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 A016045 #31 Nov 17 2021 13:24:45 %S A016045 3,5,17,347,13901,128981,128981,113575727,2426256797,137168442221, %T A016045 4656625081181,101951758179851,484511389338941,221860944705726407 %N A016045 a(n) is the smallest prime p(k) such that the gaps between the primes p(k), p(k+1), p(k+2), ..., p(k+n) are 2, 4, 6, ... 2n. %D A016045 Steven Kahan, 2-4-6-8...Prime Gaps That Appreciate, J. Rec. Math., Vol. 25 #1, pp. 44-46, 1993 %F A016045 a(n) = min{x : x = prime; {x + k + k^2} = primes following x for k=1, .., n} %e A016045 Consider consecutive primes 347, 349, 353, 359, 367. The gaps are 2, 4, 6, 8, so a(4)=347. %Y A016045 Cf. A263049. %K A016045 nonn,more %O A016045 1,1 %A A016045 _Robert G. Wilson v_ %E A016045 Corrected and extended by _Jud McCranie_, Jun 24 2000 %E A016045 a(11)-a(13) from _Dmitry Petukhov_, Oct 03 2015 %E A016045 a(14) from _Dmitry Petukhov_, Jul 06 2016