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National and Regional Contests
China Contests
(China) National High School Mathematics League
2022 China Second Round
2
2
Part of
2022 China Second Round
Problems
(1)
China Second Round Olympiad 2022 Test 2 P2
Source: China Second Round Olympiad 2022 Test 2
9/11/2022
Integer
n
n
n
has
k
k
k
different prime factors. Prove that
σ
(
n
)
∣
(
2
n
−
k
)
!
\sigma (n) \mid (2n-k)!
σ
(
n
)
∣
(
2
n
−
k
)!
number theory