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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(3): Remove Problem | Comment 15 of 27 |
(In reply to re(2): Remove Problem by Richard)

As Richard points out in the solution queue, pcbouhid's proposed official solution claims that 2^23^257^2=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 2005-05-27 14:10:25
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