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A269263 Primes 10k + 9 at the end of the maximal gaps in A269261. 3


%S 29,59,349,1229,3889,13619,15139,25169,50789,90989,91909,167729,

%T 422029,436279,528289,623669,1676569,5734439,9691439,31068619,

%U 35902579,40296209,47436509,59136419,156736049,283375579,410705059,603776759,1008310249,1036102069,1639287019

%N Primes 10k + 9 at the end of the maximal gaps in A269261.

%C Subsequence of A030433.

%C A269261 lists the corresponding record gap sizes. See more comments there.

%H Alexei Kourbatov, <a href="/A269263/b269263.txt">Table of n, a(n) for n = 1..37</a>

%H Alexei Kourbatov and Marek Wolf, <a href="https://arxiv.org/abs/1901.03785">Predicting maximal gaps in sets of primes</a>, arXiv preprint arXiv:1901.03785 [math.NT], 2019.

%e 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.

%o (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)

%Y Cf. A030433, A269261, A269262.

%K nonn

%O 1,1

%A _Alexei Kourbatov_, Feb 20 2016

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Last modified September 24 22:46 EDT 2021. Contains 347651 sequences. (Running on oeis4.)