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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

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Last modified January 30 12:56 EST 2023. Contains 359945 sequences. (Running on oeis4.)