MathDB

Chinese Girls Mathematical Olympiad 2016, Problem 3

Source: China Beijing ,12 Aug 2016

August 12, 2016

number theory

Problem Statement

Let

m

and

n

are relatively prime integers and

m>1,n>1

. Show that:There are positive integers

a,b,c

such that

m^a=1+n^bc

, and

n

and

c

are relatively prime.