whatWhat is the propabilityprobability for an integer in the interval $[1,n^2]$ not to be the product of two integers in the interval $[1,n]$?
i know it is at least $$\sum_{i=1}^{\infty}\left(log(1+\frac{1}{2i-1})\right)^{2i-1}.$$$$\sum_{i=1}^{\infty}\left(\log(1+\frac{1}{2i-1})\right)^{2i-1}.$$