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2019 JBMO Shortlist
N5
JBMO Shortlist 2019 N5
JBMO Shortlist 2019 N5
Source:
September 12, 2020
number theory
Problem Statement
Find all positive integers
x
,
y
,
z
x, y, z
x
,
y
,
z
such that
4
5
x
ā
6
y
=
201
9
z
45^x-6^y=2019^z
4
5
x
ā
6
y
=
201
9
z
Proposed by Dorlir Ahmeti, Albania
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