5041/5040 - Revision history

Squib: /* Theory */

2026-03-02T23:46:29Z

Theory

← Older revision		Revision as of 23:46, 2 March 2026
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	== Theory ==		== Theory ==
	5041/5040 represents the difference between [[72/71]] and [[71/70]]; therefore tempering this comma out splits their product, [[36/35]], in two; as 36/35 is the ratio of [[6/5]] to [[7/6]], tempering out this comma also splits [[7/5]] in two, by equating [[84/71]] to [[71/60]]. It is also ~~the answer~~ to ~~the~~ Brocard's problem ~~question of~~ n! + 1 = m^2, to which there's only three known ~~so far -~~ [[25/24]], [[121/120]], and this.		5041/5040 represents the difference between [[72/71]] and [[71/70]]; therefore tempering this comma out splits their product, [[36/35]], in two; as 36/35 is the ratio of [[6/5]] to [[7/6]], tempering out this comma also splits [[7/5]] in two, by equating [[84/71]] to [[71/60]]. It is also a solution to Brocard's problem, n! + 1 = m^2, for which there are only three known answers: [[25/24]], [[121/120]], and this.

	== References ==		== References ==

Lériendil: comma splits 7/5 in two

2025-02-05T06:32:52Z

comma splits 7/5 in two

← Older revision		Revision as of 06:32, 5 February 2025
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	== Theory ==		== Theory ==
	5041/5040 represents the difference between 72/71 and 71/70. It is also the answer to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - [[25/24]], [[121/120]], and this.		5041/5040 represents the difference between [[72/71]] and [[71/70]]; therefore tempering this comma out splits their product, [[36/35]], in two; as 36/35 is the ratio of [[6/5]] to [[7/6]], tempering out this comma also splits [[7/5]] in two, by equating [[84/71]] to [[71/60]]. It is also the answer to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - [[25/24]], [[121/120]], and this.

	== References ==		== References ==

BudjarnLambeth at 03:02, 16 November 2024

2024-11-16T03:02:59Z

← Older revision		Revision as of 03:02, 16 November 2024
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	* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].		* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].

			[[Category:Commas referencing a famous use of a number]]

Francium: Added color name

2023-09-07T16:17:08Z

Added color name

← Older revision		Revision as of 16:17, 7 September 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = third brown pair comma, 19th highly compositema		\| Name = third brown pair comma, 19th highly compositema
			\| Color name = 71oorg1
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Infobox Interval added

2022-10-27T18:34:57Z

Infobox Interval added

← Older revision		Revision as of 18:34, 27 October 2022
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			{{Infobox Interval
			\| Name = third brown pair comma, 19th highly compositema
			\| Comma = yes
			}}
	5041/5040, the '''third brown pair comma''', or the '''19th highly compositema''' is a 71-limit superparticular interval measuring about 343 millicents.		5041/5040, the '''third brown pair comma''', or the '''19th highly compositema''' is a 71-limit superparticular interval measuring about 343 millicents.

	== Theory ==		== Theory ==
	5041/5040 represents the difference between 72/71 and 71/70. It is also the ~~naswer~~ to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - [[25/24]], [[121/120]], and this.		5041/5040 represents the difference between 72/71 and 71/70. It is also the answer to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - [[25/24]], [[121/120]], and this.

	== References ==		== References ==

	* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].		* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].
	~~[[Category:71-limit]]~~
	~~[[Category:Superparticular]]~~

Eliora at 17:20, 15 May 2022

2022-05-15T17:20:23Z

← Older revision		Revision as of 17:20, 15 May 2022
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	* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].		* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].
	[[Category:71-limit]]		[[Category:71-limit]]
			[[Category:Superparticular]]

Eliora at 17:19, 15 May 2022

2022-05-15T17:19:54Z

← Older revision		Revision as of 17:19, 15 May 2022
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	* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].		* Wikipedia Contributors, [[Wikipedia:Brocard's problem\|Brocard's problem]].
			[[Category:71-limit]]

Eliora: Created page with "5041/5040, the '''third brown pair comma''', or the '''19th highly compositema''' is a 71-limit superparticular interval measuring about 343 millicents. == Theory == 5041/504..."

2022-03-21T09:18:08Z

Created page with "5041/5040, the '''third brown pair comma''', or the '''19th highly compositema''' is a 71-limit superparticular interval measuring about 343 millicents. == Theory == 5041/504..."

New page

5041/5040, the '''third brown pair comma''', or the '''19th highly compositema''' is a 71-limit superparticular interval measuring about 343 millicents.

== Theory ==
5041/5040 represents the difference between 72/71 and 71/70. It is also the naswer to the Brocard's problem question of n! + 1 = m^2, to which there's only three known so far - [[25/24]], [[121/120]], and this.

== References ==

* Wikipedia Contributors, [[Wikipedia:Brocard's problem|Brocard's problem]].