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Exponential diophantine in nonnegative integers
Exponential diophantine in nonnegative integers
Source:
February 3, 2014
number theory
AZE JUNIOR NATIONAL MO
Problem Statement
Solve the following diophantine equation in the set of nonnegative integers:
1
1
a
5
b
ā
3
c
2
d
=
1
11^{a}5^{b}-3^{c}2^{d}=1
1
1
a
5
b
ā
3
c
2
d
=
1
.
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