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2.

Part of 2022 Polish Junior Math Olympiad Second Round

Problems(1)

2022 Polish Junior Math Olympiad Second Round P2

Source: 2022 Polish Junior Math Olympiad Second Round

5/21/2023
Let n≥1n\geq 1 be an integer and let aa and bb be its positive divisors satisfying a+b+ab=na+b+ab=n. Prove that a=ba=b.
Chinese Remainder Theoremmatchings