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2000 Swedish Mathematical Competition
3
n^2 + (n+1)^2 + (n+2)^2 = m^2
n^2 + (n+1)^2 + (n+2)^2 = m^2
Source: 2000 Swedish Mathematical Competition p3
March 21, 2021
number theory
Diophantine equation
diophantine
Problem Statement
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
?
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