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Farey sequence

increasing sequence of reduced fractions between 0 and 1 whose denominators do not exceed a given positive integer
Thing number_sequence Q1396592
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Farey sequence

Summary

Farey sequence is a number sequence[1]. It draws 174 Wikipedia views per month (number_sequence category, ranking #1 of 2).[2]

Key Facts

  • Farey sequence's instance of is recorded as number sequence[3].
  • Farey sequence's instance of is recorded as mathematical concept[4].
  • John Farey is named after Farey sequence[5].
  • Farey sequence's NDL Authority ID is recorded as 00562080[6].
  • Farey sequence's Commons category is recorded as Farey sequence[7].
  • Farey sequence's Freebase ID is recorded as /m/01z4xb[8].
  • Farey sequence's MathWorld ID is recorded as FareySequence[9].
  • Farey sequence's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Farey sequence's Microsoft Academic ID is recorded as 93157843[11].
  • Farey sequence's ProofWiki ID is recorded as Definition:Farey_Sequence[12].
  • Farey sequence's OpenAlex ID is recorded as C93157843[13].
  • Farey sequence's GitLab topic ID is recorded as Farey+Sequence[14].

Why It Matters

Farey sequence draws 174 Wikipedia views per month (number_sequence category, ranking #1 of 2).[2] It has Wikipedia articles in 16 language editions, a strong signal of global cultural recognition.[15] It is known by 15 alternative names across languages and contexts.[16]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

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

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [15] ↑ . Wikidata sitelinks. wikidata.org.
  3. [16] ↑ . Wikidata aliases. wikidata.org.

📑 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). Farey sequence. Retrieved May 3, 2026, from https://4ort.xyz/entity/farey-sequence
MLA “Farey sequence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/farey-sequence.
BibTeX @misc{4ortxyz_farey-sequence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Farey sequence}}, year = {2026}, url = {https://4ort.xyz/entity/farey-sequence}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Farey sequence — https://4ort.xyz/entity/farey-sequence (retrieved 2026-05-03)

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