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
re(2): Remove Problem by Richard)
As Richard points out in the solution queue, pcbouhid's proposed official solution claims that 2^2×3^2×5×7^2=26,640, when in fact it's 26,460.
I don't think it calls for removal of the problem, but just consider it, as it can't be changed now, as actually asking to determine the divisibility rather than prove it divisible. That determination has been made in the comments.

Posted by Charlie
on 20050527 14:10:25 