Brun's theorem

theorem that the sum of the reciprocals of the twin primes converges
Intangible theorem Q844612
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Brun's theorem

Summary

Brun's theorem is a theorem[1]. It draws 52 Wikipedia views per month (theorem category, ranking #236 of 1,306).[2]

Key Facts

  • Brun's theorem's instance of is recorded as theorem[3].
  • Viggo Brun is named after Brun's theorem[4].
  • Brun's theorem's part of is recorded as list of theorems[5].
  • Brun's theorem's Freebase ID is recorded as /m/0836t9[6].
  • Brun's theorem's Gran Enciclopèdia Catalana ID is recorded as 0012548[7].
  • Brun's theorem's proved by is recorded as Viggo Brun[8].
  • Brun's theorem's defining formula is recorded as \sum_{\sigma_0(p)=\sigma_0(p+2)=2}p^{-1}<\infty<sup id="cite-C12" class="cite-ref" title="Brun's theorem — defining formula (P2534): \sum_{\sigma_0(p)=\sigma_0(p+2)=2}p^{-1}<\infty">[9].
  • Brun's theorem's MathWorld ID is recorded as BrunsTheorem[10].
  • Brun's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[11].
  • Brun's theorem's Microsoft Academic ID is recorded as 176979003[12].
  • Brun's theorem's ProofWiki ID is recorded as Brun's_Theorem[13].
  • Brun's theorem's in defining formula is recorded as \sigma_0[14].
  • Brun's theorem's Gran Enciclopèdia Catalana ID is recorded as teorema-de-brun[15].

Why It Matters

Brun's theorem draws 52 Wikipedia views per month (theorem category, ranking #236 of 1,306).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[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] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [16] . Wikidata sitelinks. 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). Brun's theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/brun-s-theorem
MLA “Brun's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/brun-s-theorem.
BibTeX @misc{4ortxyz_brun-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Brun's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/brun-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Brun's theorem — https://4ort.xyz/entity/brun-s-theorem (retrieved 2026-05-03)

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