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15
2017 PUMaC Team 15
2017 PUMaC Team 15
Source:
September 20, 2019
number theory
Problem Statement
How many ordered pairs of positive integers
(
x
,
y
)
(x, y)
(
x
,
y
)
satisfy
y
x
y
=
y
2017
yx^y = y^{2017}
y
x
y
=
y
2017
?
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