Primitive element (finite field)

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Primitive element (finite field)

Quality:

Primitive element - generator of the multiplicative group of a finite field. Article “Primitive element (finite field)” in English Wikipedia has 8.2 points for quality (as of July 1, 2025). The article contains 0 references and 5 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 element (finite field)”, its content was written by 16 registered users of English Wikipedia and edited by 28 registered Wikipedia users in all languages.

The article is cited 22 times in English Wikipedia and cited 40 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #127886 in November 2019
  • Global: #220136 in September 2012

The highest popularity rank from 2008:

  • Local (English): #437472 in November 2022
  • Global: #635700 in November 2022

There are 4 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
1English (en)
Primitive element (finite field)
8.1565
2Japanese (ja)
原始元 (有限体)
3.626
3Russian (ru)
Примитивный элемент конечного поля
2.1153
4Ukrainian (uk)
Примітивний елемент скінченного поля
1.9519
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 element (finite field)" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Primitive element (finite field)
209 020
2Russian (ru)
Примитивный элемент конечного поля
54 474
3Japanese (ja)
原始元 (有限体)
19 529
4Ukrainian (uk)
Примітивний елемент скінченного поля
3 389
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 "Primitive element (finite field)" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Primitive element (finite field)
1 163
2Japanese (ja)
原始元 (有限体)
149
3Russian (ru)
Примитивный элемент конечного поля
124
4Ukrainian (uk)
Примітивний елемент скінченного поля
14
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 element (finite field)" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Primitive element (finite field)
16
2Russian (ru)
Примитивный элемент конечного поля
6
3Japanese (ja)
原始元 (有限体)
5
4Ukrainian (uk)
Примітивний елемент скінченного поля
1
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 "Primitive element (finite field)" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Primitive element (finite field)
0
2Japanese (ja)
原始元 (有限体)
0
3Russian (ru)
Примитивный элемент конечного поля
0
4Ukrainian (uk)
Примітивний елемент скінченного поля
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 element (finite field)" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Primitive element (finite field)
22
2Russian (ru)
Примитивный элемент конечного поля
11
3Japanese (ja)
原始元 (有限体)
4
4Ukrainian (uk)
Примітивний елемент скінченного поля
3
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
enEnglish
Primitive element (finite field)
jaJapanese
原始元 (有限体)
ruRussian
Примитивный элемент конечного поля
ukUkrainian
Примітивний елемент скінченного поля

Popularity rank trends

Best Rank English:
#437472
11.2022
Global:
#635700
11.2022

AI rank trends

Best Rank English:
#127886
11.2019
Global:
#220136
09.2012

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Primitive element from Wikipedia articles about Primitive polynomial, Primitive element, Finite field, Linear congruential generator and Finite field arithmetic. Whereas reading the article about Primitive element people most often go to Wikipedia articles on Primitive element theorem, Root of unity, Finite field, Simple extension and Primitive root modulo n.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 10 March 2026

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In English Wikipedia the most popular articles on that day were: 2026 Iran war, Mojtaba Khamenei, Deaths in 2026, Ali Khamenei, War Machine (upcoming film), Enhypen, Jennifer Runyon, Pete Hegseth, 2026 World Baseball Classic, Iran.

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