Zeta Regularization and Products of Primes

Question

How can one prove that:

$2 * 3 * 5 * 7 \ldots = \prod_{n=1}^{\infty} p_i = 4\pi^2$

using zeta regularization?

The sum diverges like the Ramanujan/Euler product but it can be associated to a value on the zeta curve...

Answer 1

A proof can be found in this article or this preprint.