Sierpiński's constant

mathematical constant related to the sum of squares function
Thing mathematical_constant Q461009
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Sierpiński's constant

Summary

Sierpiński's constant is a mathematical constant[1]. It draws 11 Wikipedia views per month (mathematical_constant category, ranking #36 of 48).[2]

Key Facts

  • Sierpiński's constant's instance of is recorded as mathematical constant[3].
  • Sierpiński's constant's instance of is recorded as real number[4].
  • Wacław Sierpiński is named after Sierpiński's constant[5].
  • Sierpiński's constant's quantity symbol is recorded as K[6].
  • Sierpiński's constant's Freebase ID is recorded as /m/05yctm[7].
  • Sierpiński's constant's numeric value is recorded as {'amount': '+2.584981759579253217065893587383'}[8].
  • Sierpiński's constant's defining formula is recorded as K=\lim_{n \to \infty}\left[\sum_{k=1}^{n}{r_2(k)\over k} - \pi\ln n\right][9].
  • Sierpiński's constant's MathWorld ID is recorded as SierpinskiConstant[10].
  • Sierpiński's constant's maintained by WikiProject is recorded as WikiProject Mathematics[11].

Why It Matters

Sierpiński's constant draws 11 Wikipedia views per month (mathematical_constant category, ranking #36 of 48).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[12] It is known by 4 alternative names across languages and contexts.[13]

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] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.
  3. [13] . 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). Sierpiński's constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/sierpi-ski-s-constant
MLA “Sierpiński's constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/sierpi-ski-s-constant.
BibTeX @misc{4ortxyz_sierpi-ski-s-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Sierpiński's constant}}, year = {2026}, url = {https://4ort.xyz/entity/sierpi-ski-s-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Sierpiński's constant — https://4ort.xyz/entity/sierpi-ski-s-constant (retrieved 2026-05-03)

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