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1
Sum is not an Integer
Sum is not an Integer
Source: 2011 IrMO Paper 2 Problem 1
February 8, 2018
algebra
Problem Statement
Prove that
2
3
+
4
5
+
⋯
+
2010
2011
\frac{2}{3}+\frac{4}{5}+\dots +\frac{2010}{2011}
3
2
+
5
4
+
⋯
+
2011
2010
is not an integer.
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