Discussion:  All Topics 
Topic:  2001^2001 
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Subject:  2001^2001 
Author:  ycc 
Date:  Jul 31 2004 
Add all the digits of 2001^2001 (2001 to the power of 2001). Then, add all the
digits of the sum again. What is the result?
(A general question is: can we have an algorithm (or clever method) to find the
result of the above mechanism for any n^n.)
You may use any known result in number theory.
I tried some simple case, but cannot see any possible patterns.
 
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