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Cuba MO
2012 Cuba MO
5
m^2 + n^2 =(m + 1)(n + 1)
m^2 + n^2 =(m + 1)(n + 1)
Source: 2012 Cuba MO 2.5
September 18, 2024
number theory
diophantine
Diophantine equation
Problem Statement
Find all pairs
(
m
,
n
)
(m, n)
(
m
,
n
)
of positive integers such that
m
2
+
n
2
=
(
m
+
1
)
(
n
+
1
)
.
m^2 + n^2 =(m + 1)(n + 1).
m
2
+
n
2
=
(
m
+
1
)
(
n
+
1
)
.
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