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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
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)=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
KEYWORD
nonn
AUTHOR
Alexei Kourbatov, Feb 20 2016
STATUS
approved