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2022-IMOC
N4
N4
Part of
2022-IMOC
Problems
(1)
4 is not square, so (1,1) works?
Source: 2022 IMOC N4
9/5/2022
Find all pair of positive integers
(
m
,
n
)
(m,n)
(
m
,
n
)
such that
m
n
(
m
2
+
6
m
n
+
n
2
)
mn(m^2+6mn+n^2)
mn
(
m
2
+
6
mn
+
n
2
)
is a perfect square.Proposed by Li4 and Untro368
number theory
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