Theorem 8 of Rosser and Schoenfeld in their paper "Approximate formulas for some functions of prime numbers" says that for x>285, $$\prod \limits_{p \leq x} \frac{p_i}{p_i-1} \leq e^\gamma \ln (x) \left(1+\frac{1}{2\ln ^2 (x)} \right),$$ what is the upper bound for $\prod \limits_{p \leq x} \frac{p_i}{p_i-1}$ under RH? Can someone give an explicit formula like the above inequality? Thanks very much!
2026-04-05 15:21:45.1775402505
Upper bound for prime product under Riemann hypothesis
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From Robin's 1984 paper
(Any of ?) those bounds imply the RH so it is iff.