Modular arithmetic

Quality:

Modular arithmetic - system of algebraic operations defined for remainders under division by a fixed positive integer; system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus. Article “Modular arithmetic” in English Wikipedia has 37.7 points for quality (as of July 1, 2026). The article contains 10 references and 16 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.98 points.

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

Since the creation of article “Modular arithmetic”, its content was written by 405 registered users of English Wikipedia and edited by 1296 registered Wikipedia users in all languages.

The article is cited 803 times in English Wikipedia and cited 3879 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #158 in January 2001
• Global: #158 in January 2001

The highest popularity rank from 2008:

• Local (English): #9492 in February 2015
• Global: #18193 in April 2010

There are 41 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, 2026 (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	Catalan (ca) Aritmètica modular		93.0578
2	French (fr) Arithmétique modulaire		76.6426
3	Indonesian (id) Aritmetika modular		64.0499
4	Japanese (ja) 合同算術		52.5744
5	Greek (el) Αριθμητική υπολοίπων		48.3076
6	English (en) Modular arithmetic		37.6796
7	Spanish (es) Aritmética modular		35.6492
8	Arabic (ar) حساب مقاسي		35.6267
9	Polish (pl) Arytmetyka modularna		33.6148
10	Tamil (ta) சமானம், மாடுலோ n		33.1081

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

#	Language	Popularity award	Relative popularity
1	English (en) Modular arithmetic		8 038 634
2	Spanish (es) Aritmética modular		732 340
3	Italian (it) Aritmetica modulare		548 213
4	Polish (pl) Arytmetyka modularna		444 935
5	French (fr) Arithmétique modulaire		334 823
6	Dutch (nl) Modulair rekenen		287 240
7	Vietnamese (vi) Số học mô đun		243 425
8	Portuguese (pt) Aritmética modular		207 912
9	Hebrew (he) חשבון מודולרי		206 333
10	Swedish (sv) Modulär aritmetik		150 224

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

#	Language	Popularity award	Relative popularity
1	English (en) Modular arithmetic		13 385
2	French (fr) Arithmétique modulaire		797
3	Italian (it) Aritmetica modulare		655
4	Spanish (es) Aritmética modular		651
5	German (de) Modulare Arithmetik		615
6	Chinese (zh) 模算數		594
7	Polish (pl) Arytmetyka modularna		525
8	Dutch (nl) Modulair rekenen		361
9	Portuguese (pt) Aritmética modular		336
10	Japanese (ja) 合同算術		286

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

#	Language	AI award	Relative AI
1	English (en) Modular arithmetic		405
2	French (fr) Arithmétique modulaire		130
3	Italian (it) Aritmetica modulare		77
4	Spanish (es) Aritmética modular		56
5	Polish (pl) Arytmetyka modularna		52
6	Japanese (ja) 合同算術		51
7	Hebrew (he) חשבון מודולרי		50
8	Dutch (nl) Modulair rekenen		49
9	Swedish (sv) Modulär aritmetik		38
10	Vietnamese (vi) Số học mô đun		36

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

#	Language	AI award	Relative AI
1	Arabic (ar) حساب مقاسي		1
2	Catalan (ca) Aritmètica modular		1
3	Esperanto (eo) Modula aritmetiko		1
4	Basque (eu) Aritmetika modular		1
5	French (fr) Arithmétique modulaire		1
6	Croatian (hr) Modularna aritmetika		1
7	Japanese (ja) 合同算術		1
8	Dutch (nl) Modulair rekenen		1
9	Polish (pl) Arytmetyka modularna		1
10	Serbian (sr) Модуларна аритметика		1

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

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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 50 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2026. When calculating current popularity and AI of articles data from June 2026 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2026... More information