Without evaluation of it, prove that the number
N = 27,195^8 - 10,887^8 + 10,152^8 is divisible by
26,460.
Note: the original problem mistakenly listed the last number as 26,640. This has been corrected
(In reply to
strange divisibility by armando)
Armando, I put the name "strange..." because of the strange numbers and the (correct) number 26,460, (not 26,640) as already Richard and Charlie pointed out POLITELLY. "Strange" could indeed not be a good word.
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Posted by pcbouhid
on 2005-05-27 15:48:48 |