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Problem of the Day #316: Möbius $\mu$ Sums January 29, 2012

Posted by Albert in : potd , trackback

Let $\mu$ be the Möbius function. Find the smallest value of $n \geq 1$ such that:

$$\sum\limits_{i=1}^n \; i \cdot \mu(i) = 0$$

Can you find the next smallest value of $n$?

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