

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
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OFFSET

1,1


COMMENTS

The sequence counts the terms in the runs of composites associated with A136798A136799.
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



