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 A086978 #17 May 12 2025 23:32:00 %S A086978 211,1847,5623,30631,81509,82129,162209,173429,404671,542683,544367, %T A086978 1101071,1444411,2238931,5845309,6752747,6958801,11981587,13626407, %U A086978 49269739,83751287,147684323,166726561,378044179,895858267,1872852203 %N A086978 Increasing peaks in the prime gap sequence A001632. %C A086978 a(n) is the larger of the two consecutive primes having a late occurring prime gap g = p_k+1 - p_k. All even gaps smaller than g occur at a smaller prime. Also, the next even gap g+2 also occurs earlier. %D A086978 P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144. %H A086978 Thomas R. Nicely, <a href="https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html">First occurrence prime gaps</a> [For local copy see A000101] %H A086978 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeGaps.html">Prime Gaps</a>. %e A086978 1847 is in this list because the previous prime is 1831, giving a prime gap of 16. All even gaps less than 16 occur before this (for smaller primes) and the next even gap, 18, also occurs earlier. %Y A086978 Cf. A000230, A001223, A001632, A038664, A086977, A086979, A086980, A002386. %K A086978 nonn %O A086978 1,1 %A A086978 _Harry J. Smith_, Jul 26 2003