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erdos_1054.parts.iii

Specification

Let $f(n)$ be the minimal integer $m$ such that $n$ is the sum of the $k$ smallest divisors of $m$ for some $k\geq 1$. Is it true that $\limsup f(n)/n=\infty$?

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Lean 4 Statement 
theorem erdos_1054.parts.iii : answer(sorry) ↔ ∃ (A : Set ℕ), A.HasDensity 1 ∧
    atTop.limsup (fun n ↦ (f n : EReal) / n) = ⊤
ID: ErdosProblems__1054__erdos_1054.parts.iii
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