All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
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
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information