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Problem of the Day #334: Philogs February 16, 2012

Posted by Albert in : potd , trackback

Express in terms of $n$:

$$\sum\limits_{k=1}^n \log\left(\phi(k)\right) \;\;\;\;\; – \; \sum\limits_{p \, \in \, primes} \log\left( \left(1 – \frac{1}{p} \right)^{\lfloor{\frac{n}{p}}\rfloor} \right)$$

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