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National and Regional Contests
PEN Problems
PEN A Problems
85
85
Part of
PEN A Problems
Problems
(1)
A 85
Source:
5/25/2007
Find all
n
∈
N
n \in \mathbb{N}
n
∈
N
such that
2
n
−
1
2^{n-1}
2
n
−
1
divides
n
!
n!
n
!
.
Divisibility Theory