A New Upper Bound on the Smallest Counterexample to the Mertens Conjecture
John Rozmarynowycz, Seungki Kim · Experimental Mathematics · 2025
We report the finding of the new upper bound on the lowest positive integer x for which the Mertens conjecture fails to hold: x< exp (1.017×1029), an improvement over previously known exp (1.004×1033) due to Saouter and te Riele.