 The Erdős Distance Problem

The Erdős Distance Problem is a classic problem in combinatorial geometry that concerns the maximum number of distinct distances that can be formed by a finite set of points in the plane. Specifically, the problem is named after the Hungarian mathematician Paul Erdős. The fundamental question can be stated as follows: Given a finite set of \( n \) points in the plane, what is the maximum number of distinct distances that can be formed between pairs of points in this set?