Kempner function

Kempner function - function that maps an integer ? to the smallest integer whose factorial is a multiple of ?. Article "Kempner function" in English Wikipedia has 25.8 points for quality (as of July 1, 2025). The article contains 10 references and 4 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 "Kempner function", its content was written by 37 registered users of English Wikipedia and edited by 75 registered Wikipedia users in all languages.

The article is cited 7 times in English Wikipedia and cited 117 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #34223 in July 2018
• Global: #79075 in August 2009

The highest popularity rank from 2008:

• Local (English): #722753 in March 2012
• Global: #1118481 in March 2012

There are 7 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) Smarandache-Funktion		38.263
2	Italian (it) Funzione di Kempner		31.4746
3	Japanese (ja) ケンプナー関数		28.4028
4	Vietnamese (vi) Hàm Kempner		26.2997
5	English (en) Kempner function		25.7606
6	Polish (pl) Funkcja Kempnera		18.4565
7	Indonesian (id) Fungsi Kempner		17.5212

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

The most popular language versions of the article "Kempner function" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Kempner function		32 518
2	German (de) Smarandache-Funktion		19 986
3	Japanese (ja) ケンプナー関数		679
4	Indonesian (id) Fungsi Kempner		469
5	Italian (it) Funzione di Kempner		419
6	Polish (pl) Funkcja Kempnera		354
7	Vietnamese (vi) Hàm Kempner		159

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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 "Kempner function" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Kempner function		184
2	German (de) Smarandache-Funktion		52
3	Japanese (ja) ケンプナー関数		33
4	Italian (it) Funzione di Kempner		8
5	Polish (pl) Funkcja Kempnera		7
6	Indonesian (id) Fungsi Kempner		5
7	Vietnamese (vi) Hàm Kempner		1

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

Language versions of the article "Kempner function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Kempner function		37
2	German (de) Smarandache-Funktion		18
3	Italian (it) Funzione di Kempner		8
4	Indonesian (id) Fungsi Kempner		6
5	Polish (pl) Funkcja Kempnera		4
6	Japanese (ja) ケンプナー関数		1
7	Vietnamese (vi) Hàm Kempner		1

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

Language versions of the article "Kempner function" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	German (de) Smarandache-Funktion		0
2	English (en) Kempner function		0
3	Indonesian (id) Fungsi Kempner		0
4	Italian (it) Funzione di Kempner		0
5	Japanese (ja) ケンプナー関数		0
6	Polish (pl) Funkcja Kempnera		0
7	Vietnamese (vi) Hàm Kempner		0

More...

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

Language versions of the article "Kempner function" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Polish (pl) Funkcja Kempnera		88
2	German (de) Smarandache-Funktion		8
3	English (en) Kempner function		7
4	Indonesian (id) Fungsi Kempner		5
5	Japanese (ja) ケンプナー関数		5
6	Italian (it) Funzione di Kempner		2
7	Vietnamese (vi) Hàm Kempner		2

More...

#	Language	Value
de	German Smarandache-Funktion
en	English Kempner function
id	Indonesian Fungsi Kempner
it	Italian Funzione di Kempner
ja	Japanese ケンプナー関数
pl	Polish Funkcja Kempnera
vi	Vietnamese Hàm Kempner

Best Rank

English: #722753 03.2012

Global: #1118481 03.2012

Best Rank

English: #34223 07.2018

Global: #79075 08.2009

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In English Wikipedia the most popular articles on that day were: Superman (2025 film), João Pedro (footballer, born 2001), Jurassic World Rebirth, Belinda Bencic, Christian Horner, Jannik Sinner, Jeffrey Epstein, Ozzy Osbourne, Deaths in 2025, Novak Djokovic.

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