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 A233433 #11 Feb 16 2025 08:33:21 %S A233433 97,1867,5647,15727,43777,79687,257857,1830337,3995437,5732137, %T A233433 9127627,9933607,16915267,23317747,32582437,38028577 %N A233433 Primes p in prime 5-tuples (p, p+4, p+6, p+10, p+12) at the end of the maximal gaps in A201062. %C A233433 Prime quintuplets (p, p+4, p+6, p+10, p+12) are one of the two types of densest permissible constellations of 5 primes. Maximal gaps between quintuplets of this type are listed in A201062; see more comments there. %H A233433 Alexei Kourbatov, <a href="/A233433/b233433.txt">Table of n, a(n) for n = 1..71</a> %H A233433 Tony Forbes, <a href="http://anthony.d.forbes.googlepages.com/ktuplets.htm">Prime k-tuplets</a> %H A233433 Alexei Kourbatov, <a href="http://www.javascripter.net/math/primes/maximalgapsbetweenprimequintuplets.htm">Maximal gaps between prime 5-tuples</a> %H A233433 Alexei Kourbatov, <a href="http://arxiv.org/abs/1309.4053">Tables of record gaps between prime constellations</a>, arXiv preprint arXiv:1309.4053, 2013. %H A233433 Eric W. Weisstein, <a href="https://mathworld.wolfram.com/k-TupleConjecture.html">k-Tuple Conjecture</a> %e A233433 The gap of 90 between quintuplets starting at p=7 and p=97 is the very first gap, so a(1)=97. The gap of 1770 between quintuplets starting at p=97 and p=1867 is a maximal (record) gap - larger than any preceding gap; therefore a(2)=1867. The gap after p=1867 is smaller, so a new term is not added. %Y A233433 Cf. A022007, A201062, A201063. %K A233433 nonn %O A233433 1,1 %A A233433 _Alexei Kourbatov_, Dec 09 2013