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Erdős problem 821

Is it true that, for every ϵ>0\epsilon>0, there exist infinitely many nn such that g(n)>n1−ϵg(n) > n^{1-\epsilon}?

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4 retained statements36c6d0fef71a

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FormalConjectures/ErdosProblems/

821.lean

Retained formal statement2 of 4

Erdős [Er35b] proved that there exists some constant c>0c>0 such that g(n)>ncg(n) > n^c for infinitely many nn.

FormalConjectures/ErdosProblems/821.leanErdos821.erdos_821.variants.erdos1 lineExact file
∃ c > 0, {n | ↑n ^ c < ↑(Erdos821.g n)}.Infinite
SolvedStatement only, no proof