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Strange divisibility (Posted on 2005-05-25) Difficulty: 2 of 5
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

See The Solution Submitted by pcbouhid    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Prime factors? | Comment 26 of 27 |
(In reply to Prime factors? by Erik O.)

Let's say that you are "close"...and you don't have to "fully delve into it".

But I agree that factors the numbers is an excellent idea !!!

That's all, for now.


  Posted by pcbouhid on 2005-06-02 21:09:06
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