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-   -   The rocambolesque number 541456 (https://www.mersenneforum.org/showthread.php?t=24006)

enzocreti 2019-01-16 10:31

The rocambolesque number 541456
 
Any idea for this near equality involving the number 541456:

(541456/199) is about 2720+0.88442211+1/1809090909.090909090909.
?

enzocreti 2019-01-16 11:03

541456
 
so 541456 is about 199*(2720+0.88442211+11/19900000000).
Is there any reason and any connection with the fact that 541456/271 whic has periodic decimal expansion 19926...

axn 2019-01-16 11:20

[QUOTE=enzocreti;506097]so 541456 is about 199*(2720+0.88442211+11/19900000000)[/QUOTE]
It isn't "about". It is exactly that.

199*(2720+0.88442211+11/19900000000)
= 199*(2720+88442211/100000000+11/19900000000)
= 2720*199 + 17599999989/100000000 + 11/100000000
= 2720*199 + 176
= 541456

There is no "connection" to anything, other than simple numerical manipulations.


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