A
^{5} + B
^{5} + C
^{5} + D
^{5} + E
^{5} = 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/PenguinBookCuriousInterestingNumbers/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 20090503 17:24:55 