  Rosser and Schoenfeld remarked that the product $\prod_{p\leq x}(1-1/p)^{-1}$
exceeds $e^{\gamma} \log x$ for all $2\leq x\leq 10^8$, and raised the question
whether the difference changes sign infinitely often. This was confirmed in a
recent paper of Diamond and Pintz. In this paper, we show (under certain
hypotheses) that there is a strong bias in the race between the product
$\prod_{p\leq x}(1-1/p)^{-1}$ and $e^{\gamma}\log x$ which explains the
computations of Rosser and Schoenfeld.
