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2003 Greece Junior Math Olympiad
4
4
Part of
2003 Greece Junior Math Olympiad
Problems
(1)
Number Theory
Source: Archimedes Junior 2003
3/17/2020
Find all positive integers which can be written in the form
(
m
n
+
1
)
/
(
m
+
n
)
(mn+1)/(m+n)
(
mn
+
1
)
/
(
m
+
n
)
, where
m
,
n
m,n
m
,
n
are positive integers.
number theory