cp's OEIS Frontend

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.

A233432 Primes p in prime 5-tuples (p, p+2, p+6, p+8, p+12) at the end of the maximal gaps in A201073.

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%I A233432 #11 Feb 16 2025 08:33:21
%S A233432 11,101,1481,16061,43781,144161,633461,768191,1573541,1917731,5928821,
%T A233432 11664551,35930171,54112601,73467131
%N A233432 Primes p in prime 5-tuples (p, p+2, p+6, p+8, p+12) at the end of the maximal gaps in A201073.
%C A233432 Prime quintuplets (p, p+2, p+6, p+8, 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 A201073; see more comments there.
%H A233432 Alexei Kourbatov, <a href="/A233432/b233432.txt">Table of n, a(n) for n = 1..64</a>
%H A233432 Tony Forbes, <a href="http://anthony.d.forbes.googlepages.com/ktuplets.htm">Prime k-tuplets</a>
%H A233432 Alexei Kourbatov, <a href="http://www.javascripter.net/math/primes/maximalgapsbetweenprimequintuplets.htm">Maximal gaps between prime 5-tuples</a>
%H A233432 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 A233432 Eric W. Weisstein, <a href="https://mathworld.wolfram.com/k-TupleConjecture.html">k-Tuple Conjecture</a>
%e A233432 The initial four gaps of 6, 90, 1380, 14580 (ending at p=11, 101, 1481, 16061) form an increasing sequence of records. Therefore a(1)=11, a(2)=101, a(3)=1481 and a(4)=16061. The next gap is not a record, so a new term is not added.
%Y A233432 Cf. A022006, A201073, A201074.
%K A233432 nonn
%O A233432 1,1
%A A233432 _Alexei Kourbatov_, Dec 09 2013