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2000 Harvard-MIT Mathematics Tournament
22
22
Part of
2000 Harvard-MIT Mathematics Tournament
Problems
(1)
2000 Guts #22: Minimum value
Source:
10/25/2014
Find the smallest
n
n
n
such that
2
2000
2^{2000}
2
2000
divides
n
!
n!
n
!
.