Proof that e is irrational

Proof that e is irrational - mathematical proof that Euler's number (e) is irrational. Article “Proof that e is irrational” in English Wikipedia has 28.7 points for quality (as of July 1, 2025). The article contains 14 references and 6 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 “Proof that e is irrational” was edited by 1 authors in English Wikipedia and written by 1 authors in all languages.

Since the creation of article “Proof that e is irrational”, its content was written by 93 registered users of English Wikipedia and edited by 248 registered Wikipedia users in all languages.

The article is cited 18 times in English Wikipedia and cited 91 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #11610 in February 2004
• Global: #26038 in January 2005

The highest popularity rank from 2008:

• Local (English): #199869 in March 2008
• Global: #191393 in February 2008

There are 12 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) Proof that e is irrational		28.7166
2	Russian (ru) Доказательство иррациональности e		25.0937
3	German (de) Beweis der Irrationalität der eulerschen Zahl		24.6871
4	Indonesian (id) Bukti bahwa e irasional		23.9928
5	Italian (it) Dimostrazione della irrazionalità di e		23.5532
6	Portuguese (pt) Prova de que e é irracional		16.742
7	Hungarian (hu) Az e irracionálisságának bizonyítása		14.8863
8	Catalan (ca) Demostració que e és irracional		8.0358
9	Japanese (ja) ネイピア数の無理性の証明		7.9927
10	Vietnamese (vi) Chứng minh e là số vô tỉ		4.0505

More...

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

The most popular language versions of the article "Proof that e is irrational" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Proof that e is irrational		497 054
2	Japanese (ja) ネイピア数の無理性の証明		113 855
3	Spanish (es) Demostración de la irracionalidad de e		52 317
4	German (de) Beweis der Irrationalität der eulerschen Zahl		44 530
5	Portuguese (pt) Prova de que e é irracional		44 482
6	Italian (it) Dimostrazione della irrazionalità di e		28 079
7	Vietnamese (vi) Chứng minh e là số vô tỉ		10 645
8	Russian (ru) Доказательство иррациональности e		9 513
9	Arabic (ar) إثبات أن عدد أويلر غير كسري		7 347
10	Hungarian (hu) Az e irracionálisságának bizonyítása		5 156

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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 "Proof that e is irrational" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Proof that e is irrational		1 320
2	Japanese (ja) ネイピア数の無理性の証明		289
3	German (de) Beweis der Irrationalität der eulerschen Zahl		84
4	Russian (ru) Доказательство иррациональности e		77
5	Spanish (es) Demostración de la irracionalidad de e		56
6	Italian (it) Dimostrazione della irrazionalità di e		51
7	Vietnamese (vi) Chứng minh e là số vô tỉ		44
8	Portuguese (pt) Prova de que e é irracional		39
9	Hungarian (hu) Az e irracionálisságának bizonyítása		23
10	Arabic (ar) إثبات أن عدد أويلر غير كسري		9

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

Language versions of the article "Proof that e is irrational" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Proof that e is irrational		93
2	German (de) Beweis der Irrationalität der eulerschen Zahl		36
3	Italian (it) Dimostrazione della irrazionalità di e		29
4	Spanish (es) Demostración de la irracionalidad de e		16
5	Hungarian (hu) Az e irracionálisságának bizonyítása		15
6	Vietnamese (vi) Chứng minh e là số vô tỉ		13
7	Arabic (ar) إثبات أن عدد أويلر غير كسري		11
8	Japanese (ja) ネイピア数の無理性の証明		11
9	Catalan (ca) Demostració que e és irracional		10
10	Portuguese (pt) Prova de que e é irracional		9

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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 "Proof that e is irrational" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Proof that e is irrational		1
2	Arabic (ar) إثبات أن عدد أويلر غير كسري		0
3	Catalan (ca) Demostració que e és irracional		0
4	German (de) Beweis der Irrationalität der eulerschen Zahl		0
5	Spanish (es) Demostración de la irracionalidad de e		0
6	Hungarian (hu) Az e irracionálisságának bizonyítása		0
7	Indonesian (id) Bukti bahwa e irasional		0
8	Italian (it) Dimostrazione della irrazionalità di e		0
9	Japanese (ja) ネイピア数の無理性の証明		0
10	Portuguese (pt) Prova de que e é irracional		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Proof that e is irrational" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Proof that e is irrational		18
2	Spanish (es) Demostración de la irracionalidad de e		11
3	Indonesian (id) Bukti bahwa e irasional		10
4	Vietnamese (vi) Chứng minh e là số vô tỉ		10
5	Arabic (ar) إثبات أن عدد أويلر غير كسري		8
6	Japanese (ja) ネイピア数の無理性の証明		8
7	Portuguese (pt) Prova de que e é irracional		8
8	Italian (it) Dimostrazione della irrazionalità di e		5
9	Catalan (ca) Demostració que e és irracional		4
10	German (de) Beweis der Irrationalität der eulerschen Zahl		4

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#	Language	Value
ar	Arabic إثبات أن عدد أويلر غير كسري
ca	Catalan Demostració que e és irracional
de	German Beweis der Irrationalität der eulerschen Zahl
en	English Proof that e is irrational
es	Spanish Demostración de la irracionalidad de e
hu	Hungarian Az e irracionálisságának bizonyítása
id	Indonesian Bukti bahwa e irasional
it	Italian Dimostrazione della irrazionalità di e
ja	Japanese ネイピア数の無理性の証明
pt	Portuguese Prova de que e é irracional
ru	Russian Доказательство иррациональности e
vi	Vietnamese Chứng minh e là số vô tỉ

Best Rank

English: #199869 03.2008

Global: #191393 02.2008

Best Rank

English: #11610 02.2004

Global: #26038 01.2005

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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