Euler's identity

Euler's identity - e ^ (πi) + 1 = 0. Article “Euler's identity” in English Wikipedia has 43.8 points for quality (as of July 1, 2025). The article contains 19 references and 11 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.

In June 2025 the article “Euler's identity” was edited by 2 authors in English Wikipedia and written by 6 authors in all languages.

Since the creation of article “Euler's identity”, its content was written by 359 registered users of English Wikipedia and edited by 1079 registered Wikipedia users in all languages.

The article is cited 116 times in English Wikipedia and cited 666 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #117 in July 2001
• Global: #124 in July 2001

The highest popularity rank from 2008:

• Local (English): #11081 in April 2013
• Global: #16088 in April 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, 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	English (en) Euler's identity		43.8098
2	Tamil (ta) ஆய்லரின் முற்றொருமை		42.485
3	Turkish (tr) Euler özdeşliği		34.895
4	Basque (eu) Eulerren identitatea		34.8739
5	Serbian (sr) Ојлеров идентитет		30.9886
6	Spanish (es) Identidad de Euler		27.1088
7	Thai (th) เอกลักษณ์ของอ็อยเลอร์		26.8636
8	Indonesian (id) Identitas Euler		26.8473
9	Russian (ru) Тождество Эйлера (комплексный анализ)		26.6829
10	Armenian (hy) Էյլերի նույնություն		26.5081

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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 identity" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Euler's identity		6 951 442
2	Japanese (ja) オイラーの等式		990 121
3	Spanish (es) Identidad de Euler		954 135
4	Italian (it) Identità di Eulero		401 879
5	Russian (ru) Тождество Эйлера (комплексный анализ)		389 079
6	French (fr) Identité d'Euler		323 791
7	Chinese (zh) 歐拉恆等式		313 955
8	Portuguese (pt) Identidade de Euler		249 512
9	Hebrew (he) זהות אוילר		118 692
10	Korean (ko) 오일러 항등식		118 064

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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 identity" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Euler's identity		21 747
2	Japanese (ja) オイラーの等式		3 201
3	Russian (ru) Тождество Эйлера (комплексный анализ)		2 306
4	Spanish (es) Identidad de Euler		1 803
5	French (fr) Identité d'Euler		1 466
6	Chinese (zh) 歐拉恆等式		1 377
7	Portuguese (pt) Identidade de Euler		1 228
8	Italian (it) Identità di Eulero		1 214
9	Korean (ko) 오일러 항등식		784
10	Hebrew (he) זהות אוילר		516

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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 identity" 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 identity		359
2	French (fr) Identité d'Euler		82
3	Spanish (es) Identidad de Euler		67
4	Italian (it) Identità di Eulero		57
5	Hebrew (he) זהות אוילר		38
6	Japanese (ja) オイラーの等式		32
7	Russian (ru) Тождество Эйлера (комплексный анализ)		29
8	Portuguese (pt) Identidade de Euler		26
9	Catalan (ca) Identitat d'Euler		25
10	Simple English (simple) Euler's identity		25

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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 identity" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Euler's identity		2
2	Arabic (ar) متطابقة أويلر		1
3	Galician (gl) Identidade de Euler		1
4	Hebrew (he) זהות אוילר		1
5	Italian (it) Identità di Eulero		1
6	Bulgarian (bg) Равенство на Ойлер		0
7	Catalan (ca) Identitat d'Euler		0
8	Czech (cs) Eulerova rovnost		0
9	Greek (el) Ταυτότητα του Όιλερ		0
10	Esperanto (eo) Eŭlera idento		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 identity" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Euler's identity		116
2	French (fr) Identité d'Euler		39
3	Chinese (zh) 歐拉恆等式		37
4	Hebrew (he) זהות אוילר		28
5	Italian (it) Identità di Eulero		25
6	Japanese (ja) オイラーの等式		24
7	Arabic (ar) متطابقة أويلر		23
8	Slovenian (sl) Eulerjeva enačba		23
9	Portuguese (pt) Identidade de Euler		22
10	Greek (el) Ταυτότητα του Όιλερ		21

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#	Language	Value
ar	Arabic متطابقة أويلر
bg	Bulgarian Равенство на Ойлер
ca	Catalan Identitat d'Euler
cs	Czech Eulerova rovnost
el	Greek Ταυτότητα του Όιλερ
en	English Euler's identity
eo	Esperanto Eŭlera idento
es	Spanish Identidad de Euler
eu	Basque Eulerren identitatea
fa	Persian اتحاد اویلر
fi	Finnish Eulerin identiteetti
fr	French Identité d'Euler
gl	Galician Identidade de Euler
he	Hebrew זהות אוילר
hi	Hindi आयलर सर्वसमिका
hr	Croatian Eulerov identitet
hu	Hungarian Euler-összefüggés
hy	Armenian Էյլերի նույնություն
id	Indonesian Identitas Euler
it	Italian Identità di Eulero
ja	Japanese オイラーの等式
ko	Korean 오일러 항등식
la	Latin Euleri identitas
ms	Malay Identiti Euler
nl	Dutch Identiteit van Euler
no	Norwegian Eulers likhet
pt	Portuguese Identidade de Euler
ru	Russian Тождество Эйлера (комплексный анализ)
simple	Simple English Euler's identity
sl	Slovenian Eulerjeva enačba
sr	Serbian Ојлеров идентитет
sv	Swedish Eulers identitet
ta	Tamil ஆய்லரின் முற்றொருமை
th	Thai เอกลักษณ์ของอ็อยเลอร์
tr	Turkish Euler özdeşliği
uk	Ukrainian Тотожність Ейлера
vi	Vietnamese Đồng nhất thức Euler
zh	Chinese 歐拉恆等式

Best Rank

English: #11081 04.2013

Global: #16088 04.2013

Best Rank

English: #117 07.2001

Global: #124 07.2001

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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