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Problems
Contests
National and Regional Contests
PEN Problems
PEN A Problems
16
16
Part of
PEN A Problems
Problems
(1)
A 16
Source:
5/25/2007
Determine if there exists a positive integer
n
n
n
such that
n
n
n
has exactly
2000
2000
2000
prime divisors and
2
n
+
1
2^{n}+1
2
n
+
1
is divisible by
n
n
n
.
induction
Divisibility Theory