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Junior Balkan MO
2006 Junior Balkan MO
1
Divisibility
Divisibility
Source: JBMO 2006
June 29, 2006
floor function
number theory unsolved
number theory
Problem Statement
If
n
>
4
n>4
n
>
4
is a composite number, then
2
n
2n
2
n
divides
(
n
ā
1
)
!
(n-1)!
(
n
ā
1
)!
.
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