Dirichlet's theorem on arithmetic progressions

en

WikiRank.net
ver. 1.6

Dirichlet's theorem on arithmetic progressions

Quality:

Dirichlet's theorem on arithmetic progressions - theorem that, for coprime ? and ?, there are infinitely many primes congruent to ? modulo ?. Article "Dirichlet's theorem on arithmetic progressions" in English Wikipedia has 26.2 points for quality (as of July 1, 2025). The article contains 7 references and 9 sections.

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

In June 2025 the article "Dirichlet's theorem on arithmetic progressions" was edited by 1 authors in English Wikipedia and written by 5 authors in all languages.

Since the creation of article "Dirichlet's theorem on arithmetic progressions", its content was written by 100 registered users of English Wikipedia and edited by 500 registered Wikipedia users in all languages.

The article is cited 79 times in English Wikipedia and cited 574 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #1518 in October 2002
  • Global: #3354 in October 2002

The highest popularity rank from 2008:

  • Local (English): #134901 in October 2019
  • Global: #89475 in July 2023

There are 22 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
1German (de)
Satz von Dirichlet (Primzahlen)
76.4656
2Hebrew (he)
משפט דיריכלה
75.3688
3Catalan (ca)
Teorema de la progressió aritmètica
37.234
4Polish (pl)
Twierdzenie Dirichleta o liczbach pierwszych
27.2648
5French (fr)
Théorème de la progression arithmétique
26.4894
6English (en)
Dirichlet's theorem on arithmetic progressions
26.2276
7Arabic (ar)
مبرهنة دركليه حول المتتاليات الحسابية
18.2878
8Korean (ko)
디리클레 등차수열 정리
13.7027
9Galician (gl)
Teorema de Dirichlet sobre progresións aritméticas
13.1184
10Italian (it)
Teorema di Dirichlet
12.5044
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 "Dirichlet's theorem on arithmetic progressions" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Dirichlet's theorem on arithmetic progressions
528 821
2French (fr)
Théorème de la progression arithmétique
105 100
3German (de)
Satz von Dirichlet (Primzahlen)
89 033
4Japanese (ja)
算術級数定理
86 055
5Russian (ru)
Теорема Дирихле о простых числах в арифметической прогрессии
67 593
6Italian (it)
Teorema di Dirichlet
53 997
7Hebrew (he)
משפט דיריכלה
39 262
8Chinese (zh)
狄利克雷定理
38 281
9Vietnamese (vi)
Định lý Dirichlet trên cấp số cộng
19 714
10Portuguese (pt)
Teorema de Dirichlet sobre progressões aritméticas
16 839
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 "Dirichlet's theorem on arithmetic progressions" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Dirichlet's theorem on arithmetic progressions
3 148
2Japanese (ja)
算術級数定理
533
3Russian (ru)
Теорема Дирихле о простых числах в арифметической прогрессии
412
4French (fr)
Théorème de la progression arithmétique
400
5German (de)
Satz von Dirichlet (Primzahlen)
292
6Chinese (zh)
狄利克雷定理
239
7Hebrew (he)
משפט דיריכלה
179
8Italian (it)
Teorema di Dirichlet
159
9Vietnamese (vi)
Định lý Dirichlet trên cấp số cộng
104
10Korean (ko)
디리클레 등차수열 정리
89
More...

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

The highest AI

Language versions of the article "Dirichlet's theorem on arithmetic progressions" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Dirichlet's theorem on arithmetic progressions
100
2German (de)
Satz von Dirichlet (Primzahlen)
56
3French (fr)
Théorème de la progression arithmétique
50
4Hebrew (he)
משפט דיריכלה
48
5Italian (it)
Teorema di Dirichlet
47
6Spanish (es)
Teorema de Dirichlet sobre progresiones aritméticas
30
7Hungarian (hu)
Dirichlet-tétel
26
8Japanese (ja)
算術級数定理
23
9Russian (ru)
Теорема Дирихле о простых числах в арифметической прогрессии
23
10Vietnamese (vi)
Định lý Dirichlet trên cấp số cộng
22
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 "Dirichlet's theorem on arithmetic progressions" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Satz von Dirichlet (Primzahlen)
1
2English (en)
Dirichlet's theorem on arithmetic progressions
1
3French (fr)
Théorème de la progression arithmétique
1
4Hebrew (he)
משפט דיריכלה
1
5Portuguese (pt)
Teorema de Dirichlet sobre progressões aritméticas
1
6Arabic (ar)
مبرهنة دركليه حول المتتاليات الحسابية
0
7Bulgarian (bg)
Теорема на Дирихле за простите числа
0
8Catalan (ca)
Teorema de la progressió aritmètica
0
9Spanish (es)
Teorema de Dirichlet sobre progresiones aritméticas
0
10Persian (fa)
قضیه دیریکله روی تصاعدهای حسابی
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 "Dirichlet's theorem on arithmetic progressions" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Théorème de la progression arithmétique
157
2English (en)
Dirichlet's theorem on arithmetic progressions
79
3German (de)
Satz von Dirichlet (Primzahlen)
36
4Hebrew (he)
משפט דיריכלה
31
5Japanese (ja)
算術級数定理
29
6Russian (ru)
Теорема Дирихле о простых числах в арифметической прогрессии
29
7Chinese (zh)
狄利克雷定理
29
8Catalan (ca)
Teorema de la progressió aritmètica
23
9Italian (it)
Teorema di Dirichlet
18
10Hungarian (hu)
Dirichlet-tétel
16
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 دركليه حول المتتاليات الحسابية
bgBulgarian
Теорема на Дирихле за простите числа
caCatalan
Teorema de la progressió aritmètica
deGerman
Satz von Dirichlet (Primzahlen)
enEnglish
Dirichlet's theorem on arithmetic progressions
esSpanish
Teorema de Dirichlet sobre progresiones aritméticas
faPersian
قضیه دیریکله روی تصاعدهای حسابی
frFrench
Théorème de la progression arithmétique
glGalician
Teorema de Dirichlet sobre progresións aritméticas
heHebrew
משפט דיריכלה
huHungarian
Dirichlet-tétel
itItalian
Teorema di Dirichlet
jaJapanese
算術級数定理
koKorean
디리클레 등차수열 정리
nlDutch
Stelling van Dirichlet over rekenkundige rijen
plPolish
Twierdzenie Dirichleta o liczbach pierwszych
ptPortuguese
Teorema de Dirichlet sobre progressões aritméticas
ruRussian
Теорема Дирихле о простых числах в арифметической прогрессии
svSwedish
Dirichlets sats om aritmetiska följder
ukUkrainian
Теорема Діріхле про арифметичні прогресії
viVietnamese
Định lý Dirichlet trên cấp số cộng
zhChinese
狄利克雷定理

Popularity rank trends

Best Rank English:
#134901
10.2019
Global:
#89475
07.2023

AI rank trends

Best Rank English:
#1518
10.2002
Global:
#3354
10.2002

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 Dirichlet's theorem on arithmetic progressions from Wikipedia articles about Dirichlets theorem, Analytic number theory, Johann Peter Gustav Lejeune Dirichlet, Green–Tao theorem and Dirichlet L-function. Whereas reading the article about Dirichlet's theorem on arithmetic progressions people most often go to Wikipedia articles on Dirichlet L-function, Johann Peter Gustav Lejeune Dirichlet, Prime number theorem, Chebotarevs density theorem and Coprime.

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