Euler's totient 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 totient theorem” in Simple English Wikipedia has 17.9 points for quality (as of July 1, 2026). The article contains 2 references and 1 sections.

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

Since the creation of article “Euler's totient theorem”, its content was written by 6 registered users of Simple English Wikipedia and edited by 668 registered Wikipedia users in all languages.

The article is cited 5 times in Simple English Wikipedia and cited 731 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Simple English): #2038 in December 2018
• Global: #4615 in August 2002

The highest popularity rank from 2008:

• Local (Simple English): #13446 in November 2020
• Global: #37563 in April 2013

There are 35 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	Polish (pl) Twierdzenie Eulera (teoria liczb)		23.2196
2	Indonesian (id) Teorema Euler		21.1357
3	Greek (el) Θεώρημα του Όιλερ		20.7605
4	Slovenian (sl) Eulerjev izrek		19.5437
5	Simple English (simple) Euler's totient theorem		17.9419
6	English (en) Euler's theorem		17.2356
7	Croatian (hr) Eulerov teorem		16.2056
8	Serbian (sr) Ојлерова теорема		13.1133
9	Galician (gl) Teorema de Euler		12.3369
10	Spanish (es) Teorema de Euler		11.4443

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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 totient theorem" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Euler's theorem		2 296 789
2	Spanish (es) Teorema de Euler		597 916
3	Russian (ru) Теорема Эйлера (теория чисел)		484 219
4	German (de) Satz von Euler		342 094
5	Japanese (ja) オイラーの定理 (数論)		315 888
6	Chinese (zh) 欧拉定理 (数论)		245 755
7	French (fr) Théorème d'Euler (arithmétique)		200 781
8	Italian (it) Teorema di Eulero (aritmetica modulare)		158 021
9	Portuguese (pt) Teorema de Euler		150 891
10	Polish (pl) Twierdzenie Eulera (teoria liczb)		150 276

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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 totient theorem" in June 2026

#	Language	Popularity award	Relative popularity
1	English (en) Euler's theorem		3 707
2	Russian (ru) Теорема Эйлера (теория чисел)		825
3	Japanese (ja) オイラーの定理 (数論)		703
4	German (de) Satz von Euler		611
5	French (fr) Théorème d'Euler (arithmétique)		607
6	Spanish (es) Teorema de Euler		495
7	Chinese (zh) 欧拉定理 (数论)		424
8	Polish (pl) Twierdzenie Eulera (teoria liczb)		423
9	Vietnamese (vi) Định lý Euler		278
10	Italian (it) Teorema di Eulero (aritmetica modulare)		271

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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 totient 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		129
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	Polish (pl) Twierdzenie Eulera (teoria liczb)		26
8	Dutch (nl) Stelling van Euler		25
9	Russian (ru) Теорема Эйлера (теория чисел)		23
10	Vietnamese (vi) Định lý Euler		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 totient theorem" with the highest AI in June 2026

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

#	Language	CI award	Relative CI
1	Italian (it) Teorema di Eulero (aritmetica modulare)		221
2	Polish (pl) Twierdzenie Eulera (teoria liczb)		77
3	English (en) Euler's theorem		67
4	French (fr) Théorème d'Euler (arithmétique)		34
5	Chinese (zh) 欧拉定理 (数论)		32
6	Arabic (ar) مبرهنة أويلر		25
7	Russian (ru) Теорема Эйлера (теория чисел)		23
8	Spanish (es) Teorema de Euler		20
9	German (de) Satz von Euler		19
10	Hebrew (he) משפט אוילר		18

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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
uk	Ukrainian Теорема Ейлера (теорія чисел)
vi	Vietnamese Định lý Euler
zh	Chinese 欧拉定理 (数论)

Best Rank

Simple English: #13446 11.2020

Global: #37563 04.2013

Best Rank

Simple English: #2038 12.2018

Global: #4615 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 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