Determine all possible value(s) of a positive integer n, such that the sum of the squares of the digits of n is equal to |n - 2009|.

Note: |x| denotes the absolute value of x.

(In reply to re: computer solution -- and computer language speeds by Vee-Liem Veefessional)

my reply to you is where isn't there beauty in it?  You failing to see the beauty in a computational proof is no different than a sculptor failing to see the beauty in a painting.

We each have our own mathematical art form that we prefer, and beauty is to be found in every one of them in there own right.

Perhaps you should heed Mark Twain's advice "Better to keep your mouth closed and be thought a fool than to open it and remove all doubt".

Posted by Daniel on 2010-05-10 10:29:06