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!)
A269263 Primes 10k + 9 at the end of the maximal gaps in A269261. 3
29, 59, 349, 1229, 3889, 13619, 15139, 25169, 50789, 90989, 91909, 167729, 422029, 436279, 528289, 623669, 1676569, 5734439, 9691439, 31068619, 35902579, 40296209, 47436509, 59136419, 156736049, 283375579, 410705059, 603776759, 1008310249, 1036102069, 1639287019 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Subsequence of A030433.
A269261 lists the corresponding record gap sizes. See more comments there.
LINKS
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 10k + 9 are 19 and 29, so a(1)=29. The next prime of this form is 59 and the gap 59-29=30 is a new record, so a(2)=59.
PROG
(PARI) re=0; s=19; forprime(p=29, 1e8, if(p%10!=9, next); g=p-s; if(g>re, re=g; print1(p", ")); s=p)
CROSSREFS
Sequence in context: A356717 A042674 A078948 * A042676 A124643 A042678
KEYWORD
nonn
AUTHOR
Alexei Kourbatov, Feb 20 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 March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)