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1
Typical number theory problem with case work
Typical number theory problem with case work
Source: Azerbaijan BMO TST 2018, D2 P1
August 1, 2023
number theory
Problem Statement
Find all positive integers
(
x
,
y
)
(x,y)
(
x
,
y
)
such that
x
2
+
y
2
=
2017
(
x
ā
y
)
x^2+y^2=2017(x-y)
x
2
+
y
2
=
2017
(
x
ā
y
)
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