How would you call this sum?

Question

One has:

• $\sum_n x^n$: sum of powers,
• $\sum_n \frac{1}{x^n}$: sum of reciprocal of powers,
• $\sum_p \frac{1}{x^p}$: ?

Note that $p\in\mathbb{P}$, where $\mathbb{P}$ denotes the set of prime numbers.