Bailey–Borwein–Plouffe formula

formula for calculating π
Place approximation_algorithm Q803807
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Bailey–Borwein–Plouffe formula

Summary

Bailey–Borwein–Plouffe formula is an approximation algorithm[1]. It draws 127 Wikipedia views per month (approximation_algorithm category, ranking #3 of 9).[2]

Key Facts

  • Bailey–Borwein–Plouffe formula's instance of is recorded as approximation algorithm[3].
  • Bailey–Borwein–Plouffe formula's instance of is recorded as mathematical expression[4].
  • Bailey–Borwein–Plouffe formula's instance of is recorded as series[5].
  • Bailey–Borwein–Plouffe formula's instance of is recorded as spigot algorithm[6].
  • David H. Bailey is named after Bailey–Borwein–Plouffe formula[7].
  • Peter Borwein is named after Bailey–Borwein–Plouffe formula[8].
  • Simon Plouffe is named after Bailey–Borwein–Plouffe formula[9].
  • Bailey–Borwein–Plouffe formula's Freebase ID is recorded as /m/03045c[10].
  • Bailey–Borwein–Plouffe formula's defining formula is recorded as \pi=\sum_{k=0}^\infty\left\lfloor\frac1{16^k}\left(\frac4{8k+1}-\frac2{8k+4}-\frac1{8k+5}-\frac1{8k+6}\right)\right\rfloor[11].
  • Bailey–Borwein–Plouffe formula's MathWorld ID is recorded as BBPFormula[12].
  • Bailey–Borwein–Plouffe formula's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Bailey–Borwein–Plouffe formula's Microsoft Academic ID is recorded as 2779783559[14].
  • Bailey–Borwein–Plouffe formula's in defining formula is recorded as \pi[15].

Body

Designation and Status

Recorded instance of include approximation algorithm[3], mathematical expression[4], series[5], and spigot algorithm[6].

History and Context

Things named after include David H. Bailey[7], a mathematician[16], b. 1948[17], of United States[18], awarded the Gordon Bell Prize[19], specialised in experimental mathematics[20]; Peter Borwein[8], a mathematician[21], 1953–2020[22], of Canada[23], awarded the Chauvenet Prize[24], specialised in number theory[25]; and Simon Plouffe[9], a mathematician[26], b. 1956[27], of Canada[28], awarded the UQAM Recognition Award[29].

Why It Matters

Bailey–Borwein–Plouffe formula draws 127 Wikipedia views per month (approximation_algorithm category, ranking #3 of 9).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[30] It is known by 31 alternative names across languages and contexts.[31]

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] . wikidata.org.
  8. [10] . Freebase Data Dumps. wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.

Inline context (facts about related entities)

  1. [16] . Wikidata. wikidata.org. → on this site
  2. [17] . Wikidata. wikidata.org. → on this site
  3. [18] . Wikidata. wikidata.org. → on this site
  4. [19] . Wikidata. wikidata.org. → on this site
  5. [20] . Wikidata. wikidata.org. → on this site
  6. [21] . Wikidata. wikidata.org. → on this site
  7. [22] . Wikidata. wikidata.org. → on this site
  8. [23] . Wikidata. wikidata.org. → on this site
  9. [24] . Wikidata. wikidata.org. → on this site
  10. [25] . Wikidata. wikidata.org. → on this site
  11. [26] . Wikidata. wikidata.org. → on this site
  12. [27] . Wikidata. wikidata.org. → on this site
  13. [28] . Wikidata. wikidata.org. → on this site
  14. [29] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [30] . Wikidata sitelinks. wikidata.org.
  3. [31] . 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). Bailey–Borwein–Plouffe formula. Retrieved May 3, 2026, from https://4ort.xyz/entity/bailey-borwein-plouffe-formula
MLA “Bailey–Borwein–Plouffe formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bailey-borwein-plouffe-formula.
BibTeX @misc{4ortxyz_bailey-borwein-plouffe-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bailey–Borwein–Plouffe formula}}, year = {2026}, url = {https://4ort.xyz/entity/bailey-borwein-plouffe-formula}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bailey–Borwein–Plouffe formula — https://4ort.xyz/entity/bailey-borwein-plouffe-formula (retrieved 2026-05-03)

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