MathDB
[solved] - Real Axis

Source: Flanders '96

August 8, 2004
pigeonhole principle

Problem Statement

Consider the points 1,12,13,...1,\frac12,\frac13,... on the real axis. Find the smallest value k∈N0k \in \mathbb{N}_0 for which all points above can be covered with 5 closed intervals of length 1k\frac1k.
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