円周率の無理性の証明

Proof that π is irrational - mathematical proof. Article "円周率の無理性の証明" in Japanese Wikipedia has 17.3 points for quality (as of July 1, 2025). The article contains 12 references and 11 sections.

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

Since the creation of article "円周率の無理性の証明", its content was written by 24 registered users of Japanese Wikipedia and edited by 254 registered Wikipedia users in all languages.

The article is cited 23 times in Japanese Wikipedia and cited 213 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #4084 in November 2013
• Global: #33143 in April 2022

The highest popularity rank from 2008:

• Local (Japanese): #3605 in February 2008
• Global: #41345 in February 2008

There are 17 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 π is irrational		31.3316
2	Indonesian (id) Bukti bahwa π irasional		25.8324
3	Ukrainian (uk) Доказ ірраціональності числа пі		25.4753
4	Portuguese (pt) Prova da irracionalidade de π		24.4617
5	German (de) Beweis der Irrationalität von π		24.4221
6	French (fr) Preuve de l'irrationalité de π		22.8266
7	Persian (fa) اثبات گنگ بودن π		21.1679
8	Russian (ru) Доказательство иррациональности π		19.966
9	Japanese (ja) 円周率の無理性の証明		17.3273
10	Vietnamese (vi) Chứng minh π là số vô tỉ		13.9581

More...

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

The most popular language versions of the article "円周率の無理性の証明" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Proof that π is irrational		1 527 518
2	Japanese (ja) 円周率の無理性の証明		573 508
3	Spanish (es) Demostración de la irracionalidad de π		127 503
4	Portuguese (pt) Prova da irracionalidade de π		70 304
5	Korean (ko) 원주율의 무리성 증명		48 806
6	Italian (it) Dimostrazione della irrazionalità di π		40 252
7	Russian (ru) Доказательство иррациональности π		27 098
8	French (fr) Preuve de l'irrationalité de π		26 967
9	Arabic (ar) البرهان على أن باي عدد غير كسري		19 884
10	Chinese (zh) 证明π是无理数		16 329

More...

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 "円周率の無理性の証明" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Proof that π is irrational		6 101
2	Japanese (ja) 円周率の無理性の証明		2 458
3	French (fr) Preuve de l'irrationalité de π		696
4	Spanish (es) Demostración de la irracionalidad de π		553
5	Chinese (zh) 证明π是无理数		333
6	Russian (ru) Доказательство иррациональности π		329
7	Korean (ko) 원주율의 무리성 증명		251
8	Italian (it) Dimostrazione della irrazionalità di π		202
9	Portuguese (pt) Prova da irracionalidade de π		184
10	German (de) Beweis der Irrationalität von π		107

More...

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

Language versions of the article "円周率の無理性の証明" 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 π is irrational		121
2	Japanese (ja) 円周率の無理性の証明		24
3	Spanish (es) Demostración de la irracionalidad de π		19
4	Italian (it) Dimostrazione della irrazionalità di π		14
5	Arabic (ar) البرهان على أن باي عدد غير كسري		13
6	Hungarian (hu) A pi irracionális voltának bizonyítása		12
7	Portuguese (pt) Prova da irracionalidade de π		10
8	Korean (ko) 원주율의 무리성 증명		8
9	German (de) Beweis der Irrationalität von π		7
10	Vietnamese (vi) Chứng minh π là số vô tỉ		7

More...

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

Language versions of the article "円周率の無理性の証明" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Proof that π is irrational		4
2	Russian (ru) Доказательство иррациональности π		2
3	German (de) Beweis der Irrationalität von π		1
4	Arabic (ar) البرهان على أن باي عدد غير كسري		0
5	Spanish (es) Demostración de la irracionalidad de π		0
6	Persian (fa) اثبات گنگ بودن π		0
7	French (fr) Preuve de l'irrationalité de π		0
8	Hebrew (he) אי-רציונליות של פאי		0
9	Hungarian (hu) A pi irracionális voltának bizonyítása		0
10	Indonesian (id) Bukti bahwa π irasional		0

More...

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

Language versions of the article "円周率の無理性の証明" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Proof that π is irrational		51
2	Arabic (ar) البرهان على أن باي عدد غير كسري		29
3	Chinese (zh) 证明π是无理数		26
4	Portuguese (pt) Prova da irracionalidade de π		25
5	Japanese (ja) 円周率の無理性の証明		23
6	Korean (ko) 원주율의 무리성 증명		11
7	Vietnamese (vi) Chứng minh π là số vô tỉ		9
8	Spanish (es) Demostración de la irracionalidad de π		8
9	Hungarian (hu) A pi irracionális voltának bizonyítása		6
10	Indonesian (id) Bukti bahwa π irasional		6

More...

#	Language	Value
ar	Arabic البرهان على أن باي عدد غير كسري
de	German Beweis der Irrationalität von π
en	English Proof that π is irrational
es	Spanish Demostración de la irracionalidad de π
fa	Persian اثبات گنگ بودن π
fr	French Preuve de l'irrationalité de π
he	Hebrew אי-רציונליות של פאי
hu	Hungarian A pi irracionális voltának bizonyítása
id	Indonesian Bukti bahwa π irasional
it	Italian Dimostrazione della irrazionalità di π
ja	Japanese 円周率の無理性の証明
ko	Korean 원주율의 무리성 증명
pt	Portuguese Prova da irracionalidade de π
ru	Russian Доказательство иррациональности π
uk	Ukrainian Доказ ірраціональності числа пі
vi	Vietnamese Chứng minh π là số vô tỉ
zh	Chinese 证明π是无理数

Best Rank

Japanese: #3605 02.2008

Global: #41345 02.2008

Best Rank

Japanese: #4084 11.2013

Global: #33143 04.2022

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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