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A074633 Subscript m such that Pi-harmonic sequence, pip[m]=Sum[1/PrimePi[k], {k, 1, m}]>=n. Here PrimePi()=A000720(). 4
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; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..46.

EXAMPLE

n=85 is first exceeded at k=927685 subscript.

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}]

CROSSREFS

Cf. A004080, A046024, A074631, A000720.

Sequence in context: A006501 A224814 A224810 * A294049 A006500 A134181

Adjacent sequences:  A074630 A074631 A074632 * A074634 A074635 A074636

KEYWORD

nonn

AUTHOR

Labos Elemer, Aug 28 2002

STATUS

approved

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Last modified July 25 10:07 EDT 2021. Contains 346289 sequences. (Running on oeis4.)