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Problem 670
Let be a set of points such that all pairwise distances differ by at least . Is the diameter of at least ?
Source: erdosproblems.com/670
- Geometry
- Distances
Status
OpenNo claim settles this problem.
Open. The site labels the problem OPEN (page last edited 17 April 2026). The case is the pending partial claim on Erdős's proof on the line.