On a prime summation November 13, 2020 Tolaso Let denote the – th prime. Evaluate the sum They might interest you:Sophomore's dream constantA divergent series .... or maybe not?Lebesgue measure of Cantor setLimit and intersection point of a functionThe group is abelianAn indefinite integralIntegral functionNumber of solutionsExistence of constant (2)
denote the 
– th prime. Evaluate the sum![\[\mathcal{S} = \sum_{n=1}^{\infty} \frac{ \log p_n}{p_n^2 -1}\]](https://www.math.tolaso.com.gr/wp-content/ql-cache/quicklatex.com-bb13b77d861ee05fff943257ffeaddea_l3.png "Rendered by QuickLaTeX.com")
denote the – th prime. Evaluate the sum