Carmichael's theorem

en

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Carmichael's theorem

Quality:

Carmichael's theorem - On prime divisors Fibonacci numbers and Lucas sequences, more generally. Article “Carmichael's theorem” in English Wikipedia has 12.9 points for quality (as of July 1, 2025). The article contains 3 references and 4 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 “Carmichael's theorem”, its content was written by 24 registered users of English Wikipedia and edited by 50 registered Wikipedia users in all languages.

The article is cited 8 times in English Wikipedia and cited 34 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #74635 in December 2016
  • Global: #204288 in September 2008

The highest popularity rank from 2008:

  • Local (English): #270882 in November 2010
  • Global: #429598 in November 2010

There are 8 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)
Carmichael's theorem
12.8574
2French (fr)
Théorème de Carmichael
10.5141
3Hungarian (hu)
Carmichael-tétel
2.8086
4Arabic (ar)
مبرهنة كارمايكل
2.4846
5Italian (it)
Teorema di Carmichael
2.3868
6Esperanto (eo)
Teoremo de Carmichael
1.6246
7Swedish (sv)
Carmichaels sats
1.4919
8Spanish (es)
Teorema de Carmichael
1.4726
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 "Carmichael's theorem" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Carmichael's theorem
65 374
2Spanish (es)
Teorema de Carmichael
9 411
3Italian (it)
Teorema di Carmichael
3 704
4Esperanto (eo)
Teoremo de Carmichael
2 121
5Swedish (sv)
Carmichaels sats
1 648
6Arabic (ar)
مبرهنة كارمايكل
1 560
7Hungarian (hu)
Carmichael-tétel
607
8French (fr)
Théorème de Carmichael
219
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 "Carmichael's theorem" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Carmichael's theorem
272
2Spanish (es)
Teorema de Carmichael
19
3Italian (it)
Teorema di Carmichael
12
4French (fr)
Théorème de Carmichael
8
5Esperanto (eo)
Teoremo de Carmichael
6
6Hungarian (hu)
Carmichael-tétel
6
7Swedish (sv)
Carmichaels sats
4
8Arabic (ar)
مبرهنة كارمايكل
3
More...

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

The highest AI

Language versions of the article "Carmichael's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Carmichael's theorem
24
2Italian (it)
Teorema di Carmichael
7
3Esperanto (eo)
Teoremo de Carmichael
4
4Spanish (es)
Teorema de Carmichael
4
5French (fr)
Théorème de Carmichael
4
6Swedish (sv)
Carmichaels sats
3
7Arabic (ar)
مبرهنة كارمايكل
2
8Hungarian (hu)
Carmichael-tétel
2
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 "Carmichael's theorem" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
مبرهنة كارمايكل
0
2English (en)
Carmichael's theorem
0
3Esperanto (eo)
Teoremo de Carmichael
0
4Spanish (es)
Teorema de Carmichael
0
5French (fr)
Théorème de Carmichael
0
6Hungarian (hu)
Carmichael-tétel
0
7Italian (it)
Teorema di Carmichael
0
8Swedish (sv)
Carmichaels sats
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 "Carmichael's theorem" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Carmichael's theorem
8
2Esperanto (eo)
Teoremo de Carmichael
7
3Spanish (es)
Teorema de Carmichael
5
4Italian (it)
Teorema di Carmichael
4
5Arabic (ar)
مبرهنة كارمايكل
3
6Hungarian (hu)
Carmichael-tétel
3
7French (fr)
Théorème de Carmichael
2
8Swedish (sv)
Carmichaels sats
2
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
arArabic
مبرهنة كارمايكل
enEnglish
Carmichael's theorem
eoEsperanto
Teoremo de Carmichael
esSpanish
Teorema de Carmichael
frFrench
Théorème de Carmichael
huHungarian
Carmichael-tétel
itItalian
Teorema di Carmichael
svSwedish
Carmichaels sats

Popularity rank trends

Best Rank English:
#270882
11.2010
Global:
#429598
11.2010

AI rank trends

Best Rank English:
#74635
12.2016
Global:
#204288
09.2008

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Carmichael's theorem from Wikipedia articles about Zsigmondys theorem, Fermats little theorem, Fibonacci sequence, Fibonacci prime and Lucas sequence. Whereas reading the article about Carmichael's theorem people most often go to Wikipedia articles on Zsigmondys theorem, Lucas sequence, Robert Daniel Carmichael, Carmichael function and Pell number.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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