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Old 2019-01-16, 10:31   #1
enzocreti
 
Mar 2018

523 Posts
Default The rocambolesque number 541456

Any idea for this near equality involving the number 541456:

(541456/199) is about 2720+0.88442211+1/1809090909.090909090909.
?
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Old 2019-01-16, 11:03   #2
enzocreti
 
Mar 2018

523 Posts
Default 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...
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Old 2019-01-16, 11:20   #3
axn
 
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Jun 2003

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Quote:
Originally Posted by enzocreti View Post
so 541456 is about 199*(2720+0.88442211+11/19900000000)
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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