Landau–Ramanujan constant

constant in number theory
Thing mathematical_constant Q2641368
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Landau–Ramanujan constant

Summary

Landau–Ramanujan constant is a mathematical constant[1]. It draws 72 Wikipedia views per month (mathematical_constant category, ranking #17 of 48).[2]

Key Facts

  • Landau–Ramanujan constant's instance of is recorded as mathematical constant[3].
  • Landau–Ramanujan constant's instance of is recorded as real number[4].
  • Landau–Ramanujan constant's instance of is recorded as mathematical concept[5].
  • Edmund Landau is named after Landau–Ramanujan constant[6].
  • Srinivasa Ramanujan is named after Landau–Ramanujan constant[7].
  • Landau–Ramanujan constant's Freebase ID is recorded as /m/02xgjt[8].
  • Landau–Ramanujan constant's OEIS ID is recorded as A064533[9].
  • Landau–Ramanujan constant's numeric value is recorded as {'amount': '+0.7642236535892206629906987312500923281167905413934095147216866737496146416587328588384015050131312337219372691207925926341874'}[10].
  • Landau–Ramanujan constant's defining formula is recorded as \frac1\sqrt2\quad\prod_{p\equiv3\bmod4}\quad\left(1-\frac1{p^2}\right)^{-1/2}=\frac\pi4\quad\prod_{p\equiv1\bmod4}\quad\left(1-\frac1{p^2}\right)^{1/2}[11].
  • Landau–Ramanujan constant's MathWorld ID is recorded as Landau-RamanujanConstant[12].
  • Landau–Ramanujan constant's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Landau–Ramanujan constant's Microsoft Academic ID is recorded as 90460290[14].
  • Landau–Ramanujan constant's ProofWiki ID is recorded as Definition:Landau-Ramanujan_Constant[15].

Why It Matters

Landau–Ramanujan constant draws 72 Wikipedia views per month (mathematical_constant category, ranking #17 of 48).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[16] It is known by 5 alternative names across languages and contexts.[17]

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] . Freebase Data Dumps. 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.
  3. [17] . 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). Landau–Ramanujan constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/landau-ramanujan-constant
MLA “Landau–Ramanujan constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/landau-ramanujan-constant.
BibTeX @misc{4ortxyz_landau-ramanujan-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Landau–Ramanujan constant}}, year = {2026}, url = {https://4ort.xyz/entity/landau-ramanujan-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Landau–Ramanujan constant — https://4ort.xyz/entity/landau-ramanujan-constant (retrieved 2026-05-03)

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