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A074633
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Subscript m such that Pi-harmonic sequence, pip[m]=Sum[1/PrimePi[k], {k, 1, m}]>=n. Here PrimePi()=A000720().
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4
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2, 4, 8, 12, 18, 27, 37, 51, 68, 89, 116, 147, 186, 232, 287, 352, 428, 518, 623, 745, 887, 1050, 1240, 1456, 1704, 1987, 2309, 2674, 3090, 3557, 4087, 4684, 5353, 6105, 6949, 7892, 8944, 10121, 11431, 12885, 14502, 16298, 18286, 20485, 22917, 25607
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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EXAMPLE
| n=85 is first exceeded at k=927685 subscript.
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MATHEMATICA
| {s=0, s1=0}; Do[s=s+(1/PrimePi[n]); If[Greater[Floor[s], s1], s1=Floor[s]; Print[{n, Floor[s]}]], {n, 2, 1000000}]
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CROSSREFS
| Cf. A004080, A046024, A074631, A000720.
Sequence in context: A053799 A085891 A006501 * A006500 A134181 A171645
Adjacent sequences: A074630 A074631 A074632 * A074634 A074635 A074636
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KEYWORD
| nonn
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Aug 28 2002
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