Bertrand's theorem

en

WikiRank.net
ver. 1.6.2

Bertrand's theorem

Quality:

Bertrand's theorem - theorem that, among central-force potentials with bound orbits, there are only 2 types of central-force scalar potentials such that all bound orbits are closed: inverse square and radial harmonic. Article “Bertrand's theorem” in English Wikipedia has 19.8 points for quality (as of July 1, 2025). The article contains 2 references and 5 sections.

This article has the best quality in Ukrainian Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Bertrand's theorem”, its content was written by 47 registered users of English Wikipedia and edited by 169 registered Wikipedia users in all languages.

The article is cited 18 times in English Wikipedia and cited 279 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #104224 in November 2014
  • Global: #74227 in January 2010

The highest popularity rank from 2008:

  • Local (English): #200235 in November 2014
  • Global: #302212 in November 2014

There are 18 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
1Ukrainian (uk)
Задача Бертрана
28.1166
2Hebrew (he)
משפט ברטראן
27.0657
3Chinese (zh)
伯特蘭定理
22.8286
4Russian (ru)
Задача Бертрана
22.3729
5Belarusian (be)
Задача Бертрана
20.3824
6English (en)
Bertrand's theorem
19.8353
7Korean (ko)
베르트랑의 정리
16.8246
8Japanese (ja)
ベルトランの定理
15.2666
9Catalan (ca)
Teorema de Bertrand
15.2487
10Slovenian (sl)
Bertrandov izrek
14.2605
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 "Bertrand's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bertrand's theorem
226 194
2Russian (ru)
Задача Бертрана
42 188
3French (fr)
Théorème de Bertrand
25 725
4Chinese (zh)
伯特蘭定理
19 521
5Hebrew (he)
משפט ברטראן
11 024
6Spanish (es)
Teorema de Bertrand
9 383
7Portuguese (pt)
Teorema de Bertrand
8 634
8Italian (it)
Teorema di Bertrand
7 530
9Romanian (ro)
Teorema lui Bertrand
6 606
10Japanese (ja)
ベルトランの定理
6 296
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 "Bertrand's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bertrand's theorem
1 070
2Chinese (zh)
伯特蘭定理
121
3Japanese (ja)
ベルトランの定理
105
4French (fr)
Théorème de Bertrand
91
5Spanish (es)
Teorema de Bertrand
75
6Italian (it)
Teorema di Bertrand
67
7Russian (ru)
Задача Бертрана
55
8Korean (ko)
베르트랑의 정리
45
9Portuguese (pt)
Teorema de Bertrand
32
10Romanian (ro)
Teorema lui Bertrand
22
More...

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

The highest AI

Language versions of the article "Bertrand's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bertrand's theorem
47
2French (fr)
Théorème de Bertrand
33
3Russian (ru)
Задача Бертрана
20
4Hebrew (he)
משפט ברטראן
15
5Italian (it)
Teorema di Bertrand
8
6Chinese (zh)
伯特蘭定理
8
7Lithuanian (lt)
Bertrano teorema
7
8Portuguese (pt)
Teorema de Bertrand
5
9Arabic (ar)
نظرية برتراند
4
10Belarusian (be)
Задача Бертрана
4
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 "Bertrand's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
نظرية برتراند
0
2Belarusian (be)
Задача Бертрана
0
3Catalan (ca)
Teorema de Bertrand
0
4English (en)
Bertrand's theorem
0
5Spanish (es)
Teorema de Bertrand
0
6French (fr)
Théorème de Bertrand
0
7Hebrew (he)
משפט ברטראן
0
8Italian (it)
Teorema di Bertrand
0
9Japanese (ja)
ベルトランの定理
0
10Korean (ko)
베르트랑의 정리
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 "Bertrand's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Russian (ru)
Задача Бертрана
99
2Belarusian (be)
Задача Бертрана
81
3English (en)
Bertrand's theorem
18
4French (fr)
Théorème de Bertrand
16
5Romanian (ro)
Teorema lui Bertrand
12
6Chinese (zh)
伯特蘭定理
8
7Spanish (es)
Teorema de Bertrand
7
8Hebrew (he)
משפט ברטראן
7
9Japanese (ja)
ベルトランの定理
6
10Uzbek (uz)
Bertrand teoremasi
6
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
نظرية برتراند
beBelarusian
Задача Бертрана
caCatalan
Teorema de Bertrand
enEnglish
Bertrand's theorem
esSpanish
Teorema de Bertrand
frFrench
Théorème de Bertrand
heHebrew
משפט ברטראן
itItalian
Teorema di Bertrand
jaJapanese
ベルトランの定理
koKorean
베르트랑의 정리
ltLithuanian
Bertrano teorema
ptPortuguese
Teorema de Bertrand
roRomanian
Teorema lui Bertrand
ruRussian
Задача Бертрана
slSlovenian
Bertrandov izrek
ukUkrainian
Задача Бертрана
uzUzbek
Bertrand teoremasi
zhChinese
伯特蘭定理

Popularity rank trends

Best Rank English:
#200235
11.2014
Global:
#302212
11.2014

AI rank trends

Best Rank English:
#104224
11.2014
Global:
#74227
01.2010

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Bertrand's theorem from Wikipedia articles about Kepler problem, Harmonic oscillator, Central force, Keplers laws of planetary motion and Quantum harmonic oscillator. Whereas reading the article about Bertrand's theorem people most often go to Wikipedia articles on Orbit, Joseph Louis François Bertrand, Simple harmonic motion, Binet equation and Central force.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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