Bernoulli number

en

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Bernoulli number

Quality:

Bernoulli number - rational number sequence ?ₖ such that (?+1)∑?ᵐ=(ᵐ⁺¹₀)?₀?ᵐ⁺¹−(ᵐ⁺¹₁)?₁?ᵐ+(ᵐ⁺¹₂)?₂?ᵐ¯¹−(ᵐ⁺¹₃)?₃?ᵐ¯²+⋯. Article “Bernoulli number” in English Wikipedia has 66.8 points for quality (as of July 1, 2025). The article contains 61 references and 45 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Bernoulli number” was edited by 4 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article “Bernoulli number”, its content was written by 276 registered users of English Wikipedia and edited by 968 registered Wikipedia users in all languages.

The article is cited 297 times in English Wikipedia and cited 1757 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #347 in January 2002
  • Global: #412 in January 2002

The highest popularity rank from 2008:

  • Local (English): #2212 in May 2009
  • Global: #2086 in May 2009

There are 37 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Bernoulli number
66.8137
2Galician (gl)
Número de Bernoulli
42.7295
3French (fr)
Nombre de Bernoulli
40.9729
4Korean (ko)
베르누이 수
38.2523
5Arabic (ar)
عدد برنولي
31.4961
6Norwegian (no)
Bernoulli-tall
31.3413
7German (de)
Bernoulli-Zahl
30.0055
8Italian (it)
Numeri di Bernoulli
26.1765
9Chinese (zh)
伯努利数
22.9298
10Slovenian (sl)
Bernoullijevo število
22.8074
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Bernoulli number" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bernoulli number
2 396 489
2German (de)
Bernoulli-Zahl
584 775
3Japanese (ja)
ベルヌーイ数
447 324
4French (fr)
Nombre de Bernoulli
270 283
5Spanish (es)
Número de Bernoulli
258 534
6Russian (ru)
Числа Бернулли
243 778
7Polish (pl)
Liczby Bernoulliego
137 922
8Italian (it)
Numeri di Bernoulli
126 779
9Chinese (zh)
伯努利数
100 074
10Portuguese (pt)
Números de Bernoulli
68 824
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Bernoulli number" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bernoulli number
10 822
2Japanese (ja)
ベルヌーイ数
1 767
3French (fr)
Nombre de Bernoulli
1 244
4German (de)
Bernoulli-Zahl
1 058
5Russian (ru)
Числа Бернулли
838
6Italian (it)
Numeri di Bernoulli
546
7Chinese (zh)
伯努利数
530
8Spanish (es)
Número de Bernoulli
441
9Korean (ko)
베르누이 수
370
10Polish (pl)
Liczby Bernoulliego
254
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Bernoulli number" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bernoulli number
276
2German (de)
Bernoulli-Zahl
110
3French (fr)
Nombre de Bernoulli
79
4Italian (it)
Numeri di Bernoulli
60
5Russian (ru)
Числа Бернулли
49
6Japanese (ja)
ベルヌーイ数
44
7Dutch (nl)
Bernoulligetal
41
8Polish (pl)
Liczby Bernoulliego
33
9Spanish (es)
Número de Bernoulli
32
10Hebrew (he)
מספרי ברנולי
26
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Bernoulli number" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Bernoulli number
4
2Japanese (ja)
ベルヌーイ数
1
3Polish (pl)
Liczby Bernoulliego
1
4Arabic (ar)
عدد برنولي
0
5Azerbaijani (az)
Bernulli ədədləri
0
6Bulgarian (bg)
Числа на Бернули
0
7Catalan (ca)
Nombres de Bernoulli
0
8Czech (cs)
Bernoulliho číslo
0
9German (de)
Bernoulli-Zahl
0
10Greek (el)
Αριθμός Μπερνούλι
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Bernoulli number" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Bernoulli number
297
2Arabic (ar)
عدد برنولي
170
3Polish (pl)
Liczby Bernoulliego
113
4German (de)
Bernoulli-Zahl
108
5French (fr)
Nombre de Bernoulli
107
6Persian (fa)
عدد برنولی
104
7Japanese (ja)
ベルヌーイ数
90
8Korean (ko)
베르누이 수
78
9Spanish (es)
Número de Bernoulli
61
10Russian (ru)
Числа Бернулли
55
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
عدد برنولي
azAzerbaijani
Bernulli ədədləri
bgBulgarian
Числа на Бернули
caCatalan
Nombres de Bernoulli
csCzech
Bernoulliho číslo
deGerman
Bernoulli-Zahl
elGreek
Αριθμός Μπερνούλι
enEnglish
Bernoulli number
esSpanish
Número de Bernoulli
euBasque
Bernoulliren zenbaki
faPersian
عدد برنولی
fiFinnish
Bernoullin luku
frFrench
Nombre de Bernoulli
glGalician
Número de Bernoulli
heHebrew
מספרי ברנולי
hiHindi
बर्नूली संख्या
huHungarian
Bernoulli-számok
idIndonesian
Bilangan Bernoulli
itItalian
Numeri di Bernoulli
jaJapanese
ベルヌーイ数
kkKazakh
Бернулли сандары
koKorean
베르누이 수
nlDutch
Bernoulligetal
noNorwegian
Bernoulli-tall
plPolish
Liczby Bernoulliego
ptPortuguese
Números de Bernoulli
ruRussian
Числа Бернулли
simpleSimple English
Bernoulli number
slSlovenian
Bernoullijevo število
srSerbian
Бернулијеви бројеви
svSwedish
Bernoullital
thThai
จำนวนแบร์นูลลี
trTurkish
Bernoulli sayısı
ukUkrainian
Числа Бернуллі
urUrdu
برنولی عدد
uzUzbek
Bernoulli sonlari
zhChinese
伯努利数

Popularity rank trends

Best Rank English:
#2212
05.2009
Global:
#2086
05.2009

AI rank trends

Best Rank English:
#347
01.2002
Global:
#412
01.2002

Local popularity rank history

Global popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bernoulli number from Wikipedia articles about Ada Lovelace, Faulhabers formula, Riemann zeta function, Taylor series and Srinivasa Ramanujan. Whereas reading the article about Bernoulli number people most often go to Wikipedia articles on Faulhabers formula, Bernoulli polynomials, Jacob Bernoulli, Riemann zeta function and Takakazu Seki.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information