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Turkey EGMO TST
2018 Turkey EGMO TST
2
Turkey Egmo Tst 2018 p2
Turkey Egmo Tst 2018 p2
Source:
February 9, 2018
number theory
Problem Statement
Determine all pairs
(
m
,
n
)
(m,n)
(
m
,
n
)
of positive integers such that
m
2
+
n
2
=
2018
(
m
ā
n
)
m^2+n^2=2018(m-n)
m
2
+
n
2
=
2018
(
m
ā
n
)
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