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2019 Thailand TSTST
2
2^x+31^y=z^2
2^x+31^y=z^2
Source: 2018 Thailand October Camp 3.2
February 19, 2022
number theory
Diophantine equation
Problem Statement
Find all nonnegative integers
x
,
y
,
z
x, y, z
x
,
y
,
z
satisfying the equation
2
x
+
3
1
y
=
z
2
.
2^x+31^y=z^2.
2
x
+
3
1
y
=
z
2
.
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