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2024 CMIMC Algebra and Number Theory
8
2024 Alg/NT Problem 8
2024 Alg/NT Problem 8
Source:
April 14, 2024
number theory
Problem Statement
Compute the number of non-negative integers
k
<
2
20
k < 2^{20}
k
<
2
20
such that
(
5
k
k
)
\binom{5k}{k}
(
k
5
k
ā
)
is odd.Proposed by David Tang
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