Mathematicians find new solutions to an ancient puzzle

http://www.physorg.com/news124726812.html

From the page: “Now people can generate as many solutions as they wish. There are an infinite number of solutions to this problem, and Madden and Jacobi have found a way to find them all.

The title of their paper is, On a4 + b4 +c4 +d4 = (a + b + c + d)4.”