Prime number: Difference between revisions
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Add a section on coprime numbers |
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{{interwiki | {{interwiki | ||
| en = Prime number | |||
| de = Primzahlen | | de = Primzahlen | ||
| es = | | es = | ||
| ja = 素数 | | ja = 素数 | ||
| ro = numere prime | |||
}} | }} | ||
{{Wikipedia}} | {{Wikipedia}} | ||
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== Prime factorization == | == Prime factorization == | ||
{{Wikipedia | {{Wikipedia|Integer factorization}} | ||
By the | 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 [[ | 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]] | ||
== | == 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:Prime| ]] <!-- main article --> | |||
[[Category:Prime]] | |||
[[Category:Elementary math]] | [[Category:Elementary math]] | ||
[[Category:Terms]] | [[Category:Terms]] | ||
Latest revision as of 21:03, 20 August 2025
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 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 monzos.
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.
Coprime numbers
Two integers are coprime if they have no divisor in common except 1.
See also
External links
- Die Primzahlseite (German) by Arndt Brünner (helpful tools for prime factorization and ~test)