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A103593
Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/3.
0
1, 2, 3, 6, 16, 59, 400, 6467, 361139, 114916199
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OFFSET
1,2
COMMENTS
a(n) <= e^(e^(n/3)), therefore a(10) < 1492725701441. -
Stefan Steinerberger
, Mar 18 2006
a(11) > 5*10^10. -
Robert Price
, Dec 10 2013
LINKS
Table of n, a(n) for n=1..10.
Eric Weisstein's World of Mathematics,
Harmonic Series of Primes
MATHEMATICA
Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/3, m++];
m, {n, 1, 10}] (*
Robert Price
, Mar 27 2019 *)
CROSSREFS
Cf.
A016088
,
A046024
,
A103591
-
A103600
.
Sequence in context:
A087983
A340911
A328409
*
A174118
A368947
A006449
Adjacent sequences:
A103590
A103591
A103592
*
A103594
A103595
A103596
KEYWORD
nonn
,
more
AUTHOR
James R. Buddenhagen
, Mar 28 2005
EXTENSIONS
a(10) from
Robert Price
, Dec 10 2013
STATUS
approved
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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)