mersenneforum.org The rocambolesque number 541456
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 2019-01-16, 10:31 #1 enzocreti   Mar 2018 17×31 Posts The rocambolesque number 541456 Any idea for this near equality involving the number 541456: (541456/199) is about 2720+0.88442211+1/1809090909.090909090909. ?
 2019-01-16, 11:03 #2 enzocreti   Mar 2018 10000011112 Posts 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...
2019-01-16, 11:20   #3
axn

Jun 2003

477510 Posts

Quote:
 Originally Posted by enzocreti 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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