A269514 Primes 8k + 5 preceding the maximal gaps in A269513.

5, 13, 61, 461, 557, 877, 1301, 2957, 4261, 4637, 5869, 7349, 20549, 20789, 31741, 60917, 62213, 201101, 239597, 307733, 1158821, 1475261, 3059597, 5155309, 5388101, 5452093, 19313549, 69685061, 85431373, 91539277, 291294901, 381464669, 512257453, 609941069, 1126255597

Offset

1,1

Comments

Subsequence of A007521.

A269513 lists the corresponding record gap sizes. See more comments there.

Links

Alexei Kourbatov, Table of n, a(n) for n = 1..44

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 + 5 are 5 and 13, so a(1)=5. The next prime of this form is 29 and the gap 29-13=16 is a new record, so a(2)=13.

Prog

(PARI) re=0; s=5; forprime(p=13, 1e8, if(p%8!=5, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

Crossrefs

Cf. A007521, A269513, A269515.

Sequence in context: A201805 A144725 A051902 * A149569 A149570 A149571

Adjacent sequences: A269511 A269512 A269513 * A269515 A269516 A269517

Keyword

nonn

Author

Alexei Kourbatov, Feb 28 2016

Status

approved