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Revision History for A106830

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A106830

Numerator of Sum_{ primes p <= n} 1/p.
(history; published version)

#8 by Harvey P. Dale at Sat Feb 17 13:45:16 EST 2018

STATUS

editing

approved

#7 by Harvey P. Dale at Sat Feb 17 13:45:01 EST 2018

LINKS

Harvey P. Dale, <a href="/A106830/b106830.txt">Table of n, a(n) for n = 1..1000</a>

MATHEMATICA

Accumulate[Table[If[PrimeQ[n], 1/n, 0], {n, 40}]]//Numerator (* Harvey P. Dale, Feb 17 2018 *)

STATUS

approved

editing

#6 by N. J. A. Sloane at Fri Dec 15 21:43:04 EST 2017

CROSSREFS

Related 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.

Discussion

Fri Dec 15

21:43

OEIS Server: https://oeis.org/edit/global/2725

#5 by N. J. A. Sloane at Fri Dec 15 21:37:52 EST 2017

STATUS

editing

approved

#4 by N. J. A. Sloane at Fri Dec 15 21:37:50 EST 2017

CROSSREFS

Denominators are in A034386. Cf. A024451/A002110.

Related fractions: 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.

STATUS

approved

editing

#3 by Russ Cox at Fri Mar 30 16:50:13 EDT 2012

AUTHOR

_N. J. A. Sloane (njas(AT)research.att.com), _, May 22 2005

Discussion

Fri Mar 30

16:50

OEIS Server: https://oeis.org/edit/global/110

#2 by N. J. A. Sloane at Fri Feb 27 03:00:00 EST 2009

KEYWORD

nonn,frac,new

AUTHOR

N. J. A. Sloane (njas, (AT)research.att.com), May 22 2005

#1 by N. J. A. Sloane at Tue Jul 19 03:00:00 EDT 2005

NAME

Numerator of Sum_{ primes p <= n} 1/p.

DATA

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

OFFSET

1,3

COMMENTS

Very similar to A024451, which see for further information.

EXAMPLE

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, ...

CROSSREFS

Denominators are in A034386. Cf. A024451/A002110.

KEYWORD

nonn,frac

AUTHOR

njas, May 22 2005

STATUS

approved