Primitive root modulo n

Primitive root modulo n - generator of the multiplicative group of integers modulo n. Article “Primitive root modulo n” in English Wikipedia has 43.9 points for quality (as of July 1, 2026). The article contains 28 references and 16 sections.

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

Since the creation of article “Primitive root modulo n”, its content was written by 101 registered users of English Wikipedia and edited by 414 registered Wikipedia users in all languages.

The article is cited 57 times in English Wikipedia and cited 432 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #11402 in October 2003
• Global: #13103 in October 2014

The highest popularity rank from 2008:

• Local (English): #71442 in March 2022
• 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.

#	Language	Quality grade	Quality score
1	English (en) Primitive root modulo n		43.8776
2	Portuguese (pt) Raiz primitiva módulo n		35.5384
3	Tamil (ta) ஏது மூலம், மாடுலோ p		29.5792
4	Hungarian (hu) Primitív gyök		28.493
5	Galician (gl) Raíz primitiva módulo n		25.0076
6	German (de) Primitivwurzel		22.131
7	Czech (cs) Primitivní kořen		17.136
8	Russian (ru) Первообразный корень (теория чисел)		16.0881
9	Chinese (zh) 原根		16.0842
10	French (fr) Racine primitive modulo n		15.067

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Primitive root modulo n" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Primitive root modulo n		1 668 485
2	Russian (ru) Первообразный корень (теория чисел)		292 632
3	German (de) Primitivwurzel		258 289
4	Chinese (zh) 原根		120 660
5	Japanese (ja) 指数 (初等整数論)		67 159
6	Spanish (es) Raíz primitiva módulo n		65 053
7	French (fr) Racine primitive modulo n		64 494
8	Polish (pl) Pierwiastek pierwotny		59 222
9	Vietnamese (vi) Căn nguyên thủy modulo n		50 795
10	Hungarian (hu) Primitív gyök		20 654

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

The most popular language versions of the article "Primitive root modulo n" in June 2026

#	Language	Popularity award	Relative popularity
1	English (en) Primitive root modulo n		2 370
2	Russian (ru) Первообразный корень (теория чисел)		384
3	Chinese (zh) 原根		296
4	Spanish (es) Raíz primitiva módulo n		235
5	German (de) Primitivwurzel		181
6	Polish (pl) Pierwiastek pierwotny		168
7	French (fr) Racine primitive modulo n		120
8	Japanese (ja) 指数 (初等整数論)		115
9	Italian (it) Radice primitiva modulo n		86
10	Vietnamese (vi) Căn nguyên thủy modulo n		85

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

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.

#	Language	AI award	Relative AI
1	English (en) Primitive root modulo n		101
2	German (de) Primitivwurzel		59
3	French (fr) Racine primitive modulo n		42
4	Italian (it) Radice primitiva modulo n		27
5	Chinese (zh) 原根		26
6	Russian (ru) Первообразный корень (теория чисел)		24
7	Hungarian (hu) Primitív gyök		22
8	Polish (pl) Pierwiastek pierwotny		20
9	Hebrew (he) איבר פרימיטיבי		19
10	Japanese (ja) 指数 (初等整数論)		12

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

Language versions of the article "Primitive root modulo n" with the highest AI in June 2026

#	Language	AI award	Relative AI
1	Belarusian (be) Першаісны корань (тэорыя лікаў)		0
2	Catalan (ca) Arrel primitiva		0
3	Czech (cs) Primitivní kořen		0
4	German (de) Primitivwurzel		0
5	English (en) Primitive root modulo n		0
6	Spanish (es) Raíz primitiva módulo n		0
7	French (fr) Racine primitive modulo n		0
8	Galician (gl) Raíz primitiva módulo n		0
9	Hebrew (he) איבר פרימיטיבי		0
10	Croatian (hr) Primitivni korijen		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Primitive root modulo n" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Chinese (zh) 原根		112
2	English (en) Primitive root modulo n		57
3	German (de) Primitivwurzel		36
4	Russian (ru) Первообразный корень (теория чисел)		27
5	Japanese (ja) 指数 (初等整数論)		26
6	French (fr) Racine primitive modulo n		23
7	Spanish (es) Raíz primitiva módulo n		21
8	Ukrainian (uk) Первісний корінь		21
9	Korean (ko) 원시근		15
10	Hungarian (hu) Primitív gyök		14

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#	Language	Value
be	Belarusian Першаісны корань (тэорыя лікаў)
ca	Catalan Arrel primitiva
cs	Czech Primitivní kořen
de	German Primitivwurzel
en	English Primitive root modulo n
es	Spanish Raíz primitiva módulo n
fr	French Racine primitive modulo n
gl	Galician Raíz primitiva módulo n
he	Hebrew איבר פרימיטיבי
hr	Croatian Primitivni korijen
hu	Hungarian Primitív gyök
it	Italian Radice primitiva modulo n
ja	Japanese 指数 (初等整数論)
ko	Korean 원시근
pl	Polish Pierwiastek pierwotny
pt	Portuguese Raiz primitiva módulo n
ru	Russian Первообразный корень (теория чисел)
simple	Simple English Primitive root modulo n
sv	Swedish Primitiv rot
ta	Tamil ஏது மூலம், மாடுலோ p
uk	Ukrainian Первісний корінь
vi	Vietnamese Căn nguyên thủy modulo n
zh	Chinese 原根

Best Rank

English: #71442 03.2022

Global: #85460 11.2014

Best Rank

English: #11402 10.2003

Global: #13103 10.2014

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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