Chaitin's constant

number that represents the probability that a randomly constructed program will halt
Thing transcendental_number Q735775
Press Enter · cited answer in seconds

Chaitin's constant

Summary

Chaitin's constant is a transcendental number[1]. It draws 281 Wikipedia views per month (transcendental_number category, ranking #3 of 12).[2]

Key Facts

  • Chaitin's constant is credited with the discovery of Gregory Chaitin[3].
  • Chaitin's constant's instance of is recorded as transcendental number[4].
  • Chaitin's constant's instance of is recorded as mathematical constant[5].
  • Chaitin's constant's instance of is recorded as uncomputable number[6].
  • Chaitin's constant's instance of is recorded as irrational number[7].
  • Chaitin's constant's instance of is recorded as normal number[8].
  • Chaitin's constant's instance of is recorded as definable real number[9].
  • Gregory Chaitin is named after Chaitin's constant[10].
  • Chaitin's constant's Freebase ID is recorded as /m/01vf2[11].
  • Chaitin's constant's defining formula is recorded as \Omega_F=\sum_{p\in P_F}2^{-|p|}[12].
  • Chaitin's constant's MathWorld ID is recorded as ChaitinsConstant[13].
  • Chaitin's constant's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Chaitin's constant's Microsoft Academic ID is recorded as 63516116[15].

Body

Works and Contributions

Chaitin's constant is credited with the discovery of Gregory Chaitin[3].

Why It Matters

Chaitin's constant draws 281 Wikipedia views per month (transcendental_number category, ranking #3 of 12).[2] It has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[16] It is known by 10 alternative names across languages and contexts.[17]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [6] . wikidata.org.
  4. [7] . wikidata.org.
  5. [8] . wikidata.org.
  6. [9] . wikidata.org.
  7. [3] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Freebase Data Dumps. 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). Chaitin's constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/chaitin-s-constant
MLA “Chaitin's constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/chaitin-s-constant.
BibTeX @misc{4ortxyz_chaitin-s-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Chaitin's constant}}, year = {2026}, url = {https://4ort.xyz/entity/chaitin-s-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Chaitin's constant — https://4ort.xyz/entity/chaitin-s-constant (retrieved 2026-05-03)

Canonical URL: https://4ort.xyz/entity/chaitin-s-constant · Last refreshed: