We can define the Mertens product, Mertens(x), named after Franz Mertens (1840-1927) as: Mertens(x) := Product_{primes ‘p’ <= x} ( 1 – 1/p) . A result known as Mertens’ Third Theorem is that , with C = e^(-gamma), gamma being the Euler-Mascheroni constant, and the number ‘e’ being the base for natural logarithms, lim_{ x… Continue reading Computing Mertens product in quadruple precision