Originally Posted by

**Utherr** I got a "mini-project" i have to present to my teacher @ college.

I have to prove this:

$\displaystyle \displaystyle\lim_{n\to\infty}\displaystyle\sum_{n =1}^{\infty}\frac{1}{p_n} $ where $\displaystyle p_n$ is the n-th prime number, is divergent.

I don't want an elaborate explanation here on this forums, i just want to know where can i find some documentation about this limit/series and learn and understand the method to prove it.

I don't really know how to look for this series so i figured I'd ask on this forum :P.