A269422 Primes 8k + 3 at the end of the maximal gaps in A269420.

11, 43, 211, 419, 739, 1259, 1427, 4931, 15619, 22483, 43283, 83843, 273643, 373859, 1543811, 5364683, 5769403, 20942083, 137650523, 251523163, 369353099, 426009691, 938379811, 1042909163, 1378015843, 1878781763, 11474651731, 12402607739, 15931940483, 51025311059, 144309633179

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)=11. 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)=43.

Prog

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

Crossrefs

Cf. A007520, A269420, A269421.

Sequence in context: A213763 A302226 A201714 * A259798 A239266 A259963

Adjacent sequences: A269419 A269420 A269421 * A269423 A269424 A269425

Keyword

nonn

Author

Alexei Kourbatov, Feb 25 2016

Status

approved