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Erdős problem 920

Is it true that, for k4k\geq 4, fk(n)n11k1(logn)ckf_k(n) \gg \frac{n^{1-\frac{1}{k-1}}}{(\log n)^{c_k}} for some constant ck>0c_k>0?

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Retained declaration

FormalConjectures/ErdosProblems/920.lean

Formal Conjectures

FormalConjectures/ErdosProblems/920.leanErdos920.erdos_9202 linesExact file
Truek ≥ 4, ∃ c > 0, (fun n => ↑n ^ (1 - 1 / (↑k - 1)) / Real.logn ^ c) =O[Filter.atTop] fun n => ↑(Erdos920.f k n)
SolvedStatement only, no proof

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