Prime number: Difference between revisions

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{{interwiki

| en = Prime number

| de = Primzahlen

~~| en = Prime number~~

| es =

| ja = 素数

| ro = numere prime

}}

A '''prime number''' is an integer (whole number) greater than one that is divisible only by itself and one. There are an infinite number of prime numbers, the first few of which are 2, 3, 5, 7, 11, 13, ….

== 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 [[interval]] into a prime number of pitches. They are notable because of many interesting properties.

== ~~Prime EDO~~ ==

== Coprime numbers ==

Two integers are '''coprime''' if they have no divisor in common except 1.

== See also ==

* [[Prime harmonic series]]

* [[Harmonic limit]]

* [[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
+| ro = numere prime
 }}
-{{Wikipedia|Prime number}}
+{{Wikipedia}}
 A '''prime number''' is an integer (whole number) greater than one that is divisible only by itself and one. There are an infinite number of prime numbers, the first few of which are 2, 3, 5, 7, 11, 13, ….
 == 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.
+{{Wikipedia|Integer factorization}}
+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 [[interval]] into a prime number of pitches. They are notable because of many interesting properties.
-== Prime EDO ==
+== Coprime numbers ==
-{{Main| Prime EDO }}
+{{Wikipedia|Coprime integers}}
+Two integers are '''coprime''' if they have no divisor in common except 1.
 == See also ==
 * [[Prime harmonic series]]
 * [[Harmonic limit]]
+* [[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]]