Lucas's theorem

en

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Lucas's theorem

Quality:

Lucas' theorem - theorem. Article “Lucas's theorem” in English Wikipedia has 20.4 points for quality (as of July 1, 2025). The article contains 6 references and 7 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 “Lucas's theorem”, its content was written by 34 registered users of English Wikipedia and edited by 91 registered Wikipedia users in all languages.

The article is cited 11 times in English Wikipedia and cited 48 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #118689 in May 2025
  • Global: #145336 in January 2012

The highest popularity rank from 2008:

  • Local (English): #197484 in February 2025
  • Global: #295671 in February 2025

There are 12 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)
卢卡斯定理
21.666
2English (en)
Lucas's theorem
20.4393
3Spanish (es)
Teorema de Lucas
19.2332
4Galician (gl)
Teorema de Lucas
16.451
5Portuguese (pt)
Teorema de Lucas
14.6641
6Italian (it)
Teorema di Lucas
13.6485
7Korean (ko)
뤼카의 정리
10.2641
8French (fr)
Théorème de Lucas
9.2947
9Ukrainian (uk)
Теорема Люка
3.326
10Russian (ru)
Теорема Люка
2.5801
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 "Lucas's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lucas's theorem
305 797
2Russian (ru)
Теорема Люка
31 482
3Korean (ko)
뤼카의 정리
20 332
4Chinese (zh)
卢卡斯定理
17 420
5Spanish (es)
Teorema de Lucas
17 194
6French (fr)
Théorème de Lucas
12 131
7Portuguese (pt)
Teorema de Lucas
5 945
8Italian (it)
Teorema di Lucas
2 436
9Arabic (ar)
مبرهنة لوكاس
1 882
10Kazakh (kk)
Люк теоремасы
992
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 "Lucas's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lucas's theorem
2 160
2Korean (ko)
뤼카의 정리
150
3Chinese (zh)
卢卡斯定理
132
4Russian (ru)
Теорема Люка
98
5French (fr)
Théorème de Lucas
81
6Portuguese (pt)
Teorema de Lucas
47
7Spanish (es)
Teorema de Lucas
43
8Italian (it)
Teorema di Lucas
20
9Arabic (ar)
مبرهنة لوكاس
9
10Galician (gl)
Teorema de Lucas
7
More...

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

The highest AI

Language versions of the article "Lucas's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lucas's theorem
34
2Russian (ru)
Теорема Люка
10
3Spanish (es)
Teorema de Lucas
9
4French (fr)
Théorème de Lucas
7
5Italian (it)
Teorema di Lucas
6
6Arabic (ar)
مبرهنة لوكاس
5
7Korean (ko)
뤼카의 정리
5
8Chinese (zh)
卢卡斯定理
5
9Kazakh (kk)
Люк теоремасы
3
10Portuguese (pt)
Teorema de Lucas
3
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 "Lucas's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة لوكاس
2
2English (en)
Lucas's theorem
0
3Spanish (es)
Teorema de Lucas
0
4French (fr)
Théorème de Lucas
0
5Galician (gl)
Teorema de Lucas
0
6Italian (it)
Teorema di Lucas
0
7Kazakh (kk)
Люк теоремасы
0
8Korean (ko)
뤼카의 정리
0
9Portuguese (pt)
Teorema de Lucas
0
10Russian (ru)
Теорема Люка
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 "Lucas's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lucas's theorem
11
2French (fr)
Théorème de Lucas
8
3Ukrainian (uk)
Теорема Люка
5
4Chinese (zh)
卢卡斯定理
5
5Korean (ko)
뤼카의 정리
4
6Russian (ru)
Теорема Люка
4
7Arabic (ar)
مبرهنة لوكاس
3
8Spanish (es)
Teorema de Lucas
3
9Galician (gl)
Teorema de Lucas
2
10Portuguese (pt)
Teorema de Lucas
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
arArabic
مبرهنة لوكاس
enEnglish
Lucas's theorem
esSpanish
Teorema de Lucas
frFrench
Théorème de Lucas
glGalician
Teorema de Lucas
itItalian
Teorema di Lucas
kkKazakh
Люк теоремасы
koKorean
뤼카의 정리
ptPortuguese
Teorema de Lucas
ruRussian
Теорема Люка
ukUkrainian
Теорема Люка
zhChinese
卢卡斯定理

Popularity rank trends

Best Rank English:
#197484
02.2025
Global:
#295671
02.2025

AI rank trends

Best Rank English:
#118689
05.2025
Global:
#145336
01.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lucas' theorem from Wikipedia articles about Kummers theorem, Binomial coefficient, Wolstenholmes theorem, Pascals triangle and List of theorems. Whereas reading the article about Lucas' theorem people most often go to Wikipedia articles on Kummers theorem, Édouard Lucas, Binomial coefficient, Gauss–Lucas theorem and Modular arithmetic.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 16 March 2026

On 16 March 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 98th Academy Awards, Michael B. Jordan, Sinners, Jessie Buckley, Paul Thomas Anderson, Sean Penn, One Battle After Another, Amy Madigan, Hamnet, Timothée Chalamet.

In English Wikipedia the most popular articles on that day were: 98th Academy Awards, Michael B. Jordan, Paul Thomas Anderson, Jessie Buckley, Sinners (2025 film), Amy Madigan, Autumn Durald Arkapaw, Maya Rudolph, Sean Penn, Academy Awards.

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