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 P: 64 I was wondering if one of the consequences of the Elliott-Halberstam conjecture would imply the Riemann Hypothesis (RH) or the Generalized Riemann Hypothesis (GRH)? Or at least if there is a connection between the Elliott-Halberstam conjecture and RH or GRH? I ask because the Bombieri-Vinogradov (which is related to the Elliott-Halberstam conjecture) theorem was proven assuming GRH.