Primitive root modulo n

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Primitive root modulo n

Quality:

Primitive root modulo n - generator of the multiplicative group of integers modulo n. Article “Primitive root modulo n” in Simple English Wikipedia has 0.5 points for quality (as of July 1, 2026).

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Simple English) language version.

Since the creation of article “Primitive root modulo n”, its content was written by 2 registered users of Simple English Wikipedia and edited by 414 registered Wikipedia users in all languages.

The article is cited 3 times in Simple English Wikipedia and cited 432 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Simple English): #728 in May 2015
  • Global: #13103 in October 2014

The highest popularity rank from 2008:

  • Local (Simple English): #18811 in January 2017
  • Global: #85460 in November 2014

There are 23 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, 2026 (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
1English (en)
Primitive root modulo n
43.8776
2Portuguese (pt)
Raiz primitiva módulo n
35.5384
3Tamil (ta)
ஏது மூலம், மாடுலோ p
29.5792
4Hungarian (hu)
Primitív gyök
28.493
5Galician (gl)
Raíz primitiva módulo n
25.0076
6German (de)
Primitivwurzel
22.131
7Czech (cs)
Primitivní kořen
17.136
8Russian (ru)
Первообразный корень (теория чисел)
16.0881
9Chinese (zh)
原根
16.0842
10French (fr)
Racine primitive modulo n
15.067
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 "Primitive root modulo n" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Primitive root modulo n
1 668 485
2Russian (ru)
Первообразный корень (теория чисел)
292 632
3German (de)
Primitivwurzel
258 289
4Chinese (zh)
原根
120 660
5Japanese (ja)
指数 (初等整数論)
67 159
6Spanish (es)
Raíz primitiva módulo n
65 053
7French (fr)
Racine primitive modulo n
64 494
8Polish (pl)
Pierwiastek pierwotny
59 222
9Vietnamese (vi)
Căn nguyên thủy modulo n
50 795
10Hungarian (hu)
Primitív gyök
20 654
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Primitive root modulo n" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Primitive root modulo n
2 370
2Russian (ru)
Первообразный корень (теория чисел)
384
3Chinese (zh)
原根
296
4Spanish (es)
Raíz primitiva módulo n
235
5German (de)
Primitivwurzel
181
6Polish (pl)
Pierwiastek pierwotny
168
7French (fr)
Racine primitive modulo n
120
8Japanese (ja)
指数 (初等整数論)
115
9Italian (it)
Radice primitiva modulo n
86
10Vietnamese (vi)
Căn nguyên thủy modulo n
85
More...

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

The highest AI

Language versions of the article "Primitive root modulo n" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Primitive root modulo n
101
2German (de)
Primitivwurzel
59
3French (fr)
Racine primitive modulo n
42
4Italian (it)
Radice primitiva modulo n
27
5Chinese (zh)
原根
26
6Russian (ru)
Первообразный корень (теория чисел)
24
7Hungarian (hu)
Primitív gyök
22
8Polish (pl)
Pierwiastek pierwotny
20
9Hebrew (he)
איבר פרימיטיבי
19
10Japanese (ja)
指数 (初等整数論)
12
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 2026

Language versions of the article "Primitive root modulo n" with the highest AI in June 2026
#LanguageAI awardRelative AI
1Belarusian (be)
Першаісны корань (тэорыя лікаў)
0
2Catalan (ca)
Arrel primitiva
0
3Czech (cs)
Primitivní kořen
0
4German (de)
Primitivwurzel
0
5English (en)
Primitive root modulo n
0
6Spanish (es)
Raíz primitiva módulo n
0
7French (fr)
Racine primitive modulo n
0
8Galician (gl)
Raíz primitiva módulo n
0
9Hebrew (he)
איבר פרימיטיבי
0
10Croatian (hr)
Primitivni korijen
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 "Primitive root modulo n" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Chinese (zh)
原根
112
2English (en)
Primitive root modulo n
57
3German (de)
Primitivwurzel
36
4Russian (ru)
Первообразный корень (теория чисел)
27
5Japanese (ja)
指数 (初等整数論)
26
6French (fr)
Racine primitive modulo n
23
7Spanish (es)
Raíz primitiva módulo n
21
8Ukrainian (uk)
Первісний корінь
21
9Korean (ko)
원시근
15
10Hungarian (hu)
Primitív gyök
14
More...

Scores

Estimated value for Wikipedia:
Simple English:
Global:
Popularity in June 2026:
Simple English:
Global:
Popularity in all years:
Simple English:
Global:
Authors in June 2026:
Simple English:
Global:
Registered authors in all years:
Simple English:
Global:
Citations:
Simple English:
Global:

Quality measures

Interwikis

#LanguageValue
beBelarusian
Першаісны корань (тэорыя лікаў)
caCatalan
Arrel primitiva
csCzech
Primitivní kořen
deGerman
Primitivwurzel
enEnglish
Primitive root modulo n
esSpanish
Raíz primitiva módulo n
frFrench
Racine primitive modulo n
glGalician
Raíz primitiva módulo n
heHebrew
איבר פרימיטיבי
hrCroatian
Primitivni korijen
huHungarian
Primitív gyök
itItalian
Radice primitiva modulo n
jaJapanese
指数 (初等整数論)
koKorean
원시근
plPolish
Pierwiastek pierwotny
ptPortuguese
Raiz primitiva módulo n
ruRussian
Первообразный корень (теория чисел)
simpleSimple English
Primitive root modulo n
svSwedish
Primitiv rot
taTamil
ஏது மூலம், மாடுலோ p
ukUkrainian
Первісний корінь
viVietnamese
Căn nguyên thủy modulo n
zhChinese
原根

Popularity rank trends

Best Rank Simple English:
#18811
01.2017
Global:
#85460
11.2014

AI rank trends

Best Rank Simple English:
#728
05.2015
Global:
#13103
10.2014

Local AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Primitive root modulo n from Wikipedia articles about Diffie–Hellman key exchange, Multiplicative group of integers modulo n, Möbius function, Primitive root and ElGamal encryption. Whereas reading the article about Primitive root modulo n people most often go to Wikipedia articles on Eulers totient function, Multiplicative group of integers modulo n, Coprime, Modular arithmetic and Artins conjecture on primitive roots.

Cumulative results of quality and popularity of the Wikipedia article

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

zh: 原根

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In Simple English Wikipedia the most popular articles on that day were: List of European countries, Black, List of sex positions, 2026 Iran war, Suresh Raina, Politics of Germany, Academy Award for Best Director, 2020, DYSS-TV, 2022.

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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information