login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A269262 Primes 10k + 9 preceding the maximal gaps in A269261. 3
19, 29, 269, 1129, 3779, 13499, 14969, 24989, 50599, 90749, 91639, 167449, 421739, 435949, 527929, 623299, 1676069, 5733929, 9690829, 31067999, 35901949, 40295539, 47435809, 59135689, 156735209, 283374709, 410704109, 603775769, 1008309229, 1036100939, 1639285799 (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, Table of n, a(n) for n = 1..37

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)=19. The next prime of this form is 59 and the gap 59-29=30 is a new record, so a(2)=29.

PROG

(PARI) re=0; s=19; forprime(p=29, 1e8, if(p%10!=9, next); g=p-s; if(g>re, re=g; print1(s", ")); s=p)

CROSSREFS

Cf. A030433, A269261, A269263.

Sequence in context: A265804 A276732 A038542 * A166659 A298763 A316678

Adjacent sequences:  A269259 A269260 A269261 * A269263 A269264 A269265

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 | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 26 20:41 EDT 2019. Contains 321534 sequences. (Running on oeis4.)