MathDB
CIIM 2013 Problem 2

Source:

August 9, 2016
CIIMCIIM 2014undergraduate

Problem Statement

Let nn be an integer and pp a prime greater than 2. Show that: (p−1)nn!∣(pn−1)(pn−p)(pn−p2)⋯(pn−pn−1).(p-1)^nn!|(p^n-1)(p^n-p)(p^n-p^2)\cdots(p^n-p^{n-1}).
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