5041/5040

Interval information

Ratio	5041/5040
Subgroup monzo	2.3.5.7.71 [-4 -2 -1 -1 2⟩
Size in cents	0.34346475¢
Names	third brown pair comma, 19th highly compositema
Color name	71oorg1
FJS name	[math]\text{P1}^{71,71}_{5,7}[/math]
Special properties	square superparticular, reduced
Tenney height (log2 nd)	24.5987
Weil height (log2 max(n, d))	24.599
Wilson height (sopfr(nd))	168
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math])	~1.2002 bits
Comma size	unnoticeable
S-expression	S71
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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 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

• Wikipedia Contributors, Brocard's problem.