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erdos_396

Specification

Is it true that for every $k$ there exists $n$ such that $$\prod_{0\leq i\leq k}(n-i) \mid \binom{2n}{n}?$$

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Lean 4 Statement 
theorem erdos_396 : answer(sorry) ↔ ∀ k : ℕ, ∃ n : ℕ, descFactorial n (k + 1) ∣ centralBinom n
ID: ErdosProblems__396__erdos_396
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