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Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
2000 Swedish Mathematical Competition
3
3
Part of
2000 Swedish Mathematical Competition
Problems
(1)
n^2 + (n+1)^2 + (n+2)^2 = m^2
Source: 2000 Swedish Mathematical Competition p3
3/21/2021
Are there any integral solutions to
n
2
+
(
n
+
1
)
2
+
(
n
+
2
)
2
=
m
2
n^2 + (n+1)^2 + (n+2)^2 = m^2
n
2
+
(
n
+
1
)
2
+
(
n
+
2
)
2
=
m
2
?
number theory
Diophantine equation
diophantine