Porter's constant

constant term in the average number of iterations of Euclid’s algorithm for fixed 𝑛 and averaged over all choices of relatively prime integers π‘š<𝑛
Thing mathematical_constant Q30692563
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Porter's constant

Summary

Porter's constant is a mathematical constant[1]. It draws 5 Wikipedia views per month (mathematical_constant category, ranking #37 of 48).[2]

Key Facts

  • Porter's constant's instance of is recorded as mathematical constant[3].
  • Porter's constant's instance of is recorded as positive real number[4].
  • Porter's constant's numeric value is recorded as {'amount': '+1.4670780794'}[5].
  • Porter's constant's defining formula is recorded as \frac{6 \ln2}{\pi^2}\left(3\ln2+4 \gamma-\frac{24}{\pi^2}\zeta'(2)-2\right)-\frac12[6].
  • Porter's constant's Google Knowledge Graph ID is recorded as /g/11c719b59k[7].
  • Porter's constant's MathWorld ID is recorded as PortersConstant[8].
  • Porter's constant's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Porter's constant's in defining formula is recorded as \gamma[10].
  • Porter's constant's in defining formula is recorded as \zeta[11].
  • Porter's constant's in defining formula is recorded as '[12].
  • Porter's constant's in defining formula is recorded as \ln[13].
  • Porter's constant's in defining formula is recorded as \pi[14].

Why It Matters

Porter's constant draws 5 Wikipedia views per month (mathematical_constant category, ranking #37 of 48).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[15]

References

Programmatic citations β€” 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.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

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

πŸ“‘ 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). Porter's constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/porter-s-constant
MLA “Porter's constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/porter-s-constant.
BibTeX @misc{4ortxyz_porter-s-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Porter's constant}}, year = {2026}, url = {https://4ort.xyz/entity/porter-s-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Porter's constant — https://4ort.xyz/entity/porter-s-constant (retrieved 2026-05-03)

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