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The following formula holds: $$\log(n) = \displaystyle\sum_{d | n} \Lambda(d),$$ where $\log$ denotes the logarithm, the notation $d | n$ denotes that $d$ is a divisor of $n$, and $\Lambda$ denotes the Mangoldt function.

- This page was last modified on 16 June 2016, at 16:31.