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2021 JBMO Shortlist
N5
N5
Part of
2021 JBMO Shortlist
Problems
(1)
JBMO Shortlist 2021 N5
Source: JBMO Shortlist 2021
7/2/2022
Find all pairs of integers
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
x
2
+
5
y
2
=
2021
y
x^2 + 5y^2 = 2021y
x
2
+
5
y
2
=
2021
y
.
Junior
Balkan
shortlist
2021
number theory
Diophantine equation
functional equation