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
I interpret they all are natural numbers.
The first number would finish in 5; the second in 1 and the third in 2. The whole would finish in (5 1 + 6) = 2. But 26.640 multiples always finishes in 0. So it is not divisible.

Posted by armando
on 20050525 15:29:35 