Erdős problem 727 · problems.science

Let $k ≥ 2$ . Does $((n+k)!)^2∣(2n)!$ hold for infinitely many $n$ ?

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4 retained statements2415f78e850a

FormalConjectures/ErdosProblems/

727.lean

Retained formal statement2 of 4

Balakran proved this holds for $k = 1$ .

Let $k = 1$ . Does $((n+k)!)^2∣(2n)!$ for infinitely many $n$ ?

FormalConjectures/ErdosProblems/727.leanErdos727.erdos_727.variants.k_11 lineExact file

1True ↔ {n | (n + 1).factorial ^ 2 ∣ (2 * n).factorial}.Infinite

SolvedStatement only, no proof