login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Today, Nov 11 2014, is the 4th anniversary of the launch of the new OEIS web site. 70,000 sequences have been added in these four years, all edited by volunteers. Please make a donation (tax deductible in the US) to help keep the OEIS running.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A046024 a(n) = smallest k such that Sum_{ i = 1..k } 1/prime(i) exceeds n. 19
1, 3, 59, 361139, 43922730588128390 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The corresponding primes prime(a(n)) are in A016088.

Index m for which the prime harmonic number p[ m ] := Sum[ 1/Prime[ k ],{k,1,m} ] >= n.

LINKS

Table of n, a(n) for n=0..4.

E. Bach, D. Klyve, J. P. Sorenson, Computing prime harmonic sums, Math. Comp. 78 (2009) 2283-2305

Eric Weisstein's World of Mathematics, Prime Number.

Eric Weisstein's World of Mathematics, Harmonic Series of Primes

FORMULA

a(n) = A000720(A016088(n)) = A000720(A096232(n))+1. - Jonathan Sondow, Apr 17 2013

a(n) = e^(e^(n + O(1))), see comment in A223037. - Jonathan Sondow, Apr 17 2013; corrected by Charles R Greathouse IV, Aug 22 2013

a(n) = A103591(2*n). - Michel Marcus, Aug 22 2013

CROSSREFS

Cf. A004080, A016088, A096232, A223037.

Sequence in context: A185153 A215609 A201184 * A184951 A081853 A183286

Adjacent sequences:  A046021 A046022 A046023 * A046025 A046026 A046027

KEYWORD

nonn,more,nice

AUTHOR

Eric W. Weisstein

EXTENSIONS

a(4) found by Tomas Oliveira e Silva (tos(AT)det.ua.pt), using the fourth term of A016088. - Dec 14 2005

a(0) from Jonathan Sondow, Apr 16 2013

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Content is available under The OEIS End-User License Agreement .

Last modified December 20 07:03 EST 2014. Contains 252241 sequences.