1. ## Quick question

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

I have to prove this:

$\displaystyle\lim_{n\to\infty}\displaystyle\sum_{n =1}^{\infty}\frac{1}{p_n}$ where $p_n$ 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.

2. Originally Posted by Utherr
I got a "mini-project" i have to present to my teacher @ college.

I have to prove this:

$\displaystyle\lim_{n\to\infty}\displaystyle\sum_{n =1}^{\infty}\frac{1}{p_n}$ where $p_n$ 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.
i think you posted the problem wrong. look back at what you typed and make sure it is correct

3. Ok, i meant prove that the series diverge, i got an old math book which mentions this series but with no demonstration (it only says Euler in parenthesis).