MathDB
Problems
Contests
International Contests
Pan African
2012 Pan African
2
n^m - m divides m^2 + 2m
n^m - m divides m^2 + 2m
Source: Pan African MO 2012 Day 1 Q2
October 14, 2012
inequalities
number theory proposed
number theory
Problem Statement
Find all positive integers
m
m
m
and
n
n
n
such that
n
m
ā
m
n^m - m
n
m
ā
m
divides
m
2
+
2
m
m^2 + 2m
m
2
+
2
m
.
Back to Problems
View on AoPS