Теоремы Мертенса

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Теоремы Мертенса

Quality:

Mertens' theorems - series of three theorems about the density of prime numbers. Article "Теоремы Мертенса" in Russian Wikipedia has 20 points for quality (as of August 1, 2024). The article contains 8 references and 8 sections. The article also contains quality flaw template, which reduce quality score.

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

Since the creation of article "Теоремы Мертенса", its content was written by 5 registered users of Russian Wikipedia and edited by 132 registered Wikipedia users in all languages.

The article is cited 1 times in Russian Wikipedia and cited 70 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Russian): #37388 in January 2024
  • Global: #120207 in November 2011

The highest popularity rank from 2008:

  • Local (Russian): #362751 in January 2020
  • Global: #747692 in July 2024

There are 13 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 August 1, 2024 (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
1Chinese (zh)
梅滕斯定理
29.784
2German (de)
Satz von Mertens (Zahlentheorie)
27.818
3English (en)
Mertens' theorems
24.9882
4Italian (it)
Teoremi di Mertens
21.621
5Russian (ru)
Теоремы Мертенса
20.0382
6Korean (ko)
메르텐스 정리 (수론)
14.7095
7Arabic (ar)
مبرهنات ميرتنز
13.536
8French (fr)
Théorème de Mertens
11.8412
9Polish (pl)
Twierdzenia Mertensa
5.1716
10Spanish (es)
Teoremas de Mertens
5.1627
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 "Теоремы Мертенса" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Mertens' theorems
146 355
2French (fr)
Théorème de Mertens
19 858
3Spanish (es)
Teoremas de Mertens
12 908
4German (de)
Satz von Mertens (Zahlentheorie)
11 775
5Japanese (ja)
メルテンスの定理
10 784
6Italian (it)
Teoremi di Mertens
9 680
7Russian (ru)
Теоремы Мертенса
6 685
8Polish (pl)
Twierdzenia Mertensa
4 197
9Arabic (ar)
مبرهنات ميرتنز
2 337
10Korean (ko)
메르텐스 정리 (수론)
2 107
More...

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

Most popular in July 2024

The most popular language versions of the article "Теоремы Мертенса" in July 2024
#LanguagePopularity awardRelative popularity
1English (en)
Mertens' theorems
1 498
2Chinese (zh)
梅滕斯定理
170
3Japanese (ja)
メルテンスの定理
156
4Russian (ru)
Теоремы Мертенса
85
5French (fr)
Théorème de Mertens
82
6German (de)
Satz von Mertens (Zahlentheorie)
70
7Spanish (es)
Teoremas de Mertens
56
8Italian (it)
Teoremi di Mertens
46
9Korean (ko)
메르텐스 정리 (수론)
31
10Polish (pl)
Twierdzenia Mertensa
10
More...

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

The highest AI

Language versions of the article "Теоремы Мертенса" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Mertens' theorems
41
2French (fr)
Théorème de Mertens
26
3Italian (it)
Teoremi di Mertens
19
4German (de)
Satz von Mertens (Zahlentheorie)
9
5Korean (ko)
메르텐스 정리 (수론)
9
6Spanish (es)
Teoremas de Mertens
5
7Japanese (ja)
メルテンスの定理
5
8Russian (ru)
Теоремы Мертенса
5
9Polish (pl)
Twierdzenia Mertensa
4
10Arabic (ar)
مبرهنات ميرتنز
3
More...

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

The highest AI in July 2024

Language versions of the article "Теоремы Мертенса" with the highest AI in July 2024
#LanguageAI awardRelative AI
1English (en)
Mertens' theorems
1
2Arabic (ar)
مبرهنات ميرتنز
0
3German (de)
Satz von Mertens (Zahlentheorie)
0
4Spanish (es)
Teoremas de Mertens
0
5French (fr)
Théorème de Mertens
0
6Italian (it)
Teoremi di Mertens
0
7Japanese (ja)
メルテンスの定理
0
8Korean (ko)
메르텐스 정리 (수론)
0
9Polish (pl)
Twierdzenia Mertensa
0
10Russian (ru)
Теоремы Мертенса
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 "Теоремы Мертенса" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Mertens' theorems
20
2Spanish (es)
Teoremas de Mertens
11
3French (fr)
Théorème de Mertens
8
4Ukrainian (uk)
Теореми Мертенса
6
5German (de)
Satz von Mertens (Zahlentheorie)
5
6Italian (it)
Teoremi di Mertens
4
7Korean (ko)
메르텐스 정리 (수론)
4
8Arabic (ar)
مبرهنات ميرتنز
3
9Swedish (sv)
Mertens sats
3
10Chinese (zh)
梅滕斯定理
3
More...

Scores

Estimated value for Wikipedia:
Russian:
Global:
Popularity in July 2024:
Russian:
Global:
Popularity in all years:
Russian:
Global:
Authors in July 2024:
Russian:
Global:
Registered authors in all years:
Russian:
Global:
Citations:
Russian:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
مبرهنات ميرتنز
deGerman
Satz von Mertens (Zahlentheorie)
enEnglish
Mertens' theorems
esSpanish
Teoremas de Mertens
frFrench
Théorème de Mertens
itItalian
Teoremi di Mertens
jaJapanese
メルテンスの定理
koKorean
메르텐스 정리 (수론)
plPolish
Twierdzenia Mertensa
ruRussian
Теоремы Мертенса
svSwedish
Mertens sats
ukUkrainian
Теореми Мертенса
zhChinese
梅滕斯定理

Popularity rank trends

Best Rank Russian:
#362751
01.2020
Global:
#747692
07.2024

AI rank trends

Best Rank Russian:
#37388
01.2024
Global:
#120207
11.2011

Languages comparison

Important global interconnections

Wikipedia readers most often find their way to information on Mertens' theorems from Wikipedia articles about Euler–Mascheroni constant, Meissel–Mertens constant, Franz Mertens, Cauchy product and Sieve of Eratosthenes. Whereas reading the article about Mertens' theorems people most often go to Wikipedia articles on Meissel–Mertens constant, Cauchy product, Franz Mertens, Euler–Mascheroni constant and Prime number 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 18 September 2024

On 18 September 2024 in multilingual Wikipedia, Internet users most often read articles on the following topics: pager, Salvatore Schillaci, Hezbollah, UEFA Champions League, 2024–25 UEFA Champions League, 2024 Lebanon communication device explosions, Lyle and Erik Menéndez, Sean Combs, deaths in 2024, Shōgun.

In Russian Wikipedia the most popular articles on that day were: Яндекс, Торопец, Бакальчук, Татьяна Владимировна, Бакальчук, Владислав Сергеевич, Пейджер, Хезболла, Комбинация (группа), Wildberries, YouTube, Взрывы коммуникационных устройств «Хезболлы».

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 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from August, 2024. When calculating current popularity and AI of articles data from July 2024 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2023... More information