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erdos_30

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Is it true that, for every $\varepsilon > 0$, $h(N) = \sqrt N + O_{\varespilon}(N^\varespilon)

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Lean 4 Statement 
theorem erdos_30 : answer(sorry) ↔
    ∀ᵉ (ε > 0), (fun N => h N - (N : Real).sqrt) =O[atTop] fun N => (N : ℝ)^(ε : ℝ)
ID: ErdosProblems__30__erdos_30
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