Prime number: Difference between revisions

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{{interwiki

| en = Prime number

| de = Primzahlen

~~| en = Prime number~~

| es =

| ja = 素数

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== Prime factorization ==

By the ~~[[wikipedia: Fundamental theorem of arithmetic~~|fundamental theorem of arithmetic]], any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s.

By the {{w|fundamental theorem of arithmetic}}, any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s.

== Prime equal division ==

A prime equal division is an [[equal-step tuning]] that divides a given [[~~equave]~~] into a prime number of pitches. They are notable because of many interesting properties.

A prime equal division is an [[equal-step tuning]] that divides a given [[interval] into a prime number of pitches. They are notable because of many interesting properties.

== See also ==

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* [[List of integer factorizations]]

== ~~Links~~ ==

== External links ==

* [http://www.arndt-bruenner.de/mathe/scripts/primzahlen.htm Die Primzahlseite] (German) by Arndt Brünner (helpful tools for prime factorization and ~test)

~~[[Category:Math]]~~

[[Category:Prime| ]]

[[Category:Prime]]

[[Category:Elementary math]]

[[Category:Terms]]

@@ Line 1: / Line 1: @@
 {{interwiki
+| en = Prime number
 | de = Primzahlen
-| en = Prime number
 | es =
 | ja = 素数
@@ Line 10: / Line 10: @@
 == Prime factorization ==
-{{Wikipedia|pname=false|Integer factorization}}
+{{Wikipedia|Integer factorization}}
-By the [[wikipedia: Fundamental theorem of arithmetic|fundamental theorem of arithmetic]], any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s.
+By the {{w|fundamental theorem of arithmetic}}, any [[ratio]] can be uniquely represented by a product of prime numbers through prime factorization. It enables the notation of ratios as [[monzo]]s.
 == Prime equal division ==
 {{Main| Prime equal division }}
-A prime equal division is an [[equal-step tuning]] that divides a given [[equave]] into a prime number of pitches. They are notable because of many interesting properties.
+A prime equal division is an [[equal-step tuning]] that divides a given [[interval] into a prime number of pitches. They are notable because of many interesting properties.
 == See also ==
@@ Line 24: / Line 24: @@
 * [[List of integer factorizations]]
-== Links ==
+== External links ==
 * [http://www.arndt-bruenner.de/mathe/scripts/primzahlen.htm Die Primzahlseite] (German) by Arndt Brünner (helpful tools for prime factorization and ~test)
-[[Category:Math]]
+[[Category:Prime| ]] <!-- main article -->
-[[Category:Prime]]
 [[Category:Elementary math]]
 [[Category:Terms]]