%0 Journal Article
%T On the first sign change in Mertens' Theorem
%A Jan B¨šthe
%J Mathematics
%D 2015
%I arXiv
%R 10.4064/aa171-2-5
%X The function $\sum_{p\leq x} \frac{1}{p} - \log\log(x) - M$ is known to change sign infinitely often, but so far all calculated values are positive. In this paper we prove that the first sign change occurs well before $\exp(495.702833165)$.
%U http://arxiv.org/abs/1503.01277v2