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

I have to prove this:

where 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.