素数が無数に存在することの証明

Euclid's theorem - theorem that the number of prime numbers is infinite. Article “素数が無数に存在することの証明” in Japanese Wikipedia has 18.1 points for quality (as of July 1, 2025). The article contains 13 references and 11 sections.

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

Since the creation of article “素数が無数に存在することの証明”, its content was written by 13 registered users of Japanese Wikipedia and edited by 560 registered Wikipedia users in all languages.

The article is cited 15 times in Japanese Wikipedia and cited 965 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Japanese): #10459 in July 2013
• Global: #4094 in January 2004

The highest popularity rank from 2008:

• Local (Japanese): #29879 in July 2013
• Global: #76986 in October 2024

There are 26 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	German (de) Satz des Euklid		92.9476
2	English (en) Euclid's theorem		42.5281
3	Greek (el) Θεώρημα του Ευκλείδη		40.4502
4	Chinese (zh) 欧几里得定理		33.8633
5	Turkish (tr) Öklid teoremi		33.7045
6	Ukrainian (uk) Теорема Евкліда		32.0435
7	Armenian (hy) Էվկլիդեսի թեորեմ		31.2137
8	Galician (gl) Teorema de Euclides		28.5033
9	Russian (ru) Теорема Евклида		28.4551
10	French (fr) Théorème d'Euclide sur les nombres premiers		27.5865

More...

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

The most popular language versions of the article "素数が無数に存在することの証明" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Euclid's theorem		1 162 924
2	Spanish (es) Teorema de Euclides		614 190
3	German (de) Satz des Euklid		460 954
4	French (fr) Théorème d'Euclide sur les nombres premiers		238 450
5	Japanese (ja) 素数が無数に存在することの証明		234 855
6	Italian (it) Teorema dell'infinità dei numeri primi		173 643
7	Portuguese (pt) Teorema de Euclides		125 810
8	Russian (ru) Теорема Евклида		106 294
9	Dutch (nl) Stelling van Euclides		52 435
10	Chinese (zh) 欧几里得定理		52 331

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 "素数が無数に存在することの証明" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Euclid's theorem		6 711
2	German (de) Satz des Euklid		1 488
3	Japanese (ja) 素数が無数に存在することの証明		1 271
4	French (fr) Théorème d'Euclide sur les nombres premiers		819
5	Russian (ru) Теорема Евклида		718
6	Italian (it) Teorema dell'infinità dei numeri primi		410
7	Spanish (es) Teorema de Euclides		348
8	Turkish (tr) Öklid teoremi		315
9	Chinese (zh) 欧几里得定理		253
10	Dutch (nl) Stelling van Euclides		236

More...

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

Language versions of the article "素数が無数に存在することの証明" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Euclid's theorem		139
2	German (de) Satz des Euklid		98
3	Spanish (es) Teorema de Euclides		53
4	French (fr) Théorème d'Euclide sur les nombres premiers		46
5	Italian (it) Teorema dell'infinità dei numeri primi		45
6	Hebrew (he) קיומם של אינסוף מספרים ראשוניים		37
7	Dutch (nl) Stelling van Euclides		21
8	Russian (ru) Теорема Евклида		17
9	Arabic (ar) مبرهنة إقليدس		15
10	Japanese (ja) 素数が無数に存在することの証明		13

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 "素数が無数に存在することの証明" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Satz des Euklid		2
2	Greek (el) Θεώρημα του Ευκλείδη		1
3	Spanish (es) Teorema de Euclides		1
4	French (fr) Théorème d'Euclide sur les nombres premiers		1
5	Italian (it) Teorema dell'infinità dei numeri primi		1
6	Portuguese (pt) Teorema de Euclides		1
7	Arabic (ar) مبرهنة إقليدس		0
8	Catalan (ca) Teorema d'Euclides		0
9	Czech (cs) Eukleidova věta o prvočíslech		0
10	English (en) Euclid's theorem		0

More...

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

Language versions of the article "素数が無数に存在することの証明" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Italian (it) Teorema dell'infinità dei numeri primi		229
2	English (en) Euclid's theorem		211
3	Turkish (tr) Öklid teoremi		134
4	Portuguese (pt) Teorema de Euclides		66
5	Chinese (zh) 欧几里得定理		57
6	Korean (ko) 유클리드의 정리		32
7	French (fr) Théorème d'Euclide sur les nombres premiers		31
8	Serbian (sr) Еуклидова теорема		30
9	German (de) Satz des Euklid		28
10	Spanish (es) Teorema de Euclides		28

More...

#	Language	Value
ar	Arabic مبرهنة إقليدس
ca	Catalan Teorema d'Euclides
cs	Czech Eukleidova věta o prvočíslech
de	German Satz des Euklid
el	Greek Θεώρημα του Ευκλείδη
en	English Euclid's theorem
es	Spanish Teorema de Euclides
eu	Basque Euklidesen teorema
fa	Persian قضیه اقلیدس
fr	French Théorème d'Euclide sur les nombres premiers
gl	Galician Teorema de Euclides
he	Hebrew קיומם של אינסוף מספרים ראשוניים
hy	Armenian Էվկլիդեսի թեորեմ
it	Italian Teorema dell'infinità dei numeri primi
ja	Japanese 素数が無数に存在することの証明
ko	Korean 유클리드의 정리
lt	Lithuanian Euklido teorema
nl	Dutch Stelling van Euclides
pt	Portuguese Teorema de Euclides
ru	Russian Теорема Евклида
sr	Serbian Еуклидова теорема
sv	Swedish Euklides sats
tr	Turkish Öklid teoremi
uk	Ukrainian Теорема Евкліда
vi	Vietnamese Định lý Euclid
zh	Chinese 欧几里得定理

Best Rank

Japanese: #29879 07.2013

Global: #76986 10.2024

Best Rank

Japanese: #10459 07.2013

Global: #4094 01.2004

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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