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Minimum value of an one to one function

Source: Bangladesh Mathematical Olympiad 2020 Problem 6

February 19, 2022
functionalgebra

Problem Statement

ff is a one-to-one function from the set of positive integers to itself such that f(xy)=f(x)×f(y)f(xy) = f(x) × f(y) Find the minimum possible value of f(2020)f(2020).
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