lonely runner conjecture

number-theoretic conjecture that states that π‘˜ people running around a circular track with distinct speeds will each be, at some point, separated by ¹⁄ₖ from every other runner
Place conjecture Q6671695
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lonely runner conjecture

Summary

lonely runner conjecture is a conjecture[1]. It ranks in the top 8% of conjecture entities by monthly Wikipedia readership (231 views/month).[2]

Key Facts

  • lonely runner conjecture's video is recorded as Lonely runner.gif[3].
  • lonely runner conjecture's instance of is recorded as conjecture[4].
  • lonely runner conjecture's part of is recorded as list of unsolved problems in mathematics[5].
  • lonely runner conjecture's has use is recorded as circulant graph[6].
  • lonely runner conjecture's has use is recorded as chromatic number[7].
  • lonely runner conjecture's publication date is recorded as +1967-00-00T00:00:00Z[8].
  • lonely runner conjecture's Freebase ID is recorded as /m/04n5xtc[9].
  • lonely runner conjecture's defining formula is recorded as \forall0<v_1<v_2<\dotsb0\forall i\in{1,\dotsc,n-1}\colon\frac 1n\le\operatorname{frac}(v_it)\le 1-\frac 1n<sup id="cite-C8" class="cite-ref" title="lonely runner conjecture β€” defining formula (P2534): \forall0<v_1<v_2<\dotsb0\forall i\in{1,\dotsc,n-1}\colon\frac 1n\le\operatorname{frac}(v_it)\le 1-\frac 1n">[10].
  • lonely runner conjecture's studied by is recorded as diophantine approximation[11].
  • lonely runner conjecture's studied by is recorded as game theory[12].
  • lonely runner conjecture's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • lonely runner conjecture's Microsoft Academic ID is recorded as 78635031[14].
  • lonely runner conjecture's in defining formula is recorded as \operatorname{frac}[15].
  • lonely runner conjecture's OpenAlex ID is recorded as C78635031[16].

Body

Geography

lonely runner conjecture's part of is recorded as list of unsolved problems in mathematics[5].

Designation and Status

lonely runner conjecture's instance of is recorded as conjecture[4].

Why It Matters

lonely runner conjecture ranks in the top 8% of conjecture entities by monthly Wikipedia readership (231 views/month).[2] It has Wikipedia articles in 8 language editions, a strong signal of global cultural recognition.[17]

References

Programmatic citations β€” every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . Retrieved . wikidata.org.
  4. [6] ↑ . Retrieved . wikidata.org.
  5. [7] ↑ . Retrieved . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . Retrieved . wikidata.org.
  10. [12] ↑ . Retrieved . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] ↑ . Wikidata sitelinks. wikidata.org.

πŸ“‘ Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). lonely runner conjecture. Retrieved May 3, 2026, from https://4ort.xyz/entity/lonely-runner-conjecture
MLA “lonely runner conjecture.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/lonely-runner-conjecture.
BibTeX @misc{4ortxyz_lonely-runner-conjecture_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{lonely runner conjecture}}, year = {2026}, url = {https://4ort.xyz/entity/lonely-runner-conjecture}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): lonely runner conjecture — https://4ort.xyz/entity/lonely-runner-conjecture (retrieved 2026-05-03)

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