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(x+2)^{2023}-x^{2023}

Source: JOM 2023 P1

February 20, 2023
number theory

Problem Statement

Does there exist a positive integer, xx, such that (x+2)2023āˆ’x2023(x+2)^{2023}-x^{2023} has exactly 202320232023^{2023} factors?
Proposed by Wong Jer Ren
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