Kummer's theorem

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Kummer's theorem

Quality:

Kummer's theorem - Gives the p-adic valuation of a binomial coefficient. Article “Kummer's theorem” in English Wikipedia has 11.1 points for quality (as of July 1, 2025). The article contains 1 references and 5 sections.

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

Since the creation of article “Kummer's theorem”, its content was written by 22 registered users of English Wikipedia and edited by 34 registered Wikipedia users in all languages.

The article is cited 8 times in English Wikipedia and cited 20 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #101752 in November 2011
  • Global: #322341 in November 2011

The highest popularity rank from 2008:

  • Local (English): #624618 in March 2025
  • Global: #965422 in March 2025

There are 5 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
1Chinese (zh)
庫默爾定理
16.4283
2English (en)
Kummer's theorem
11.1343
3Galician (gl)
Teorema de Kummer
10.4022
4French (fr)
Théorème de Kummer (coefficients binomiaux)
10.1257
5Italian (it)
Teorema di Kummer
3.9523
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 "Kummer's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Kummer's theorem
94 536
2Chinese (zh)
庫默爾定理
3 142
3French (fr)
Théorème de Kummer (coefficients binomiaux)
1 483
4Italian (it)
Teorema di Kummer
1 232
5Galician (gl)
Teorema de Kummer
102
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 "Kummer's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Kummer's theorem
1 032
2Chinese (zh)
庫默爾定理
60
3French (fr)
Théorème de Kummer (coefficients binomiaux)
34
4Italian (it)
Teorema di Kummer
18
5Galician (gl)
Teorema de Kummer
14
More...

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

The highest AI

Language versions of the article "Kummer's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Kummer's theorem
22
2Chinese (zh)
庫默爾定理
6
3Italian (it)
Teorema di Kummer
3
4French (fr)
Théorème de Kummer (coefficients binomiaux)
2
5Galician (gl)
Teorema de Kummer
1
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 "Kummer's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Kummer's theorem
0
2French (fr)
Théorème de Kummer (coefficients binomiaux)
0
3Galician (gl)
Teorema de Kummer
0
4Italian (it)
Teorema di Kummer
0
5Chinese (zh)
庫默爾定理
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 "Kummer's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Kummer's theorem
8
2French (fr)
Théorème de Kummer (coefficients binomiaux)
5
3Galician (gl)
Teorema de Kummer
3
4Italian (it)
Teorema di Kummer
2
5Chinese (zh)
庫默爾定理
2
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
enEnglish
Kummer's theorem
frFrench
Théorème de Kummer (coefficients binomiaux)
glGalician
Teorema de Kummer
itItalian
Teorema di Kummer
zhChinese
庫默爾定理

Popularity rank trends

Best Rank English:
#624618
03.2025
Global:
#965422
03.2025

AI rank trends

Best Rank English:
#101752
11.2011
Global:
#322341
11.2011

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Kummer's theorem from Wikipedia articles about Legendres formula, Lucas theorem, Binomial coefficient, Multinomial theorem and Sylow theorems. Whereas reading the article about Kummer's theorem people most often go to Wikipedia articles on Lucas theorem, Legendres formula, P-adic valuation, Ernst Kummer and Carry.

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