$\zeta(s) = \prod_{p \in ext{Primes}} (1 - p^{-s})^{-1}$

$\zeta(s) = \prod_{p \in ext{Primes}} (1 + p^{-s})$

$\zeta(s) = \sum_{p \in ext{Primes}} p^{-s}$

\zeta(s) = \int_1^\infty rac{1}{x^s} dx