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2003 Irish Math Olympiad
1
Easy number theory
Easy number theory
Source: Irish Math Olympiad 2003
May 1, 2017
Diophantine equation
number theory
Problem Statement
find all solutions, not necessarily positive integers for
(
m
2
+
n
)
(
m
+
n
2
)
=
(
m
+
n
)
3
(m^2+ n)(m+ n^2)= (m+ n)^3
(
m
2
+
n
)
(
m
+
n
2
)
=
(
m
+
n
)
3
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