MathDB
Problems
Contests
National and Regional Contests
Greece Contests
Greece Junior Math Olympiad
2015 Greece Junior Math Olympiad
2
Number Theory
Number Theory
Source: Archimedes Junior 2015
March 16, 2020
number theory
Problem Statement
Determine all pairs of non-negative integers
(
m
,
n
)
(m, n)
(
m
,
n
)
with m ≥n, such that
(
m
+
n
)
3
(m+n)^3
(
m
+
n
)
3
divides
2
n
(
3
m
2
+
n
2
)
+
8
2n(3m^2+n^2)+8
2
n
(
3
m
2
+
n
2
)
+
8
Back to Problems
View on AoPS