On the Number of Primes Less Than a Given Magnitude

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On the Number of Primes Less Than a Given Magnitude

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On the Number of Primes Less Than a Given Magnitude - scientific article by Bernhard Riemann. Article “On the Number of Primes Less Than a Given Magnitude” in English Wikipedia has 9.3 points for quality (as of July 1, 2025). The article contains 0 references and 3 sections.

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

Since the creation of article “On the Number of Primes Less Than a Given Magnitude”, its content was written by 69 registered users of English Wikipedia and edited by 169 registered Wikipedia users in all languages.

The article is cited 24 times in English Wikipedia and cited 101 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #30255 in August 2012
  • Global: #70156 in May 2004

The highest popularity rank from 2008:

  • Local (English): #441835 in October 2010
  • Global: #194878 in November 2009

There are 10 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
1Japanese (ja)
与えられた数より小さい素数の個数について
16.9649
2English (en)
On the Number of Primes Less Than a Given Magnitude
9.2634
3Korean (ko)
주어진 수보다 작은 소수의 개수에 관하여
6.9613
4Dutch (nl)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
6.7819
5French (fr)
Sur le nombre de nombres premiers inférieurs à une taille donnée
6.619
6Spanish (es)
Sobre el número de primos menores que una magnitud dada
5.4176
7German (de)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
5.034
8Hebrew (he)
על מספר הראשוניים מתחת לגודל נתון
3.3799
9Italian (it)
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
2.1779
10Arabic (ar)
حول عدد الأعداد الأولية الأصغر من عدد ما
1.498
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 "On the Number of Primes Less Than a Given Magnitude" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
On the Number of Primes Less Than a Given Magnitude
207 928
2Japanese (ja)
与えられた数より小さい素数の個数について
115 284
3French (fr)
Sur le nombre de nombres premiers inférieurs à une taille donnée
18 495
4Korean (ko)
주어진 수보다 작은 소수의 개수에 관하여
17 042
5German (de)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
6 657
6Arabic (ar)
حول عدد الأعداد الأولية الأصغر من عدد ما
4 078
7Italian (it)
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
3 008
8Hebrew (he)
על מספר הראשוניים מתחת לגודל נתון
2 194
9Dutch (nl)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
1 580
10Spanish (es)
Sobre el número de primos menores que una magnitud dada
234
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 "On the Number of Primes Less Than a Given Magnitude" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
On the Number of Primes Less Than a Given Magnitude
1 429
2Japanese (ja)
与えられた数より小さい素数の個数について
220
3German (de)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
116
4French (fr)
Sur le nombre de nombres premiers inférieurs à une taille donnée
43
5Hebrew (he)
על מספר הראשוניים מתחת לגודל נתון
18
6Italian (it)
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
18
7Arabic (ar)
حول عدد الأعداد الأولية الأصغر من عدد ما
17
8Spanish (es)
Sobre el número de primos menores que una magnitud dada
16
9Korean (ko)
주어진 수보다 작은 소수의 개수에 관하여
16
10Dutch (nl)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
8
More...

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

The highest AI

Language versions of the article "On the Number of Primes Less Than a Given Magnitude" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
On the Number of Primes Less Than a Given Magnitude
69
2Japanese (ja)
与えられた数より小さい素数の個数について
28
3French (fr)
Sur le nombre de nombres premiers inférieurs à une taille donnée
21
4Korean (ko)
주어진 수보다 작은 소수의 개수에 관하여
12
5Hebrew (he)
על מספר הראשוניים מתחת לגודל נתון
10
6Arabic (ar)
حول عدد الأعداد الأولية الأصغر من عدد ما
8
7Italian (it)
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
8
8German (de)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
7
9Dutch (nl)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
4
10Spanish (es)
Sobre el número de primos menores que una magnitud dada
2
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 "On the Number of Primes Less Than a Given Magnitude" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
حول عدد الأعداد الأولية الأصغر من عدد ما
0
2German (de)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
0
3English (en)
On the Number of Primes Less Than a Given Magnitude
0
4Spanish (es)
Sobre el número de primos menores que una magnitud dada
0
5French (fr)
Sur le nombre de nombres premiers inférieurs à une taille donnée
0
6Hebrew (he)
על מספר הראשוניים מתחת לגודל נתון
0
7Italian (it)
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
0
8Japanese (ja)
与えられた数より小さい素数の個数について
0
9Korean (ko)
주어진 수보다 작은 소수의 개수에 관하여
0
10Dutch (nl)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
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 "On the Number of Primes Less Than a Given Magnitude" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1French (fr)
Sur le nombre de nombres premiers inférieurs à une taille donnée
30
2English (en)
On the Number of Primes Less Than a Given Magnitude
24
3Japanese (ja)
与えられた数より小さい素数の個数について
12
4German (de)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
9
5Dutch (nl)
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
8
6Hebrew (he)
על מספר הראשוניים מתחת לגודל נתון
5
7Arabic (ar)
حول عدد الأعداد الأولية الأصغر من عدد ما
4
8Spanish (es)
Sobre el número de primos menores que una magnitud dada
3
9Italian (it)
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
3
10Korean (ko)
주어진 수보다 작은 소수의 개수에 관하여
3
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
حول عدد الأعداد الأولية الأصغر من عدد ما
deGerman
Über die Anzahl der Primzahlen unter einer gegebenen Grösse
enEnglish
On the Number of Primes Less Than a Given Magnitude
esSpanish
Sobre el número de primos menores que una magnitud dada
frFrench
Sur le nombre de nombres premiers inférieurs à une taille donnée
heHebrew
על מספר הראשוניים מתחת לגודל נתון
itItalian
Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse
jaJapanese
与えられた数より小さい素数の個数について
koKorean
주어진 수보다 작은 소수의 개수에 관하여
nlDutch
Über die Anzahl der Primzahlen unter einer gegebenen Grösse

Popularity rank trends

Best Rank English:
#441835
10.2010
Global:
#194878
11.2009

AI rank trends

Best Rank English:
#30255
08.2012
Global:
#70156
05.2004

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on On the Number of Primes Less Than a Given Magnitude from Wikipedia articles about Riemann zeta function, Riemann hypothesis, Bernhard Riemann, Basel problem and Prime-counting function. Whereas reading the article about On the Number of Primes Less Than a Given Magnitude people most often go to Wikipedia articles on Riemann hypothesis, Bernhard Riemann, Prime-counting function, Gamma function and Riemann zeta function.

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