Problem 389

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Statement. Is it true that for every $n\geq 1$ there is a $k$ such that

$$n(n+1)\cdots(n+k-1)\mid (n+k)\cdots (n+2k-1)?$$

Status. Open.

Source. erdosproblems.com/389, accessed 2026-09-04. Cite as: T. F. Bloom, Erdős Problem #389, https://www.erdosproblems.com/389.

Formalization. Statement in formal-conjectures.

Progress

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Known Results

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