A⁵ + B⁵ + C⁵ + D⁵ + E⁵ = ABCDE

where each separate letter represents a different digit and A is not zero.

What is ABCDE?

I got this book almost 20 years ago; shortly after high school:
http://www.amazon.com/Penguin-Book-Curious-Interesting-Numbers/dp/0140261494
A few numbers of this type are in it.  I still flip through it once in a while. 
In college I took a programming course and for a project I wrote a program to find some numbers of this type.   Computers being what they were I don't think I went much beyond  the number that is the solution here.  Apparently they are all known now:
http://mathworld.wolfram.com/NarcissisticNumber.html

Posted by Jer on 2009-05-03 17:24:55