|
| |
|
|
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
|
| |
|
|
