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2014 Polish MO Finals
2
Polish MO Finals 2014, Problem 5
Polish MO Finals 2014, Problem 5
Source: Polish MO Finals 2014
July 27, 2016
contests
Diophantine equation
number theory
Problem Statement
Find all pairs
(
x
,
y
)
(x,y)
(
x
,
y
)
of positive integers that satisfy
2
x
+
17
=
y
4
2^x+17=y^4
2
x
+
17
=
y
4
.
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