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2002 Germany Team Selection Test
3
x^{2y} + (x+1)^{2y} = (x+2)^{2y}
x^{2y} + (x+1)^{2y} = (x+2)^{2y}
Source: VAIMO 3, German Pre-TST 2002
July 17, 2011
number theory unsolved
number theory
Problem Statement
Determine all
(
x
,
y
)
ā
N
2
(x,y) \in \mathbb{N}^2
(
x
,
y
)
ā
N
2
which satisfy
x
2
y
+
(
x
+
1
)
2
y
=
(
x
+
2
)
2
y
.
x^{2y} + (x+1)^{2y} = (x+2)^{2y}.
x
2
y
+
(
x
+
1
)
2
y
=
(
x
+
2
)
2
y
.
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