5041/5040: Difference between revisions

@@ Line 1: / Line 1: @@
+{{Infobox Interval
+| Name = third brown pair comma, 19th highly compositema
+| Color name = 71oorg1
+| Comma = yes
+}}
 /5040, the '''third brown pair comma''', or the '''19th highly compositema''' is a 71-limit superparticular interval measuring about 343 millicents.
 == Theory ==
-/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.
+/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 ==
 * Wikipedia Contributors, [[Wikipedia:Brocard's problem|Brocard's problem]].
-[[Category:71-limit]]
-[[Category:Superparticular]]
+[[Category:Commas referencing a famous use of a number]]