Show that the series $$\sum_\text{p prime}\frac{1}{p}$$ is divergent.
I know that $\sum_{p=1}^\infty \frac{1}{p}$ is a p-series with $p=1$, it is a Harmonic series and is divergent, but in this case $p$ are only the prime numbers. Is it still valid?
Show that the series $$\sum_\text{p prime}\frac{1}{p}$$ is divergent.
I know that $\sum_{p=1}^\infty \frac{1}{p}$ is a p-series with $p=1$, it is a Harmonic series and is divergent, but in this case $p$ are only the prime numbers. Is it still valid?