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.

A277255 Let A_n defined in the same way as A159559, but with initial term prime(n); a(n) is the smallest number m such that A_(n+1)(m) - A_n(m) > 6 or a(n)=0 if there is no such m.

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%I A277255 #35 Nov 14 2016 13:11:26
%S A277255 0,13,0,0,9,0,0,13,0,15,0,9,0,0,11,0,17,13,11,7,5,3,2,0,11,7,5,3,2,7,
%T A277255 5,3,2,15,0,9,0,7,5,3,2,7,5,3,2,2,9,0,7,5,3,2,0,0,11,0,7,5,3,2,2,7,5,
%U A277255 3,2,3,2,7,5,3,2,11,7,5,3,2,3,2,2,3,2,11,7
%N A277255 Let A_n defined in the same way as A159559, but with initial term prime(n); a(n) is the smallest number m such that A_(n+1)(m) - A_n(m) > 6 or a(n)=0 if there is no such m.
%C A277255 A277118 is a subsequence. In contrast to A277118, the sequence contains some terms greater than 17. The first occurrence for 19 is n = 7061; the first occurrence for 21 is n = 214612 and the first occurrence for 23 is n = 30572.
%H A277255 Peter J. C. Moses, <a href="/A277255/b277255.txt">Table of n, a(n) for n = 2..5001</a>
%H A277255 Vladimir Shevelev, Peter J. C. Moses, <a href="https://arxiv.org/abs/1610.03385">Constellations of primes generated by twin primes</a>, arXiv:1610.03385 [math.NT], 2016.
%F A277255 a(n)=2 if and only if prime(n+1) - prime(n) >=8.
%Y A277255 Cf. A159559, A277118.
%K A277255 nonn
%O A277255 2,2
%A A277255 _Vladimir Shevelev_ and _Peter J. C. Moses_, Oct 22 2016