Prime number: Difference between revisions

ArrowHead294 (talk | contribs)
m {{Wikipedia}} template is fixed and updated now
Fredg999 (talk | contribs)
Add a section on coprime numbers
 
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{{interwiki
{{interwiki
| en = Prime number
| de = Primzahlen
| de = Primzahlen
| en = Prime number
| es =  
| es =  
| ja = 素数
| ja = 素数
| ro = numere prime
}}
}}
{{Wikipedia}}
{{Wikipedia}}
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{{Wikipedia|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 ==
== Prime equal division ==
{{Main| 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.
 
== Coprime numbers ==
{{Wikipedia|Coprime integers}}
Two integers are '''coprime''' if they have no divisor in common except 1.


== See also ==
== See also ==
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* [[List of integer factorizations]]
* [[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)
* [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:Elementary math]]
[[Category:Terms]]
[[Category:Terms]]