

A269521


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


3



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
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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 3123 and 4731 are not records so nothing is added to the sequence. The next prime of this form is 71 and the gap 7147=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=ps; 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



