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erdos_727_variants.k_2

Specification

It is open even for $k = 2$. Let $k = 2$. Does $((n+k)!)^2∣(2n)!$ hold for infinitely many n?

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Lean 4 Statement 
theorem erdos_727_variants.k_2 :
    letI k
ID: ErdosProblems__727__erdos_727_variants.k_2
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