The Lonely Runner Conjecture
An unsolved mystery in combinatorial number theory
Published in
6 min readMay 30, 2023
Imagine 8 runners on a circular track of 1 unit length all running at different constant speeds and all starting from the same place. Will each runner be at least 1/8 units of the track away from every other runner at some point in time?
Will each runner eventually become lonely?
