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[x/2] [x/3][x/4]=x^2

Source: Austrian Regional Competition For Advanced Students 2013, p2

February 19, 2020
algebrafloor function

Problem Statement

Determine all integers xx satisfying [x2][x3][x4]=x2. \left[\frac{x}{2}\right] \left[\frac{x}{3}\right] \left[\frac{x}{4}\right] = x^2. ([y][y] is the largest integer which is not larger than y.y.)
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