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erdos_727

Specification

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

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Lean 4 Statement 
theorem erdos_727 : answer(sorry) ↔ ∀ k ≥ 2,
    Set.Infinite {n : ℕ | (Nat.factorial (n + k)) ^ 2 ∣ Nat.factorial (2 * n)}
ID: ErdosProblems__727__erdos_727
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