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China Northern MO
2011 China Northern MO
3
1 + 2^x 7^y=z^2, diophantine
1 + 2^x 7^y=z^2, diophantine
Source: China Northern MO 2011 p3 CNMO
May 4, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Find all positive integer solutions
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
of the equation
1
+
2
x
ā
7
y
=
z
2
1 + 2^x \cdot 7^y=z^2
1
+
2
x
ā
7
y
=
z
2
.
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