Problem 943

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Statement. Let $A$ be the set of powerful numbers (if $p\mid n$ then $p^2\mid n$). Is it true that

$$1_A\ast 1_A(n)=n^{o(1)}$$

for every $n$?

Status. Open.

Source. erdosproblems.com/943, accessed 2026-09-04. Cite as: T. F. Bloom, Erdős Problem #943, https://www.erdosproblems.com/943.

Formalization. Statement in formal-conjectures.

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