5041/5040: Difference between revisions

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 {{Infobox Interval
 | Name = third brown pair comma, 19th highly compositema
+| Color name = 71oorg1
 | Comma = yes
 }}
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 == Theory ==
-/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.
+/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:Commas referencing a famous use of a number]]