Divergence of the sum of the reciprocals of the primes

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Divergence of the sum of the reciprocals of the primes

Quality:

Divergence of the sum of the reciprocals of the primes - theorem. Article "Divergence of the sum of the reciprocals of the primes" in English Wikipedia has 29.2 points for quality (as of July 1, 2025). The article contains 6 references and 11 sections.

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

Since the creation of article "Divergence of the sum of the reciprocals of the primes", its content was written by 107 registered users of English Wikipedia and edited by 275 registered Wikipedia users in all languages.

The article is cited 91 times in English Wikipedia and cited 395 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2426 in June 2003
  • Global: #4537 in June 2003

The highest popularity rank from 2008:

  • Local (English): #159533 in December 2016
  • Global: #236333 in June 2009

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 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1German (de)
Satz von Euler (Primzahlen)
29.9239
2English (en)
Divergence of the sum of the reciprocals of the primes
29.1648
3French (fr)
Série des inverses des nombres premiers
20.4435
4Ukrainian (uk)
Ряд обернених до простих чисел
19.734
5Russian (ru)
Ряд обратных простых чисел
17.971
6Arabic (ar)
انحراف مجموع مقلوبات الأعداد الأولية
12.9182
7Italian (it)
Dimostrazione della divergenza della serie dei reciproci dei primi
12.6203
8Hebrew (he)
טור ההופכיים של המספרים הראשוניים
12.3429
9Catalan (ca)
Sèrie dels inversos dels nombres primers
8.2669
10Spanish (es)
Serie de los inversos de los números primos
7.8787
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 "Divergence of the sum of the reciprocals of the primes" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Divergence of the sum of the reciprocals of the primes
514 832
2French (fr)
Série des inverses des nombres premiers
65 656
3Spanish (es)
Serie de los inversos de los números primos
59 582
4German (de)
Satz von Euler (Primzahlen)
40 326
5Chinese (zh)
素数的倒数之和
28 142
6Russian (ru)
Ряд обратных простых чисел
24 995
7Italian (it)
Dimostrazione della divergenza della serie dei reciproci dei primi
23 389
8Korean (ko)
소수의 역수의 합의 발산성
20 181
9Portuguese (pt)
Série dos inversos dos primos
14 311
10Hebrew (he)
טור ההופכיים של המספרים הראשוניים
12 686
More...

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

Most popular in June 2025

The most popular language versions of the article "Divergence of the sum of the reciprocals of the primes" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Divergence of the sum of the reciprocals of the primes
2 494
2French (fr)
Série des inverses des nombres premiers
349
3Russian (ru)
Ряд обратных простых чисел
216
4German (de)
Satz von Euler (Primzahlen)
162
5Chinese (zh)
素数的倒数之和
91
6Spanish (es)
Serie de los inversos de los números primos
83
7Korean (ko)
소수의 역수의 합의 발산성
74
8Hebrew (he)
טור ההופכיים של המספרים הראשוניים
59
9Italian (it)
Dimostrazione della divergenza della serie dei reciproci dei primi
47
10Portuguese (pt)
Série dos inversos dos primos
47
More...

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

The highest AI

Language versions of the article "Divergence of the sum of the reciprocals of the primes" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Divergence of the sum of the reciprocals of the primes
107
2French (fr)
Série des inverses des nombres premiers
46
3Italian (it)
Dimostrazione della divergenza della serie dei reciproci dei primi
29
4German (de)
Satz von Euler (Primzahlen)
22
5Spanish (es)
Serie de los inversos de los números primos
19
6Hebrew (he)
טור ההופכיים של המספרים הראשוניים
14
7Russian (ru)
Ряд обратных простых чисел
8
8Korean (ko)
소수의 역수의 합의 발산성
7
9Chinese (zh)
素数的倒数之和
6
10Portuguese (pt)
Série dos inversos dos primos
5
More...

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

The highest AI in June 2025

Language versions of the article "Divergence of the sum of the reciprocals of the primes" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
انحراف مجموع مقلوبات الأعداد الأولية
0
2Catalan (ca)
Sèrie dels inversos dels nombres primers
0
3German (de)
Satz von Euler (Primzahlen)
0
4English (en)
Divergence of the sum of the reciprocals of the primes
0
5Spanish (es)
Serie de los inversos de los números primos
0
6French (fr)
Série des inverses des nombres premiers
0
7Hebrew (he)
טור ההופכיים של המספרים הראשוניים
0
8Italian (it)
Dimostrazione della divergenza della serie dei reciproci dei primi
0
9Korean (ko)
소수의 역수의 합의 발산성
0
10Portuguese (pt)
Série dos inversos dos primos
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 "Divergence of the sum of the reciprocals of the primes" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Divergence of the sum of the reciprocals of the primes
91
2Italian (it)
Dimostrazione della divergenza della serie dei reciproci dei primi
49
3Russian (ru)
Ряд обратных простых чисел
45
4Ukrainian (uk)
Ряд обернених до простих чисел
44
5Korean (ko)
소수의 역수의 합의 발산성
39
6Arabic (ar)
انحراف مجموع مقلوبات الأعداد الأولية
33
7French (fr)
Série des inverses des nombres premiers
20
8Spanish (es)
Serie de los inversos de los números primos
17
9Hebrew (he)
טור ההופכיים של המספרים הראשוניים
16
10Chinese (zh)
素数的倒数之和
13
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
انحراف مجموع مقلوبات الأعداد الأولية
caCatalan
Sèrie dels inversos dels nombres primers
deGerman
Satz von Euler (Primzahlen)
enEnglish
Divergence of the sum of the reciprocals of the primes
esSpanish
Serie de los inversos de los números primos
frFrench
Série des inverses des nombres premiers
heHebrew
טור ההופכיים של המספרים הראשוניים
itItalian
Dimostrazione della divergenza della serie dei reciproci dei primi
koKorean
소수의 역수의 합의 발산성
ptPortuguese
Série dos inversos dos primos
ruRussian
Ряд обратных простых чисел
ukUkrainian
Ряд обернених до простих чисел
zhChinese
素数的倒数之和

Popularity rank trends

Best Rank English:
#159533
12.2016
Global:
#236333
06.2009

AI rank trends

Best Rank English:
#2426
06.2003
Global:
#4537
06.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Divergence of the sum of the reciprocals of the primes from Wikipedia articles about Harmonic series, Sieve of Eratosthenes, Prime number, Reciprocals of primes and Bruns theorem. Whereas reading the article about Divergence of the sum of the reciprocals of the primes people most often go to Wikipedia articles on Meissel–Mertens constant, Riemann zeta function, Harmonic series, Euclids theorem and List of sums of reciprocals.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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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 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