This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A269422 #9 Jan 18 2019 04:44:44 %S A269422 11,43,211,419,739,1259,1427,4931,15619,22483,43283,83843,273643, %T A269422 373859,1543811,5364683,5769403,20942083,137650523,251523163, %U A269422 369353099,426009691,938379811,1042909163,1378015843,1878781763,11474651731,12402607739,15931940483,51025311059,144309633179 %N A269422 Primes 8k + 3 at the end of the maximal gaps in A269420. %C A269422 Subsequence of A007520. %C A269422 A269420 lists the corresponding record gap sizes. See more comments there. %H A269422 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 A269422 The first two primes of the form 8k + 3 are 3 and 11, so a(1)=11. The next prime of this form is 19; the gap 19-11 is not a record so nothing is added to the sequence. The next prime of this form is 43 and the gap 43-19=24 is a new record, so a(2)=43. %o A269422 (PARI) re=0; s=3; forprime(p=11, 1e8, if(p%8!=3, next); g=p-s; if(g>re, re=g; print1(p", ")); s=p) %Y A269422 Cf. A007520, A269420, A269421. %K A269422 nonn %O A269422 1,1 %A A269422 _Alexei Kourbatov_, Feb 25 2016