Consider the Euler product ζ(s) = product_(k = 1)^∞ 1/(1 - 1/p_k^s), where ζ(s) is the Riemann zeta function and p_k is the kth prime. ζ(1) = ∞

Euler product | infinite product | Mertens constant | Mertens second theorem | prime number theorem | prime products