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A269520 Primes 8k + 7 preceding the maximal gaps in A269519. 3
7, 47, 271, 311, 503, 6367, 37223, 42487, 66463, 183527, 259271, 307919, 471007, 1070567, 1801223, 5903687, 6885743, 16936247, 22413319, 38820263, 63977327, 84164447, 147452759, 150334567, 239422639, 300412031, 387154951, 473153959, 539526191, 760400783, 788128039 (list; graph; refs; listen; history; text; internal format)
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)=7. 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)=47.

PROG

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

CROSSREFS

Cf. A007522, A269519, A269521.

Sequence in context: A093112 A091516 A064385 * A009260 A201871 A198845

Adjacent sequences: A269517 A269518 A269519 * A269521 A269522 A269523

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Feb 28 2016

STATUS

approved

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Last modified February 3 15:25 EST 2023. Contains 360035 sequences. (Running on oeis4.)