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 A086979 #16 Feb 16 2025 08:32:50 %S A086979 46,282,738,3302,7970,8028,14862,15783,34202,44773,44903,85787,110224, %T A086979 165326,402884,460883,474029,786922,887313,2959782,4875380,8321465, %U A086979 9330121,20226285,45808557,92276646,114867712,201745031,265878477 %N A086979 Increasing peaks in the prime gap sequence A038664. %C A086979 a(n) is Pi(p_k), the number of primes up to and including p_k, where p_k is the initial prime of a prime gap g = p_k+1 - p_k. All even gaps smaller than g occur at a smaller prime and the next even gap g+2 also occurs earlier. %D A086979 P. Ribenboim, The Little Book of Big Primes. Springer-Verlag, 1991, p. 144. %H A086979 Thomas R. Nicely, <a href="https://faculty.lynchburg.edu/~nicely/gaps/gaplist.html">First occurrence prime gaps</a> [For local copy see A000101] %H A086979 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeGaps.html">Prime Gaps</a>. %e A086979 282 is in this list because the 282nd prime is 1831, the next prime is 1847, 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 A086979 Cf. A000230, A001223, A001632, A002386, A038664, A086977, A086978, A086980. %K A086979 nonn %O A086979 1,1 %A A086979 _Harry J. Smith_, Jul 26 2003