MathDB

Problem 2

Part of 2014 CIIM

Problems(1)

CIIM 2013 Problem 2

Source:

8/9/2016
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}).
CIIMCIIM 2014undergraduate