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Erdős problem 694

Let f_\max(n) be the largest mm such that ϕ(m)=n\phi(m) = n, and f_\min(n) be the smallest such mm, where ϕ\phi is Euler's totient function. Investigate \max_{n\leq x}\frac{f_\max(n)}{f_\min(n)}.

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