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2018 Serbia JBMO TST
3
Exponential diophantine equation
Exponential diophantine equation
Source: Serbian JBMO TST 2018, problem 3
May 21, 2018
number theory
Diophantine equation
Problem Statement
Solve the equation in positive integers:
2
x
ā
3
y
5
z
=
1009
2^x-3^y 5^z=1009
2
x
ā
3
y
5
z
=
1009
.
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