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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?

Roland
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