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Erdős problem 912

Prove that there exists some c>0c>0 such that h(n)c(nlogn)1/2h(n) \sim c \left(\frac{n}{\log n}\right)^{1/2} as nn\to \infty.

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FormalConjectures/ErdosProblems/

912.lean

Retained formal statement1 of 3

Prove that there exists some c>0c>0 such that h(n)c(nlogn)1/2h(n) \sim c \left(\frac{n}{\log n}\right)^{1/2} as nn\to \infty.

FormalConjectures/ErdosProblems/912.leanErdos912.erdos_9121 lineExact file
c > 0, Asymptotics.IsEquivalent Filter.atTop (fun n => ↑(Erdos912.h n)) fun n => c * (↑n / Real.logn) ^ (1 / 2)
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