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PEN S Problems
30
S 30
S 30
Source:
May 25, 2007
Miscellaneous Problems
Problem Statement
For how many positive integers
n
n
n
is
(
1999
+
1
2
)
n
+
(
2000
+
1
2
)
n
\left( 1999+\frac{1}{2}\right)^{n}+\left(2000+\frac{1}{2}\right)^{n}
(
1999
+
2
1
)
n
+
(
2000
+
2
1
)
n
an integer?
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