Bernoulli number

rational number sequence 𝐵ₖ such that (𝑚+1)∑𝑛ᵐ=(ᵐ⁺¹₀)𝐵₀𝑛ᵐ⁺¹−(ᵐ⁺¹₁)𝐵₁𝑛ᵐ+(ᵐ⁺¹₂)𝐵₂𝑛ᵐ¯¹−(ᵐ⁺¹₃)𝐵₃𝑛ᵐ¯²+⋯
Thing sequence_of_real_numbers Q694114
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Bernoulli number

Summary

Bernoulli number is a sequence of real numbers[1]. It draws 1,407 Wikipedia views per month (sequence_of_real_numbers category, ranking #1 of 3).[2]

Key Facts

  • Bernoulli number is credited with the discovery of Jacob Bernoulli[3].
  • Bernoulli number is credited with the discovery of Takakazu Seki[4].
  • Bernoulli number's instance of is recorded as sequence of real numbers[5].
  • Bernoulli number's instance of is recorded as mathematical concept[6].
  • Jacob Bernoulli is named after Bernoulli number[7].
  • Bernoulli number is a type of rational number[8].
  • Bernoulli number's Commons category is recorded as Bernoulli numbers[9].
  • Bernoulli number's time of discovery or invention is recorded as 1710[10].
  • Bernoulli number's described by source is recorded as ISO 80000-2:2019 Quantities and units — Part 2: Mathematics[11].
  • Bernoulli number's Stack Exchange tag is recorded as https://stackoverflow.com/tags/bernoulli-numbers[12].
  • Bernoulli number's maintained by WikiProject is recorded as WikiProject Mathematics[13].

Body

Definition and Type

Recorded instance of include sequence of real numbers[5] and mathematical concept[6]. Bernoulli number is a type of rational number[8].

Origins

Jacob Bernoulli is named after Bernoulli number[7].

Why It Matters

Bernoulli number draws 1,407 Wikipedia views per month (sequence_of_real_numbers category, ranking #1 of 3).[2] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[14] It is known by 30 alternative names across languages and contexts.[15]

References

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

Direct Wikidata claims

  1. [5] . wikidata.org.
  2. [6] . wikidata.org.
  3. [3] . wikidata.org.
  4. [4] . 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.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). Bernoulli number. Retrieved May 3, 2026, from https://4ort.xyz/entity/bernoulli-number
MLA “Bernoulli number.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bernoulli-number.
BibTeX @misc{4ortxyz_bernoulli-number_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bernoulli number}}, year = {2026}, url = {https://4ort.xyz/entity/bernoulli-number}, note = {Accessed: 2026-05-03}}
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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 7d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Discoverer or inventor Jacob Bernoulli, Takakazu Seki
    Instance of sequence of real numbers, mathematical concept
    Subclass of
    Maintained by wikiproject WikiProject Mathematics
    + 7 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007283266005171, mv to monolingual text names on J9U statements"
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