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2005 Estonia Team Selection Test
3
(x + y)^x = x^y diophantine
(x + y)^x = x^y diophantine
Source: Estonia IMO TST 2005 p3
March 28, 2020
Diophantine equation
diophantine
number theory
Problem Statement
Find all pairs
(
x
,
y
)
(x, y)
(
x
,
y
)
of positive integers satisfying the equation
(
x
+
y
)
x
=
x
y
(x + y)^x = x^y
(
x
+
y
)
x
=
x
y
.
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