Euler's theorem

Euler's theorem - generalization of Fermat's little theorem, that given coprime positive integers ? and ?, then the φ(?)-th power of ? is congruent to 1 modulo ?, where φ is Euler’s totient function. Article "Euler's theorem" in English Wikipedia has 17.3 points for quality (as of July 1, 2025). The article contains 6 references and 5 sections.

This article has the best quality in Indonesian Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Euler's theorem", its content was written by 127 registered users of English Wikipedia and edited by 671 registered Wikipedia users in all languages.

The article is cited 80 times in English Wikipedia and cited 790 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #2604 in August 2002
• Global: #4613 in August 2002

The highest popularity rank from 2008:

• Local (English): #54044 in April 2013
• Global: #35942 in April 2013

There are 36 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.

#	Language	Quality grade	Quality score
1	Indonesian (id) Teorema Euler		24.7258
2	Polish (pl) Twierdzenie Eulera (teoria liczb)		21.6522
3	Greek (el) Θεώρημα του Όιλερ		20.6892
4	Slovenian (sl) Eulerjev izrek		19.673
5	Simple English (simple) Euler's totient theorem		18.1958
6	English (en) Euler's theorem		17.3086
7	Croatian (hr) Eulerov teorem		16.2442
8	Portuguese (pt) Teorema de Euler		13.2076
9	Serbian (sr) Ојлерова теорема		13.0116
10	Galician (gl) Teorema de Euler		12.2893

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

The most popular language versions of the article "Euler's theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Euler's theorem		2 230 515
2	Spanish (es) Teorema de Euler		590 957
3	Russian (ru) Теорема Эйлера (теория чисел)		446 698
4	German (de) Satz von Euler		333 838
5	Japanese (ja) オイラーの定理 (数論)		304 716
6	Chinese (zh) 欧拉定理 (数论)		236 923
7	French (fr) Théorème d'Euler (arithmétique)		192 148
8	Italian (it) Teorema di Eulero (aritmetica modulare)		154 041
9	Portuguese (pt) Teorema de Euler		148 825
10	Polish (pl) Twierdzenie Eulera (teoria liczb)		145 135

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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 "Euler's theorem" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Euler's theorem		5 090
2	Russian (ru) Теорема Эйлера (теория чисел)		1 587
3	Japanese (ja) オイラーの定理 (数論)		1 015
4	Chinese (zh) 欧拉定理 (数论)		1 004
5	Spanish (es) Teorema de Euler		841
6	Vietnamese (vi) Định lý Euler		837
7	French (fr) Théorème d'Euler (arithmétique)		793
8	German (de) Satz von Euler		650
9	Polish (pl) Twierdzenie Eulera (teoria liczb)		616
10	Italian (it) Teorema di Eulero (aritmetica modulare)		382

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

Language versions of the article "Euler's theorem" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Euler's theorem		127
2	German (de) Satz von Euler		63
3	Spanish (es) Teorema de Euler		46
4	French (fr) Théorème d'Euler (arithmétique)		39
5	Italian (it) Teorema di Eulero (aritmetica modulare)		35
6	Hungarian (hu) Euler–Fermat-tétel		27
7	Dutch (nl) Stelling van Euler		25
8	Polish (pl) Twierdzenie Eulera (teoria liczb)		25
9	Russian (ru) Теорема Эйлера (теория чисел)		23
10	Chinese (zh) 欧拉定理 (数论)		21

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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 "Euler's theorem" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Arabic (ar) مبرهنة أويلر		0
2	Belarusian (be) Тэарэма Эйлера (тэорыя лікаў)		0
3	Bulgarian (bg) Теорема на Ойлер		0
4	Catalan (ca) Teorema d'Euler		0
5	Czech (cs) Eulerova věta (teorie čísel)		0
6	Danish (da) Eulers sætning		0
7	German (de) Satz von Euler		0
8	Greek (el) Θεώρημα του Όιλερ		0
9	English (en) Euler's theorem		0
10	Spanish (es) Teorema de Euler		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 "Euler's theorem" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Italian (it) Teorema di Eulero (aritmetica modulare)		221
2	English (en) Euler's theorem		80
3	Polish (pl) Twierdzenie Eulera (teoria liczb)		78
4	French (fr) Théorème d'Euler (arithmétique)		38
5	Chinese (zh) 欧拉定理 (数论)		32
6	Arabic (ar) مبرهنة أويلر		28
7	Turkish (tr) Euler teoremi		27
8	Russian (ru) Теорема Эйлера (теория чисел)		23
9	German (de) Satz von Euler		22
10	Spanish (es) Teorema de Euler		22

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#	Language	Value
ar	Arabic مبرهنة أويلر
be	Belarusian Тэарэма Эйлера (тэорыя лікаў)
bg	Bulgarian Теорема на Ойлер
ca	Catalan Teorema d'Euler
cs	Czech Eulerova věta (teorie čísel)
da	Danish Eulers sætning
de	German Satz von Euler
el	Greek Θεώρημα του Όιλερ
en	English Euler's theorem
es	Spanish Teorema de Euler
fa	Persian قضیه اویلر
fi	Finnish Eulerin lause (lukuteoria)
fr	French Théorème d'Euler (arithmétique)
gl	Galician Teorema de Euler
he	Hebrew משפט אוילר
hi	Hindi ऑयलर का प्रमेय
hr	Croatian Eulerov teorem
hu	Hungarian Euler–Fermat-tétel
id	Indonesian Teorema Euler
it	Italian Teorema di Eulero (aritmetica modulare)
ja	Japanese オイラーの定理 (数論)
kk	Kazakh Эйлер теоремасы (сандар теориясы)
ko	Korean 오일러 정리
nl	Dutch Stelling van Euler
pl	Polish Twierdzenie Eulera (teoria liczb)
pt	Portuguese Teorema de Euler
ro	Romanian Teorema lui Euler
ru	Russian Теорема Эйлера (теория чисел)
simple	Simple English Euler's totient theorem
sl	Slovenian Eulerjev izrek
sr	Serbian Ојлерова теорема
sv	Swedish Eulers sats
tr	Turkish Euler teoremi
uk	Ukrainian Теорема Ейлера (теорія чисел)
vi	Vietnamese Định lý Euler
zh	Chinese 欧拉定理 (数论)

Best Rank

English: #54044 04.2013

Global: #35942 04.2013

Best Rank

English: #2604 08.2002

Global: #4613 08.2002

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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 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