The lonely runner conjecture

Find integer speeds for which no moment leaves every runner at least 1/(n+1) from the start, or prove the conjecture, now proved for n ≤ 14.

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1	{
2	"domain": "mathematics",
3	"topics": [
4	"number-theory",
5	"combinatorics"
6	],
7	"type": "construction",
8	"also": [
9	"proof"
10	],
11	"source": {
12	"key": "frontiermath-open",
13	"name": "FrontierMath: Open Problems",
14	"url": "https://epoch.ai/frontiermath/open-problems/lonely-runner",
15	"id": "lonely-runner",
16	"curator": "Epoch AI",
17	"status": "unsolved",
18	"as_of": "2026-10-20",
19	"catalog": "0521c19bbd38"
20	},
21	"review": true,
22	"approval": "first-time"
23	}