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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(4): Remove Problem | Comment 17 of 27 |
(In reply to re(3): Remove Problem by Charlie)

Charlie, if the "staff" decide to not remove the problem, I accept only the change of the number that I digitate wrongly.

Otherwise, it does not make sense the problem to be in the air.

What I want is a proof, without the evalution of the number N.

 


  Posted by pcbouhid on 2005-05-27 14:45:07
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