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2013 Danube Mathematical Competition
3
diophantine 85^m-n^4=4
diophantine 85^m-n^4=4
Source: Danube 2013 junior p3
July 22, 2019
Diophantine equation
diophantine
Exponential equation
exponential
number theory
Problem Statement
Determine the natural numbers
m
,
n
m,n
m
,
n
such as
8
5
m
ā
n
4
=
4
85^m-n^4=4
8
5
m
ā
n
4
=
4
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