Artin's conjecture on primitive roots

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Artin's conjecture on primitive roots

Quality:

Artin's conjecture on primitive roots - in numbers theory, a given integer a which is not a perfect square and not −1 is a primitive root modulo infinitely many primes p. Article "Artin's conjecture on primitive roots" in English Wikipedia has 24.4 points for quality (as of July 1, 2025). The article contains 8 references and 8 sections.

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

In June 2025 the article "Artin's conjecture on primitive roots" was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article "Artin's conjecture on primitive roots", its content was written by 74 registered users of English Wikipedia and edited by 144 registered Wikipedia users in all languages.

The article is cited 51 times in English Wikipedia and cited 284 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #10141 in August 2023
  • Global: #41378 in September 2024

The highest popularity rank from 2008:

  • Local (English): #710257 in November 2014
  • Global: #864799 in April 2009

There are 11 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
1Greek (el)
Εικασία του Αρτέν για αρχικές ρίζες
26.5456
2English (en)
Artin's conjecture on primitive roots
24.3561
3French (fr)
Conjecture d'Artin sur les racines primitives
18.8854
4Italian (it)
Congettura di Artin
17.8698
5Spanish (es)
Conjetura de Artin sobre raíces primitivas
15.9142
6Galician (gl)
Conxectura de Artin sobre raíces primitivas
15.4211
7Korean (ko)
알틴 상수
14.3431
8Russian (ru)
Гипотеза Артина
4.5126
9Hebrew (he)
השערת ארטין על שורשים פרימיטיביים
2.4834
10Swedish (sv)
Artins konstant
2.4436
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 "Artin's conjecture on primitive roots" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Artin's conjecture on primitive roots
133 920
2Russian (ru)
Гипотеза Артина
31 973
3French (fr)
Conjecture d'Artin sur les racines primitives
14 880
4Italian (it)
Congettura di Artin
8 669
5Spanish (es)
Conjetura de Artin sobre raíces primitivas
6 427
6Chinese (zh)
阿廷猜想
3 581
7Korean (ko)
알틴 상수
1 490
8Hebrew (he)
השערת ארטין על שורשים פרימיטיביים
672
9Swedish (sv)
Artins konstant
483
10Galician (gl)
Conxectura de Artin sobre raíces primitivas
122
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 "Artin's conjecture on primitive roots" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Artin's conjecture on primitive roots
1 041
2French (fr)
Conjecture d'Artin sur les racines primitives
72
3Chinese (zh)
阿廷猜想
71
4Russian (ru)
Гипотеза Артина
35
5Spanish (es)
Conjetura de Artin sobre raíces primitivas
23
6Italian (it)
Congettura di Artin
16
7Korean (ko)
알틴 상수
13
8Galician (gl)
Conxectura de Artin sobre raíces primitivas
6
9Greek (el)
Εικασία του Αρτέν για αρχικές ρίζες
5
10Hebrew (he)
השערת ארטין על שורשים פרימיטיביים
5
More...

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

The highest AI

Language versions of the article "Artin's conjecture on primitive roots" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Artin's conjecture on primitive roots
74
2French (fr)
Conjecture d'Artin sur les racines primitives
19
3Russian (ru)
Гипотеза Артина
15
4Italian (it)
Congettura di Artin
12
5Spanish (es)
Conjetura de Artin sobre raíces primitivas
5
6Galician (gl)
Conxectura de Artin sobre raíces primitivas
4
7Korean (ko)
알틴 상수
4
8Swedish (sv)
Artins konstant
4
9Hebrew (he)
השערת ארטין על שורשים פרימיטיביים
3
10Chinese (zh)
阿廷猜想
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 "Artin's conjecture on primitive roots" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Artin's conjecture on primitive roots
1
2French (fr)
Conjecture d'Artin sur les racines primitives
1
3Greek (el)
Εικασία του Αρτέν για αρχικές ρίζες
0
4Spanish (es)
Conjetura de Artin sobre raíces primitivas
0
5Galician (gl)
Conxectura de Artin sobre raíces primitivas
0
6Hebrew (he)
השערת ארטין על שורשים פרימיטיביים
0
7Italian (it)
Congettura di Artin
0
8Korean (ko)
알틴 상수
0
9Russian (ru)
Гипотеза Артина
0
10Swedish (sv)
Artins konstant
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 "Artin's conjecture on primitive roots" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Conjecture d'Artin sur les racines primitives
124
2English (en)
Artin's conjecture on primitive roots
51
3Chinese (zh)
阿廷猜想
32
4Russian (ru)
Гипотеза Артина
30
5Spanish (es)
Conjetura de Artin sobre raíces primitivas
23
6Korean (ko)
알틴 상수
14
7Italian (it)
Congettura di Artin
5
8Swedish (sv)
Artins konstant
3
9Galician (gl)
Conxectura de Artin sobre raíces primitivas
1
10Hebrew (he)
השערת ארטין על שורשים פרימיטיביים
1
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
elGreek
Εικασία του Αρτέν για αρχικές ρίζες
enEnglish
Artin's conjecture on primitive roots
esSpanish
Conjetura de Artin sobre raíces primitivas
frFrench
Conjecture d'Artin sur les racines primitives
glGalician
Conxectura de Artin sobre raíces primitivas
heHebrew
השערת ארטין על שורשים פרימיטיביים
itItalian
Congettura di Artin
koKorean
알틴 상수
ruRussian
Гипотеза Артина
svSwedish
Artins konstant
zhChinese
阿廷猜想

Popularity rank trends

Best Rank English:
#710257
11.2014
Global:
#864799
04.2009

AI rank trends

Best Rank English:
#10141
08.2023
Global:
#41378
09.2024

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Artin's conjecture on primitive roots from Wikipedia articles about Primitive root modulo n, Artin conjecture, Riemann hypothesis, List of conjectures and Prime zeta function. Whereas reading the article about Artin's conjecture on primitive roots people most often go to Wikipedia articles on Primitive root modulo n, Emil Artin, Stephens constant, Generalized Riemann hypothesis and Roger Heath-Brown.

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