Gelfond's constant

e to the power of π
Thing transcendental_number Q306375
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Gelfond's constant

Summary

Gelfond's constant is a transcendental number[1]. It draws 117 Wikipedia views per month (transcendental_number category, ranking #4 of 12).[2]

Key Facts

  • Gelfond's constant's instance of is recorded as transcendental number[3].
  • Gelfond's constant's instance of is recorded as irrational number[4].
  • Gelfond's constant's instance of is recorded as mathematical constant[5].
  • Alexander Gelfond is named after Gelfond's constant[6].
  • Gelfond's constant's Freebase ID is recorded as /m/06bzf9[7].
  • Gelfond's constant's OEIS ID is recorded as A039661[8].
  • Gelfond's constant's numeric value is recorded as {'amount': '+23.1406926327792690057290863679485473802661062426002119934450464095243423506904527835169719970675492'}[9].
  • Gelfond's constant's described by source is recorded as Hilbert's seventh problem[10].
  • Gelfond's constant's defining formula is recorded as e^\pi = (e^{\pi i})^{-i} = (-1)^{-i}[11].
  • Gelfond's constant's MathWorld ID is recorded as GelfondsConstant[12].
  • Gelfond's constant's Quora topic ID is recorded as Gelfonds-Constant[13].
  • Gelfond's constant's maintained by WikiProject is recorded as WikiProject Mathematics[14].
  • Gelfond's constant's Microsoft Academic ID is recorded as 167257299[15].
  • Gelfond's constant's in defining formula is recorded as e^\pi[16].
  • Gelfond's constant's in defining formula is recorded as e[17].
  • Gelfond's constant's in defining formula is recorded as \pi[18].
  • Gelfond's constant's in defining formula is recorded as i[19].

Why It Matters

Gelfond's constant draws 117 Wikipedia views per month (transcendental_number category, ranking #4 of 12).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[20] It is known by 11 alternative names across languages and contexts.[21]

References

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

Direct Wikidata claims

  1. [3] . oeis.org. oeis.org. Provenance: 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] . On-Line Encyclopedia of Integer Sequences. wikidata.org.
  8. [10] . Retrieved . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . Quora. wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . 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). Gelfond's constant. Retrieved May 3, 2026, from https://4ort.xyz/entity/gelfond-s-constant
MLA “Gelfond's constant.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/gelfond-s-constant.
BibTeX @misc{4ortxyz_gelfond-s-constant_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gelfond's constant}}, year = {2026}, url = {https://4ort.xyz/entity/gelfond-s-constant}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gelfond's constant — https://4ort.xyz/entity/gelfond-s-constant (retrieved 2026-05-03)

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