What question did this study set out to answer?

To prove the lonely runner conjecture for multiple runners using basic mathematical approaches.

March 24, 2026Open Access

lonely runner conjecture proof

To prove the lonely runner conjecture for multiple runners using basic mathematical approaches.
Utilized elementary mathematical techniques
Analyzed the positions of multiple runners over time
Explored geometric implications of runner movements
Confirmed the conjecture holds for n runners under established conditions
Demonstrated principles applicable to various runner configurations
Validated theoretical insights with straightforward proofs

this is a complete proof of lonely runner conjecture for n runners using elementary methods

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bhaskar kumar (Sun,) studied this question.

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