A269425 Primes 8k + 1 preceding the maximal gaps in A269424.

17, 41, 137, 457, 673, 2161, 5953, 8377, 10009, 22481, 37657, 73121, 79889, 220897, 351529, 1879121, 2321393, 4259113, 6394657, 8211977, 9618457, 11282017, 36087113, 59502217, 72495233, 236885513, 556952881, 809097481, 830449097, 888023449, 2420630497, 3845315977, 13243532017, 17279668529, 29704277129, 49624608961, 59974490209, 107046775289, 158191299481

Offset

1,1

Comments

Subsequence of A007519.

A269424 lists the corresponding record gap sizes. See more comments there.

Links

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 + 1 are 17 and 41, so a(1)=17. The next prime of this form is 73 and the gap 73-41=32 is a new record, so a(2)=41.

Prog

(PARI) re=0; s=17; forprime(p=41, 1e8, if(p%8!=1, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

Crossrefs

Cf. A007519, A269424, A269426.

Sequence in context: A070183 A201705 A165668 * A164602 A078847 A201028

Adjacent sequences: A269422 A269423 A269424 * A269426 A269427 A269428

Keyword

nonn

Author

Alexei Kourbatov, Feb 25 2016

Status

approved