Ramanujan Numbers

Hi ,

Here's an interesting problem:

Define

lhs = x^3 +y^3 /; x , y are positive nonzero integers
rhs = a^3 +b^3 /; a, b are positive nonzero integers

x , y ,a , b all numbers are distinct. i.e. a!=b!=x!=y where !=
means "not equal to"

Solve for x,y,a,b such that lhs=rhs i.e. x^3+y^3=a^3+b^3

My interest lies in those numbers 0 < lhs < 4,000,000

A simplest example is lhs = 1729 , the Ramanujan Number

.