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Source:
January 1, 2022
number theory
Problem Statement
Find the number of ordered pairs of integers
(
x
,
y
)
(x, y)
(
x
,
y
)
such that
2167
2167
2167
divides
3
x
2
+
27
y
2
+
2021
3x^2 + 27y^2 + 2021
3
x
2
+
27
y
2
+
2021
with
0
≤
x
,
y
≤
2166
0 \le x, y \le 2166
0
≤
x
,
y
≤
2166
.
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