A129856 -id:A129856 - cp's OEIS frontend

A136800 Number of composites in prime gaps of size 3 or larger, in order of appearance.

3, 3, 3, 5, 5, 3, 3, 5, 5, 5, 3, 5, 3, 5, 7, 3, 3, 3, 13, 3, 5, 9, 5, 5, 3, 5, 5, 9, 3, 11, 11, 3, 3, 5, 9, 5, 5, 5, 5, 3, 9, 13, 3, 3, 13, 5, 9, 3, 5, 7, 5, 5, 3, 5, 7, 3, 7, 9, 9, 5, 3, 5, 7, 3, 3, 11, 7, 3, 7, 3, 5, 11

Offset: 1

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Enoch Haga, Jan 22 2008

easy
nonn

The sequence counts the terms in the runs of composites associated with A136798-A136799.
A129856 is obtained by removing the composites (9, 15 etc.) from this sequence.
This is sequence A046933, with the zero and all the 1's deleted. - R. J. Mathar, Jan 24 2008

			a(1)=3 because in the run 8, 9, 10 there are three terms.

Cf. A136798, A136799, A136801.

Select[#[[2]]-#[[1]]-1&/@Partition[Prime[Range[100]],2,1],#>2&] (* Harvey P. Dale, Apr 08 2015 *)

a(n)=A136799(n)-A136798(n)+1.

Edited by R. J. Mathar, May 27 2009

cp's OEIS Frontend

A136800 Number of composites in prime gaps of size 3 or larger, in order of appearance.

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