Page 1 of 1

On a prime summation

Posted: Wed Sep 13, 2017 8:46 am
by Riemann
Let $p_n$ denote the $n$ -th prime number. Evaluate the sum

$$\mathcal{S} = \sum_{n=1}^{\infty} \frac{ \log p_n}{p_n^2 -1}$$