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Preprint · arXiv; published in The Electronic Journal of Combinatorics (2026, doi:10.37236/14972) · 27 Nov 2025 · Mathematics · Not signed on Papex

Nine and ten lonely runners

Tanupat Trakulthongchai

AI use, as the source states it

“Rosenfeld recently obtained a computer-assisted proof of the conjecture for 8 runners. By refining his approach with a sieve, we obtain proofs (also computer-assisted) for 9 and 10 runners.”

Model: OpenAI GPT-5, as stated

Problem

Lonely runner conjecture

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