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2007 Harvard-MIT Mathematics Tournament
13
13
Part of
2007 Harvard-MIT Mathematics Tournament
Problems
(1)
2007 Guts #13: Largest Integer Division
Source:
6/22/2012
Determine the largest integer
n
n
n
such that
7
2048
ā
1
7^{2048}-1
7
2048
ā
1
is divisible by
2
n
2^n
2
n
.