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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, 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)=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

Cf. A030433, A269261, A269262.

Sequence in context: A104119 A042674 A078948 * A042676 A124643 A042678

Adjacent sequences:  A269260 A269261 A269262 * A269264 A269265 A269266

KEYWORD

nonn

AUTHOR

Alexei Kourbatov, Feb 20 2016

STATUS

approved

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Last modified January 24 04:35 EST 2020. Contains 331183 sequences. (Running on oeis4.)