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A106830
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Numerator of Sum_{ primes p <= n} 1/p.
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13
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0, 1, 5, 5, 31, 31, 247, 247, 247, 247, 2927, 2927, 40361, 40361, 40361, 40361, 716167, 716167, 14117683, 14117683, 14117683, 14117683, 334406399, 334406399, 334406399, 334406399, 334406399, 334406399, 9920878441, 9920878441, 314016924901, 314016924901
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OFFSET
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1,3
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COMMENTS
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Very similar to A024451, which see for further information.
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LINKS
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Harvey P. Dale, Table of n, a(n) for n = 1..1000
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EXAMPLE
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0, 1/2, 5/6, 5/6, 31/30, 31/30, 247/210, 247/210, 247/210, 247/210, 2927/2310, 2927/2310, 40361/30030, 40361/30030, 40361/30030, ...
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MATHEMATICA
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Accumulate[Table[If[PrimeQ[n], 1/n, 0], {n, 40}]]//Numerator (* Harvey P. Dale, Feb 17 2018 *)
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CROSSREFS
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Denominators are in A034386.
The following fractions are all related to each other: Sum 1/n: A001008/A002805, Sum 1/prime(n): A024451/A002110 and A106830/A034386, Sum 1/nonprime(n): A282511/A282512, Sum 1/composite(n): A250133/A296358.
Sequence in context: A261569 A117858 A014434 * A265798 A259264 A259265
Adjacent sequences: A106827 A106828 A106829 * A106831 A106832 A106833
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KEYWORD
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nonn,frac
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AUTHOR
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N. J. A. Sloane, May 22 2005
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STATUS
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approved
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