064 A036065

Keyword

nonn

Author

N. J. A. Sloane

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

Status

approved