MathDB

O 48

Source:

May 25, 2007

Problem Statement

Let

a_{1}, \cdots, a_{44}

be natural numbers such that

0<a_{1}<a_{2}< \cdots < a_{44}<125.

Prove that at least one of the

43

differences

d_{j}=a_{j+1}-a_{j}

occurs at least

10

times.

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