A269520 Primes 8k + 7 preceding the maximal gaps in A269519.

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

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