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5
2022 Spring LMT Team 5
2022 Spring LMT Team 5
Source:
September 1, 2022
number theory
Problem Statement
Find the sum
∑
n
=
1
2020
gcd
(
n
3
−
2
n
2
+
2021
,
n
2
−
3
n
+
3
)
.
\sum^{2020}_{n=1} \gcd (n^3 -2n^2 +2021,n^2 -3n +3).
n
=
1
∑
2020
g
cd
(
n
3
−
2
n
2
+
2021
,
n
2
−
3
n
+
3
)
.
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