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A136800
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Number of composites in prime gaps of size 3 or larger, in order of appearance.
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4
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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
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1,1
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COMMENTS
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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.
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LINKS
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FORMULA
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EXAMPLE
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a(1)=3 because in the run 8, 9, 10 there are three terms.
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MATHEMATICA
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Select[#[[2]]-#[[1]]-1&/@Partition[Prime[Range[100]], 2, 1], #>2&] (* Harvey P. Dale, Apr 08 2015 *)
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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