Convergence of series
Posted: Mon Feb 08, 2016 2:08 pm
Let $\mathbb{P}$ denote the set of prime numbers and $p \in \mathbb{P}$. Examine if the limit
$$\lim_{n \rightarrow +\infty} \sum_{p \leq n} \frac{1}{p \log p}$$
exists.
$$\lim_{n \rightarrow +\infty} \sum_{p \leq n} \frac{1}{p \log p}$$
exists.