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Erdős problem 943

Let AA be the set of powerful numbers. Is is true that 1A∗1A(n)=no(1)1_A\ast 1_A(n)=n^{o(1)} for every nn?

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FormalConjectures/ErdosProblems/

943.lean

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Let AA be the set of powerful numbers. Is is true that 1A∗1A(n)=no(1)1_A\ast 1_A(n)=n^{o(1)} for every nn?

FormalConjectures/ErdosProblems/943.leanErdos943.erdos_9431 lineExact file
True ↔ ∃ o, o =o[Filter.atTop] 1 ∧ ∀ᶠ (n : ℕ) in Filter.atTop, ↑(AdditiveCombinatorics.sumRep Nat.Powerful n) ≤ ↑n ^ o n
OpenStatement only, no proof