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National and Regional Contests
PEN Problems
PEN A Problems
87
87
Part of
PEN A Problems
Problems
(1)
A 87
Source:
5/25/2007
Find all positive integers
n
n
n
such that
3
n
ā
1
3^{n}-1
3
n
ā
1
is divisible by
2
n
2^n
2
n
.
modular arithmetic
Divisibility Theory