I wonder what is the value of $$\sum_{p\in\mathbb{P}} q^p$$
where $p$ is taking values in primes and $0<q<1$?
I wonder what is the value of $$\sum_{p\in\mathbb{P}} q^p$$
where $p$ is taking values in primes and $0<q<1$?
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Almost certainly there is no closed form for this.