MathDB

8

Part of 2019 Turkey Team SeIection Test

Problems(1)

pn|(p-1)^n+1

Source: Turkey Team Selection Test 2019 Day 3 Problem 8

3/26/2019
Let p>2p>2 be a prime number, m>1m>1 and nn be positive integers such that mpn−1mn−1\frac {m^{pn}-1}{m^n-1} is a prime number. Show that: pn∣(p−1)n+1pn\mid (p-1)^n+1
number theory