Первообразный корень (теория чисел)

Primitive root modulo n - generator of the multiplicative group of integers modulo n. Article "Первообразный корень (теория чисел)" in Russian Wikipedia has 16.1 points for quality (as of August 1, 2024). The article contains 2 references and 11 sections.

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

Since the creation of article "Первообразный корень (теория чисел)", its content was written by 23 registered users of Russian Wikipedia and edited by 395 registered Wikipedia users in all languages.

The article is cited 27 times in Russian Wikipedia and cited 413 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Russian): #8095 in June 2007
• Global: #13092 in October 2014

The highest popularity rank from 2008:

• Local (Russian): #36385 in January 2008
• Global: #83655 in November 2014

There are 21 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 August 1, 2024 (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		44.1466
2	Portuguese (pt) Raiz primitiva módulo n		35.6428
3	Hungarian (hu) Primitív gyök		28.5498
4	German (de) Primitivwurzel		22.5882
5	Czech (cs) Primitivní kořen		17.1455
6	Russian (ru) Первообразный корень (теория чисел)		16.1052
7	French (fr) Racine primitive modulo n		15.1211
8	Hebrew (he) איבר פרימיטיבי		14.5502
9	Chinese (zh) 原根		14.2964
10	Catalan (ca) Arrel primitiva		12.2143

More...

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

The most popular language versions of the article "Первообразный корень (теория чисел)" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Primitive root modulo n		1 556 279
2	Russian (ru) Первообразный корень (теория чисел)		257 642
3	German (de) Primitivwurzel		250 934
4	Chinese (zh) 原根		106 861
5	Japanese (ja) 指数 (初等整数論)		62 595
6	French (fr) Racine primitive modulo n		59 540
7	Spanish (es) Raíz primitiva módulo n		57 045
8	Polish (pl) Pierwiastek pierwotny		53 811
9	Italian (it) Radice primitiva modulo n		47 464
10	Vietnamese (vi) Căn nguyên thủy modulo n		45 841

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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 "Первообразный корень (теория чисел)" in July 2024

#	Language	Popularity award	Relative popularity
1	English (en) Primitive root modulo n		5 263
2	German (de) Primitivwurzel		807
3	Chinese (zh) 原根		577
4	Russian (ru) Первообразный корень (теория чисел)		570
5	Vietnamese (vi) Căn nguyên thủy modulo n		311
6	Japanese (ja) 指数 (初等整数論)		300
7	Italian (it) Radice primitiva modulo n		235
8	Spanish (es) Raíz primitiva módulo n		221
9	French (fr) Racine primitive modulo n		193
10	Hebrew (he) איבר פרימיטיבי		171

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

Language versions of the article "Первообразный корень (теория чисел)" 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		97
2	German (de) Primitivwurzel		59
3	French (fr) Racine primitive modulo n		39
4	Italian (it) Radice primitiva modulo n		26
5	Russian (ru) Первообразный корень (теория чисел)		23
6	Chinese (zh) 原根		23
7	Hungarian (hu) Primitív gyök		22
8	Polish (pl) Pierwiastek pierwotny		18
9	Hebrew (he) איבר פרימיטיבי		17
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 "Первообразный корень (теория чисел)" with the highest AI in July 2024

#	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	Hebrew (he) איבר פרימיטיבי		0
9	Croatian (hr) Primitivni korijen		0
10	Hungarian (hu) Primitív gyök		0

More...

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

Language versions of the article "Первообразный корень (теория чисел)" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Chinese (zh) 原根		111
2	English (en) Primitive root modulo n		60
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	Spanish (es) Raíz primitiva módulo n		24
7	French (fr) Racine primitive modulo n		23
8	Ukrainian (uk) Первісний корінь		22
9	Italian (it) Radice primitiva modulo n		15
10	Hungarian (hu) Primitív gyök		14

More...

#	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
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)
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

Russian: #36385 01.2008

Global: #83655 11.2014

Best Rank

Russian: #8095 06.2007

Global: #13092 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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information