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China Northern MO
2010 China Northern MO
3
1 + 2^x 3^y=5^z , diophantine
1 + 2^x 3^y=5^z , diophantine
Source: : China Northern MO 2010 p3 CNMO
May 4, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Find all positive integer triples
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
such that
1
+
2
x
ā
3
y
=
5
z
1 + 2^x \cdot 3^y=5^z
1
+
2
x
ā
3
y
=
5
z
is true.
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