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 think that the problem is ok, in the sense that the title leads also to the possibility that there is something not at all expected. Otherwise, why call it "strange divisibility"?

Posted by armando on 2005-05-27 15:42:27