A269421 Primes 8k + 3 preceding the maximal gaps in A269420.

3, 19, 179, 379, 691, 1187, 1307, 4787, 15467, 22307, 43067, 83579, 273323, 373459, 1543291, 5364091, 5768803, 20941259, 137649667, 251522291, 369352163, 426008699, 938378747, 1042908091, 1378014731, 1878780427, 11474650339, 12402606331, 15931938899, 51025309339, 144309631099

Offset

1,1

Comments

Subsequence of A007520.

A269420 lists the corresponding record gap sizes. See more comments there.

Links

Table of n, a(n) for n=1..31.

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 + 3 are 3 and 11, so a(1)=3. The next prime of this form is 19; the gap 19-11 is not a record so nothing is added to the sequence. The next prime of this form is 43 and the gap 43-19=24 is a new record, so a(2)=19.

Prog

(PARI) re=0; s=3; forprime(p=11, 1e8, if(p%8!=3, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

Crossrefs

Cf. A007520, A269420, A269422.

Sequence in context: A129481 A276371 A156131 * A304578 A306576 A303064

Adjacent sequences: A269418 A269419 A269420 * A269422 A269423 A269424

Keyword

nonn

Author

Alexei Kourbatov, Feb 25 2016

Status

approved