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0121 number theory 1st edition Round 2 p1

Source:

May 9, 2021
number theory1st edition

Problem Statement

Let AA be a finite set of positive integers. Prove that there exists a finite set BB of positive integers such that A⊂BA \subset B and ∏x∈Bx=∑x∈Bx2\prod_{x \in B} x =\sum_{x \in B}x^2
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