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Nov 26, 2020 at 7:52 comment added Martin Sleziak This is the revision of the WP article around the time when this answer was posted. Hereis the current revision (as of November 2020). It now says that: "Von Koch (1901) proved that the Riemann hypothesis implies the "best possible" bound for the error of the prime number theorem." (The older wording, which is used in this answer, was is equivalent to.)
Nov 26, 2020 at 7:47 history edited Martin Sleziak CC BY-SA 4.0
http -> https (the question was bumped anyway)
Mar 5, 2010 at 20:45 history answered Álvaro Lozano-Robledo CC BY-SA 2.5