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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1999_04_30_croot: Croot's Main Theorem gives, for every N, a representation of 1 by distinct unit fractions with denominators in (N, (e+o(1))N], so f(k) = (1+o(1))k/(e-1) for infinitely many k; the site credits it as solving the problem.