In number theory, specifically the study of Diophantine approximation, the lonely runner conjecture is a conjecture about the long-term behavior of runners on a circular track. It states that n {\displaystyle n} runners on a track of unit length, with constant speeds all distinct from one another, will each be lonely at some time—at least 1 / n {\displaystyle 1/n} units away from all others.
In number theory, specifically the study of Diophantine approximation, the lonely runner conjecture is a conjecture about the long-term behavior of runners on a circular track. It states that n {\displaystyle n} runners on a track of unit length, with constant speeds all distinct from one another, will each be lonely at some time—at least 1 / n {\displaystyle 1/n} units away from all others.
Source: Wikipedia "Lonely runner conjecture" · CC BY-SA 4.0
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