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Cuba MO
2012 Cuba MO
5
5
Part of
2012 Cuba MO
Problems
(1)
m^2 + n^2 =(m + 1)(n + 1)
Source: 2012 Cuba MO 2.5
9/18/2024
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
)
.
number theory
diophantine
Diophantine equation