A269424 -id:A269424 - cp's OEIS frontend

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

Alexei Kourbatov, Feb 25 2016

nonn

Subsequence of A007519.

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

			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.

Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

Cf. A007519, A269424, A269426.

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)

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

Original entry on oeis.org

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

Alexei Kourbatov, Feb 25 2016

nonn

Subsequence of A007519.

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

			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.

Alexei Kourbatov and Marek Wolf, Predicting maximal gaps in sets of primes, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

Cf. A007519, A269424, A269425.

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)

cp's OEIS Frontend

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

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

PARI