Problem of the Day #316: Möbius $\mu$ SumsJanuary 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 $n$?