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A103599
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Smallest number m such that sum_{k=1..m} 1/prime(k) >= n/6.
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1
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1, 1, 1, 2, 2, 3, 4, 6, 10, 16, 29, 59, 140, 400, 1413, 6467, 40261, 361139, 4990906, 114916199, 4833601540
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OFFSET
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1,4
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COMMENTS
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a(22) > 5*10^10. - Robert Price, Dec 10 2013
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LINKS
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Table of n, a(n) for n=1..21.
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MATHEMATICA
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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 *)
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CROSSREFS
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Cf. A016088, A046024, A103591-A103600.
Sequence in context: A039829 A143588 A284908 * A032245 A013588 A108150
Adjacent sequences: A103596 A103597 A103598 * A103600 A103601 A103602
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KEYWORD
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nonn
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AUTHOR
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James R. Buddenhagen, Mar 28 2005
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EXTENSIONS
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a(2)-a(4) and a(19)-a(21) added by Robert Price, Dec 10 2013
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STATUS
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approved
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