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keisanHigh-precision calculations for everyday life and work

Reverse calculation of the sum of a special series (sum of reciprocals)

Author: kimioChanExecutions: 2474

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Sn =
=1+1/2+1/3+1/4....+1/n = Σ(1/k), (k=1..n)
n =  
(Inverse Calculation of the Sum of Reciprocals)
Given the sum of reciprocals Sn = 1 + 1/2 + 1/3 + 1/4 + 1/5 + ... + 1/n = Σ(1/k), (k = 1, ..., n),
find the value of n that does not exceed Sn.

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