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Pell's equation

mathematical equation, specifically a kind of Diophantine equation
Thing diophantine_equation Q853067
Pell's equation
David Eppstein · Public Domain · Wikimedia
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Pell's equation

Summary

Pell's equation is a Diophantine equation[1]. It draws 253 Wikipedia views per month (diophantine_equation category, ranking #1 of 4).[2]

Key Facts

  • Pell's equation's image is recorded as Pell's equation.svg[3].
  • Pell's equation's instance of is recorded as Diophantine equation[4].
  • John Pell is named after Pell's equation[5].
  • Pell's equation's Library of Congress authority ID is recorded as sh2002004493[6].
  • Pell's equation's Bibliothèque nationale de France ID is recorded as 150987299[7].
  • Pell's equation's Commons category is recorded as Pell's equation[8].
  • Pell's equation's BNCF Thesaurus ID is recorded as 20871[9].
  • +1657-00-00T00:00:00Z marks the founding of Pell's equation[10].
  • Pell's equation's Freebase ID is recorded as /m/066zb[11].
  • Pell's equation's Encyclopædia Britannica Online ID is recorded as topic/Pell-equation[12].
  • Pell's equation's FAST ID is recorded as 1056664[13].
  • Pell's equation's defining formula is recorded as x^2-ny^2=1[14].
  • Pell's equation's MathWorld ID is recorded as PellEquation[15].
  • Pell's equation's Great Russian Encyclopedia Online ID is recorded as 2709723[16].
  • Pell's equation's Quora topic ID is recorded as Pell-Equation[17].
  • Pell's equation's maintained by WikiProject is recorded as WikiProject Mathematics[18].
  • Pell's equation's Microsoft Academic ID is recorded as 114403751[19].
  • Pell's equation's Brilliant Wiki ID is recorded as quadratic-diophantine-equations-pells-equation[20].
  • Pell's equation's ProofWiki ID is recorded as Pell's_Equation[21].
  • Pell's equation's National Library of Israel J9U ID is recorded as 987007539856505171[22].
  • Pell's equation's Great Russian Encyclopedia portal ID is recorded as uravnenie-pellia-ef05ad[23].
  • Pell's equation's Yale LUX ID is recorded as concept/c5f56c32-3f06-4682-adee-5b87db3a16a1[24].

Why It Matters

Pell's equation draws 253 Wikipedia views per month (diophantine_equation category, ranking #1 of 4).[2] It has Wikipedia articles in 22 language editions, a strong signal of global cultural recognition.[25] It is known by 6 alternative names across languages and contexts.[26]

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] ↑ . wikidata.org.
  7. [9] ↑ . Nuovo soggettario. wikidata.org.
  8. [10] ↑ . Retrieved . wikidata.org.
  9. [11] ↑ . Freebase Data Dumps. wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.
  12. [14] ↑ . wikidata.org.
  13. [15] ↑ . wikidata.org.
  14. [16] ↑ . wikidata.org.
  15. [17] ↑ . Quora. wikidata.org.
  16. [18] ↑ . wikidata.org.
  17. [19] ↑ . wikidata.org.
  18. [20] ↑ . wikidata.org.
  19. [21] ↑ . wikidata.org.
  20. [22] ↑ . National Library of Israel. wikidata.org.
  21. [23] ↑ . wikidata.org.
  22. [24] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] ↑ . Wikidata sitelinks. wikidata.org.
  3. [26] ↑ . 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). Pell's equation. Retrieved May 3, 2026, from https://4ort.xyz/entity/pell-s-equation
MLA “Pell's equation.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/pell-s-equation.
BibTeX @misc{4ortxyz_pell-s-equation_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Pell's equation}}, year = {2026}, url = {https://4ort.xyz/entity/pell-s-equation}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Pell's equation — https://4ort.xyz/entity/pell-s-equation (retrieved 2026-05-03)

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