Archimedes' cattle problem

a problem in number theory with a very large solution, attributed to Archimedes
Thing mathematical_problem Q2030594

Facts

14 properties
Language of work or name
Ancient Greek[5]
Publication date
300 BC[6]
Location
Syracuse[4]
Copyright status
public domain[13]
Defining formula
\begin{aligned}W&=\frac56B+Y\\B&=\frac9{20}D+Y\\D&=\frac{13}{42}W+Y\\w&=\frac7{12}(B+b)\\b&=\frac9{20}(D+d)\\d&=\frac{11}{30}(Y+y)\\y&=\frac {13}{42}(W+w)\end{aligned}[11]
First line
Πληθὺν Ἠελίοιο βοῶν, ὦ ξεῖνε, μέτρησον[10]
Form of creative work
poem[14]
Location of creation
Syracuse[7]
Maintained by WikiProject
WikiProject Mathematics[12]
Title
Πρόβλημα βοεικόν[8]
🏷️ Also known as
en Archimedes's cattle problem en Archimedes' cattle problem ar مشكلة ماشية أرخميدس de Problema Bovinum de Rinderproblem des Archimedes el Πρόβλημα Βοεικόν es problema del ganado fi Helioksen karjan lukumäärä fr Problème des bœufs d'Archimède fr problème des bœufs d'Hélios he בעיית השוורים של ארכימדס he בעיית הבקר של ארכימדס he בעיית השוורים של אל השמש he בעיית שורי השמש של ארכימדס it Archimedes's cattle problem it Problema del bestiame di Archimede ja アルキメデスの問題 ja アルキメデスの牛の問題 ja 牛の問題 nl Getal van de ossen
🔖 Identifiers · 7
VIAF cluster ID
190451517
Image (Wikimedia Commons)
Archimedes cattle problem.svg ↗
Encyclopædia Britannica Online ID
topic/Cattle-Problem
Freebase ID
/m/025sw5t
Pinakes work ID
18602
🔗 Connections
Addressee 1
Author 1
Copyright status 1
Created notable works 1
Creator 1
Form of creative work 1
Instance of 1
Language of work or name 1
Location 1
Location of creation 1
Maintained by WikiProject 1
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Summary

Archimedes' cattle problem is a mathematical problem[1].

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.
  13. [14] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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BibTeX @misc{4ortxyz_archimedes-cattle-problem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Archimedes' cattle problem}}, year = {2026}, url = {https://4ort.xyz/entity/archimedes-cattle-problem}, note = {Accessed: 2026-11-01}}
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