A269521 Primes 8k + 7 at the end of the maximal gaps in A269519.

23, 71, 311, 359, 599, 6551, 37423, 42703, 66751, 183823, 259583, 308263, 471391, 1071023, 1801727, 5904247, 6886367, 16936991, 22414079, 38821039, 63978127, 84165271, 147453599, 150335431, 239423519, 300412927, 387155903, 473154943, 539527199, 760401839, 788129191

Offset

1,1

Comments

Subsequence of A007522.

A269519 lists the corresponding record gap sizes. See more comments there.

Links

Alexei Kourbatov, Table of n, a(n) for n = 1..39

Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

Example

The first two primes of the form 8k + 7 are 7 and 23, so a(1)=23. The next primes of this form are 31, 47; the gaps 31-23 and 47-31 are not records so nothing is added to the sequence. The next prime of this form is 71 and the gap 71-47=24 is a new record, so a(2)=71.

Prog

(PARI) re=0; s=7; forprime(p=23, 1e8, if(p%8!=7, next); g=p-s; if(g>re, re=g; print1(p", ")); s=p)

Crossrefs

Cf. A007522, A269519, A269520.

Sequence in context: A139878 A035072 A201716 * A044161 A044542 A141945

Adjacent sequences: A269518 A269519 A269520 * A269522 A269523 A269524

Keyword

nonn

Author

Alexei Kourbatov, Feb 28 2016

Status

approved