How I could transform this into product over primes :$s_p$= $\frac{1}{2^2-1}+\frac{1}{2^3-1}+....\frac{1}{2^p-1}$?

Question

1)Can I transforme this sum into product OVER primes:$s_p$= $\frac{1}{2^2-1}+\frac{1}{2^3-1}+....\frac{1}{2^p-1}$ ?

Note : p is prime number and ${2^p-1}$ is prime

2)I would be interest to know for which values of $p$ that let us turn $s_p$ as a product over prime ?