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Junior Balkan MO
2018 Junior Balkan MO
1
1
Part of
2018 Junior Balkan MO
Problems
(1)
JBMO 2018 P1
Source: JBMO
6/21/2018
Find all integers
m
m
m
and
n
n
n
such that the fifth power of
m
m
m
minus the fifth power of
n
n
n
is equal to
16
m
n
16mn
16
mn
.
JBMO
number theory
algebra