RU-ALLRUSSIAN 1988 Problem 3
- Answer
Show that there are infinitely many triples of distinct positive integers a, b, c such that each divides the product of the other two and a + b = c + 1.
Dataset text NuminaMath olympiads. Quoted with source.
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\mathrm{n(n + 1), n(n^2 + n - 1), (n + 1)(n^2 + n - 1)}
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