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Find the largest integer that divides all numbers of the form n^3 - n, where n is a positive integer.

 Aug 15, 2020
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Factor n^3 - n to get n(n^2 - 1) then n(n - 1)(n + 1) using the diference of two squares.  Hence the largest integer that divides n^3 - n is n + 1.

 Aug 15, 2020

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