P-adic number

en

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P-adic number

Quality:

P-adic number - number system for a prime p which extends the ordinary arithmetic of the rational numbers in a different way from the extension of the rational number system to the real and complex number systems. Article “P-adic number” in English Wikipedia has 47 points for quality (as of July 1, 2025). The article contains 18 references and 25 sections.

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

Since the creation of article “P-adic number”, its content was written by 302 registered users of English Wikipedia and edited by 921 registered Wikipedia users in all languages.

The article is cited 790 times in English Wikipedia and cited 2968 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #340 in April 2002
  • Global: #488 in April 2002

The highest popularity rank from 2008:

  • Local (English): #10360 in June 2023
  • Global: #16279 in June 2023

There are 27 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
1Chinese (zh)
P進數
76.5691
2English (en)
P-adic number
46.9794
3Spanish (es)
Número p-ádico
37.6847
4German (de)
P-adische Zahl
37.1966
5Hungarian (hu)
P-adikus számok
35.9615
6French (fr)
Nombre p-adique
31.3427
7Simple English (simple)
P-adic number
30.0744
8Galician (gl)
Número p-ádico
29.7445
9Japanese (ja)
P進数
28.3625
10Portuguese (pt)
Número p-ádico
26.1253
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 "P-adic number" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
P-adic number
2 237 916
2German (de)
P-adische Zahl
283 013
3Japanese (ja)
P進数
246 622
4French (fr)
Nombre p-adique
244 397
5Russian (ru)
P-адическое число
181 292
6Spanish (es)
Número p-ádico
120 552
7Chinese (zh)
P進數
98 113
8Polish (pl)
Liczby p-adyczne
83 415
9Italian (it)
Numero p-adico
71 383
10Portuguese (pt)
Número p-ádico
50 755
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 "P-adic number" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
P-adic number
14 692
2Japanese (ja)
P進数
1 231
3French (fr)
Nombre p-adique
1 074
4German (de)
P-adische Zahl
963
5Russian (ru)
P-адическое число
761
6Spanish (es)
Número p-ádico
736
7Chinese (zh)
P進數
658
8Portuguese (pt)
Número p-ádico
508
9Polish (pl)
Liczby p-adyczne
335
10Korean (ko)
P진수
316
More...

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

The highest AI

Language versions of the article "P-adic number" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
P-adic number
302
2French (fr)
Nombre p-adique
94
3German (de)
P-adische Zahl
84
4Chinese (zh)
P進數
49
5Japanese (ja)
P進数
47
6Russian (ru)
P-адическое число
47
7Dutch (nl)
P-adisch getal
43
8Italian (it)
Numero p-adico
40
9Hebrew (he)
מספר p-אדי
26
10Polish (pl)
Liczby p-adyczne
25
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 "P-adic number" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Polish (pl)
Liczby p-adyczne
2
2Italian (it)
Numero p-adico
1
3Arabic (ar)
عدد تقاربي بتردد p
0
4Belarusian (be)
P-адычны лік
0
5Bulgarian (bg)
P-адично число
0
6Catalan (ca)
Nombre p-àdic
0
7Czech (cs)
P-adické číslo
0
8German (de)
P-adische Zahl
0
9English (en)
P-adic number
0
10Spanish (es)
Número p-ádico
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 "P-adic number" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
P-adic number
790
2Italian (it)
Numero p-adico
349
3French (fr)
Nombre p-adique
213
4Japanese (ja)
P進数
192
5Chinese (zh)
P進數
160
6German (de)
P-adische Zahl
134
7Portuguese (pt)
Número p-ádico
117
8Ukrainian (uk)
P-адичне число
116
9Korean (ko)
P진수
114
10Russian (ru)
P-адическое число
106
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
عدد تقاربي بتردد p
beBelarusian
P-адычны лік
bgBulgarian
P-адично число
caCatalan
Nombre p-àdic
csCzech
P-adické číslo
deGerman
P-adische Zahl
enEnglish
P-adic number
esSpanish
Número p-ádico
faPersian
عدد پی-ادیک
frFrench
Nombre p-adique
glGalician
Número p-ádico
heHebrew
מספר p-אדי
huHungarian
P-adikus számok
itItalian
Numero p-adico
jaJapanese
P進数
koKorean
P진수
nlDutch
P-adisch getal
noNorwegian
P-adisk tall
plPolish
Liczby p-adyczne
ptPortuguese
Número p-ádico
ruRussian
P-адическое число
simpleSimple English
P-adic number
svSwedish
P-adiska tal
trTurkish
P-sel sayılar
ukUkrainian
P-адичне число
viVietnamese
Số p-adic
zhChinese
P進數

Popularity rank trends

Best Rank English:
#10360
06.2023
Global:
#16279
06.2023

AI rank trends

Best Rank English:
#340
04.2002
Global:
#488
04.2002

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 P-adic number from Wikipedia articles about Field, P-adic analysis, P-adic valuation, List of types of numbers and Cyclic group. Whereas reading the article about P-adic number people most often go to Wikipedia articles on P-adic valuation, Pontryagin duality, Hensels lemma, Kurt Hensel and P-adic quantum mechanics.

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