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PEN A Problems
48
A 48
A 48
Source:
May 25, 2007
Divisibility Theory
pen
Problem Statement
Let
n
n
n
be a positive integer. Prove that
1
3
+
⋯
+
1
2
n
+
1
\frac{1}{3}+\cdots+\frac{1}{2n+1}
3
1
+
⋯
+
2
n
+
1
1
is not an integer.
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