olymmath

RU-ALLRUSSIAN 1981 Problem 3

    Find an example of m and n such that m is the product of n consecutive positive integers and also the product of n+2\mathrm{n} + 2 consecutive positive integers. Show that we cannot have n=2\mathrm{n} = 2 .

    Dataset text NuminaMath olympiads. Quoted with source.

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