AlphaEvolve problems·alphaevolve:38
Factoring N! into N numbers
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For a natural number $N$, let $C(N)$ be the largest quantity such that $N!$ can be factored into $N$ factors that are greater than or equal to $C(N)$ (see OEIS A034258 ). Establish upper and lower bounds on $C(N)$ that are as strong as possible.
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qed.bot, “Factoring N! into N numbers”, https://qed.bot/t/alphaevolve-38, as of 30 Sep 2026.