A269426 Primes 8k + 1 at the end of the maximal gaps in A269424.

41, 73, 193, 521, 761, 2273, 6073, 8513, 10169, 22697, 37889, 73361, 80153, 221201, 351913, 1879601, 2321881, 4259641, 6395201, 8212553, 9619081, 11282657, 36087833, 59502977, 72496049, 236886401, 556953841, 809098513, 830450161, 888024649, 2420631793, 3845317297, 13243533449, 17279669993, 29704278649, 49624610521, 59974491817, 107046777121, 158191301329

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

Prog

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

Crossrefs

Cf. A007519, A269424, A269425.

Sequence in context: A214643 A142038 A213047 * A224671 A044107 A044488

Adjacent sequences: A269423 A269424 A269425 * A269427 A269428 A269429

Keyword

nonn

Author

Alexei Kourbatov, Feb 25 2016

Status

approved