|
| |
|
|
A103599
|
|
Smallest number m such that Sum_{k=1..m} 1/prime(k) >= n/6.
|
|
1
|
|
|
|
1, 1, 1, 2, 2, 3, 4, 6, 10, 16, 29, 59, 140, 400, 1413, 6467, 40261, 361139, 4990906, 114916199, 4833601540
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,4
|
|
|
COMMENTS
|
a(22) > 5*10^10. - Robert Price, Dec 10 2013
|
|
|
LINKS
|
Table of n, a(n) for n=1..21.
|
|
|
MATHEMATICA
|
For[n = 1, n ≤ 17, n++, sum = 0; For[k = 1, k ≤ 10^6, k++, sum = sum + 1/Prime[k]; If[sum >= n/6, Print[k]; Break[]]]] (* Robert Price, Dec 09 2013 *)
Table[m = 1; s = 0; While[(s = s + 1/Prime[m]) < n/6, m++];
m, {n, 1, 17}] (* Robert Price, Mar 27 2019 *)
|
|
|
CROSSREFS
|
Cf. A016088, A046024, A103591-A103600.
Sequence in context: A143588 A284908 A329695 * A032245 A013588 A108150
Adjacent sequences: A103596 A103597 A103598 * A103600 A103601 A103602
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
James R. Buddenhagen, Mar 28 2005
|
|
|
EXTENSIONS
|
a(2)-a(4) and a(19)-a(21) added by Robert Price, Dec 10 2013
|
|
|
STATUS
|
approved
|
| |
|
|
