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National and Regional Contests
PEN Problems
PEN A Problems
14
14
Part of
PEN A Problems
Problems
(1)
A 14
Source:
5/25/2007
Let
n
n
n
be an integer with
n
≥
2
n \ge 2
n
≥
2
. Show that
n
n
n
does not divide
2
n
−
1
2^{n}-1
2
n
−
1
.
Putnam
modular arithmetic
number theory
Divisibility Theory