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Erdős problem 942

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Let h(n)h(n) count powerful integers in [n2,(n+1)2)[n^2, (n+1)^2). What is the extremal order of h(n)h(n)?

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Let $h(n)$ count powerful integers in $[n^2, (n+1)^2)$. What is the extremal order of $h(n)$?

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