MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
Princeton University Math Competition
2008 Princeton University Math Competition
A3/B4
2008 PUMaC Number Theory A3 / B4
2008 PUMaC Number Theory A3 / B4
Source:
October 4, 2019
number theory
Problem Statement
Find the largest integer
n
n
n
, where
200
9
n
2009^n
200
9
n
divides
200
8
200
9
2010
+
201
0
200
9
2008
2008^{2009^{2010}} + 2010^{2009^{2008}}
200
8
200
9
2010
+
201
0
200
9
2008
.
Back to Problems
View on AoPS