A269515 Primes 8k + 5 at the end of the maximal gaps in A269513.

13, 29, 101, 509, 613, 941, 1373, 3037, 4349, 4733, 5981, 7477, 20693, 20981, 31957, 61141, 62477, 201389, 239893, 308093, 1159189, 1475701, 3060053, 5155789, 5388709, 5452709, 19314221, 69685813, 85432133, 91540133, 291295813, 381465589, 512258413, 609942197, 1126256773

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

Prog

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

Crossrefs

Cf. A007521, A269513, A269514.

Sequence in context: A123571 A358742 A209989 * A166272 A358744 A317897

Adjacent sequences: A269512 A269513 A269514 * A269516 A269517 A269518

Keyword

nonn

Author

Alexei Kourbatov, Feb 28 2016

Status

approved