login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269425 Primes 8k + 1 preceding the maximal gaps in A269424. 2
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 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 7 16:06 EST 2023. Contains 360128 sequences. (Running on oeis4.)