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APMO
1997 APMO
2
2
Part of
1997 APMO
Problems
(1)
(2^n+2)/n being an integer
Source: APMO 1997
3/17/2006
Find an integer
n
n
n
, where
100
≤
n
≤
1997
100 \leq n \leq 1997
100
≤
n
≤
1997
, such that
2
n
+
2
n
\frac{2^n+2}{n}
n
2
n
+
2
is also an integer.
number theory