MathDB
Problems
Contests
International Contests
JBMO ShortLists
2021 JBMO Shortlist
N5
JBMO Shortlist 2021 N5
JBMO Shortlist 2021 N5
Source: JBMO Shortlist 2021
July 2, 2022
Junior
Balkan
shortlist
2021
number theory
Diophantine equation
functional equation
Problem Statement
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
.
Back to Problems
View on AoPS