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3
SMT 2022 Algebra Tiebreaker #3
SMT 2022 Algebra Tiebreaker #3
Source:
March 28, 2023
Problem Statement
Determine
⌊
∏
n
=
2
2022
2
n
+
2
2
n
+
1
⌋
,
\left\lfloor\prod_{n=2}^{2022}\frac{2n+2}{2n+1}\right\rfloor,
⌊
n
=
2
∏
2022
2
n
+
1
2
n
+
2
⌋
,
given that the answer is relatively prime to
2022
2022
2022
.
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