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A136800 Number of composites in prime gaps of size 3 or larger, in order of appearance. 4
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

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

LINKS

Table of n, a(n) for n=1..72.

FORMULA

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

EXAMPLE

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

MATHEMATICA

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

CROSSREFS

Cf. A136798, A136799, A136801.

Sequence in context: A108025 A192451 A129856 * A126661 A162226 A001650

Adjacent sequences:  A136797 A136798 A136799 * A136801 A136802 A136803

KEYWORD

easy,nonn

AUTHOR

Enoch Haga, Jan 22 2008

EXTENSIONS

Edited by R. J. Mathar, May 27 2009

STATUS

approved

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Last modified April 13 09:12 EDT 2021. Contains 342935 sequences. (Running on oeis4.)