Euler's totient function

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Euler's totient function

Quality:

Euler's totient function - function which gives the number of integers relatively prime to and not greater than its input. Article “Euler's totient function” in Simple English Wikipedia has 19.5 points for quality (as of July 1, 2026). The article contains 3 references and 2 sections.

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

Achievements in all the time:
Simple English Wikipedia:
The 7832nd most popular in Simple English Wikipedia.

Since the creation of article “Euler's totient function”, its content was written by 12 registered users of Simple English Wikipedia and edited by 1399 registered Wikipedia users in all languages.

The article is cited 30 times in Simple English Wikipedia and cited 6824 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Simple English): #1058 in August 2011
  • Global: #518 in December 2001

The highest popularity rank from 2008:

  • Local (Simple English): #2878 in May 2017
  • Global: #24036 in December 2013

There are 38 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Euler's totient function
68.0015
2Spanish (es)
Función φ de Euler
57.7797
3Galician (gl)
Función totiente de Euler
52.2346
4Chinese (zh)
欧拉函数
45.8701
5Russian (ru)
Функция Эйлера
43.5949
6Greek (el)
Συνάρτηση Όιλερ
39.182
7Hungarian (hu)
Euler-függvény
37.922
8French (fr)
Indicatrice d'Euler
33.5927
9Indonesian (id)
Fungsi phi Euler
33.3104
10Tamil (ta)
ஆய்லரின் டோஷண்ட் சார்பு
32.9617
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 "Euler's totient function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Euler's totient function
4 644 896
2German (de)
Eulersche Phi-Funktion
953 726
3Russian (ru)
Функция Эйлера
906 251
4Spanish (es)
Función φ de Euler
502 600
5French (fr)
Indicatrice d'Euler
476 022
6Japanese (ja)
オイラーのφ関数
448 084
7Chinese (zh)
欧拉函数
374 025
8Polish (pl)
Funkcja φ
331 745
9Italian (it)
Funzione φ di Eulero
316 873
10Korean (ko)
오일러 피 함수
184 676
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2026

The most popular language versions of the article "Euler's totient function" in June 2026
#LanguagePopularity awardRelative popularity
1English (en)
Euler's totient function
10 472
2Russian (ru)
Функция Эйлера
1 938
3German (de)
Eulersche Phi-Funktion
1 707
4French (fr)
Indicatrice d'Euler
1 470
5Japanese (ja)
オイラーのφ関数
1 221
6Spanish (es)
Función φ de Euler
895
7Chinese (zh)
欧拉函数
893
8Italian (it)
Funzione φ di Eulero
707
9Polish (pl)
Funkcja φ
627
10Vietnamese (vi)
Hàm phi Euler
395
More...

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

The highest AI

Language versions of the article "Euler's totient function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Euler's totient function
309
2German (de)
Eulersche Phi-Funktion
131
3French (fr)
Indicatrice d'Euler
120
4Italian (it)
Funzione φ di Eulero
86
5Russian (ru)
Функция Эйлера
78
6Dutch (nl)
Indicator (getaltheorie)
55
7Spanish (es)
Función φ de Euler
54
8Japanese (ja)
オイラーのφ関数
53
9Polish (pl)
Funkcja φ
51
10Hungarian (hu)
Euler-függvény
39
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 2026

Language versions of the article "Euler's totient function" with the highest AI in June 2026
#LanguageAI awardRelative AI
1English (en)
Euler's totient function
2
2Arabic (ar)
مؤشر أويلر
1
3Danish (da)
Eulers totientfunktion
1
4Basque (eu)
Eulerren φ funtzioa
1
5Italian (it)
Funzione φ di Eulero
1
6Polish (pl)
Funkcja φ
1
7Bulgarian (bg)
Функция на Ойлер
0
8Catalan (ca)
Funció φ d'Euler
0
9Czech (cs)
Eulerova funkce
0
10German (de)
Eulersche Phi-Funktion
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 "Euler's totient function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Italian (it)
Funzione φ di Eulero
1 803
2Hungarian (hu)
Euler-függvény
1 542
3Korean (ko)
오일러 피 함수
683
4English (en)
Euler's totient function
449
5Polish (pl)
Funkcja φ
411
6Slovenian (sl)
Eulerjeva funkcija fi
252
7Spanish (es)
Función φ de Euler
219
8Ukrainian (uk)
Функція Ейлера
143
9French (fr)
Indicatrice d'Euler
139
10Portuguese (pt)
Função totiente de Euler
121
More...

Scores

Estimated value for Wikipedia:
Simple English:
Global:
Popularity in June 2026:
Simple English:
Global:
Popularity in all years:
Simple English:
Global:
Authors in June 2026:
Simple English:
Global:
Registered authors in all years:
Simple English:
Global:
Citations:
Simple English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مؤشر أويلر
bgBulgarian
Функция на Ойлер
caCatalan
Funció φ d'Euler
csCzech
Eulerova funkce
daDanish
Eulers totientfunktion
deGerman
Eulersche Phi-Funktion
elGreek
Συνάρτηση Όιλερ
enEnglish
Euler's totient function
eoEsperanto
Funkcio φ
esSpanish
Función φ de Euler
euBasque
Eulerren φ funtzioa
faPersian
تابع فی اویلر
fiFinnish
Eulerin φ-funktio
frFrench
Indicatrice d'Euler
glGalician
Función totiente de Euler
heHebrew
פונקציית אוילר
hrCroatian
Eulerova funkcija
huHungarian
Euler-függvény
idIndonesian
Fungsi phi Euler
itItalian
Funzione φ di Eulero
jaJapanese
オイラーのφ関数
kkKazakh
Эйлер функциясы
koKorean
오일러 피 함수
nlDutch
Indicator (getaltheorie)
noNorwegian
Eulers totientfunksjon
plPolish
Funkcja φ
ptPortuguese
Função totiente de Euler
roRomanian
Indicatorul lui Euler
ruRussian
Функция Эйлера
simpleSimple English
Euler's totient function
slSlovenian
Eulerjeva funkcija fi
srSerbian
Ојлерова фи функција
svSwedish
Eulers fi-funktion
taTamil
ஆய்லரின் டோஷண்ட் சார்பு
trTurkish
Totient
ukUkrainian
Функція Ейлера
viVietnamese
Hàm phi Euler
zhChinese
欧拉函数

Popularity rank trends

Best Rank Simple English:
#2878
05.2017
Global:
#24036
12.2013

AI rank trends

Best Rank Simple English:
#1058
08.2011
Global:
#518
12.2001

Local popularity rank history

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2025 – June 2026)

Wikipedia readers most often find their way to information on Euler's totient function from Wikipedia articles about Eulers theorem, RSA cryptosystem, Modular arithmetic, Φ/φ and Fermats little theorem. Whereas reading the article about Euler's totient function people most often go to Wikipedia articles on Coprime, Eulers theorem, Chinese remainder theorem, RSA cryptosystem and Fermats little theorem.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 1 July 2026

On 1 July 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: 2026 FIFA World Cup, Kylian Mbappé, Erling Haaland, Democratic Republic of the Congo, FIFA World Cup, Harry Kane, Romelu Lukaku, Senegal, Michael Olise, Sadio Mané.

In Simple English Wikipedia the most popular articles on that day were: List of European countries, Black, List of sex positions, 2026 Iran war, Suresh Raina, Politics of Germany, Academy Award for Best Director, 2020, DYSS-TV, 2022.

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 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