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Regional Olympiad of Mexico Center Zone
2020 Regional Olympiad of Mexico Center Zone
5
Integers equation
Integers equation
Source:
October 25, 2020
number theory
Problem Statement
Find all positive integers
m
,
n
m,n
m
,
n
such that
m
2
+
5
n
m^2+5n
m
2
+
5
n
and
n
2
+
5
m
n^2+5m
n
2
+
5
m
are perfect squares.
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