Prime number - Revision history

VectorGraphics at 03:03, 7 November 2025

2025-11-07T03:03:44Z

← Older revision		Revision as of 03:03, 7 November 2025
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	{{Wikipedia\|Integer factorization}}		{{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.		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. This is why, in regular temperament theory, prime [[Harmonic\|harmonics]] are usually used as the basic building blocks of harmony.

	== Prime equal division ==		== Prime equal division ==

FloraC: + link

2025-11-04T10:14:56Z

+ link

← Older revision		Revision as of 10:14, 4 November 2025
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	== See also ==		== See also ==
	* [[Prime harmonic series]]		* [[Prime harmonic]] and [[prime harmonic series]]
	* [[Harmonic limit]]		* [[Harmonic limit]]
	* [[List of integer factorizations]]		* [[List of integer factorizations]]

Fredg999: Add a section on coprime numbers

2025-08-20T21:03:20Z

Add a section on coprime numbers

← Older revision		Revision as of 21:03, 20 August 2025
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	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.		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 ==

FloraC: Fix a link

2025-04-01T15:54:27Z

Fix a link

← Older revision		Revision as of 15:54, 1 April 2025
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	{{Main\| 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.		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 ==		== See also ==

AraMax at 19:59, 27 December 2024

2024-12-27T19:59:40Z

← Older revision		Revision as of 19:59, 27 December 2024
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	\| es =		\| es =
	\| ja = 素数		\| ja = 素数
			\| ro = numere prime
	}}		}}
	{{Wikipedia}}		{{Wikipedia}}

FloraC: Linking and misc. cleanup

2024-12-18T08:16:19Z

Linking and misc. cleanup

← Older revision		Revision as of 08:16, 18 December 2024
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	{{interwiki		{{interwiki
			\| en = Prime number
	\| de = Primzahlen		\| de = Primzahlen
	~~\| en = Prime number~~
	\| es =		\| es =
	\| ja = 素数		\| ja = 素数
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	== Prime factorization ==		== 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 ==		== 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.

	== 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]]

ArrowHead294 at 03:27, 29 October 2024

2024-10-29T03:27:07Z

← Older revision		Revision as of 03:27, 29 October 2024
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	== Prime factorization ==		== Prime factorization ==
	{{Wikipedia\|Integer factorization}}		{{Wikipedia\|pname=false\|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 [[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.

ArrowHead294: {{Wikipedia}} template is fixed and updated now

2024-10-29T03:00:51Z

{{Wikipedia}} template is fixed and updated now

← Older revision		Revision as of 03:00, 29 October 2024
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	\| ja = 素数		\| ja = 素数
	}}		}}
	{{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, ….		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 ==		== Prime factorization ==
	{{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 [[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.

Fitzgerald Lee: Fixed Wikipedia thingy

2024-10-28T11:05:05Z

Fixed Wikipedia thingy

← Older revision		Revision as of 11:05, 28 October 2024
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	\| ja = 素数		\| ja = 素数
	}}		}}
	{{Wikipedia}}		{{Wikipedia\|Prime number}}

	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, ….		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 ==		== Prime factorization ==

Dummy index: /* See also */

2024-10-08T14:14:25Z

← Older revision		Revision as of 14:14, 8 October 2024
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	* [[Prime harmonic series]]		* [[Prime harmonic series]]
	* [[Harmonic limit]]		* [[Harmonic limit]]
			* [[List of integer factorizations]]

	== Links ==		== Links ==