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.

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, 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, 3, 2, 3, 2, 7, 5, 3, 2, 11, 7, 5, 3, 2, 3, 2, 2, 3, 2, 11, 7

Offset

2,2

Comments

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.

Links

Peter J. C. Moses, Table of n, a(n) for n = 2..5001

Vladimir Shevelev, Peter J. C. Moses, Constellations of primes generated by twin primes, arXiv:1610.03385 [math.NT], 2016.

Formula

a(n)=2 if and only if prime(n+1) - prime(n) >=8.

Crossrefs

Cf. A159559, A277118.

Sequence in context: A277118 A200065 A067155 * A255288 A221341 A221106

Adjacent sequences: A277252 A277253 A277254 * A277256 A277257 A277258

Keyword

nonn

Author

Vladimir Shevelev and Peter J. C. Moses, Oct 22 2016

Status

approved