That is a tremendous finding regarding ramanujan's discovery of a cube being the sum of three other cubes where one commonality of the cube of 1. That is a new discovery and not just a "near-miss" of Fermat's last theorem! I think ramanujan was on his way to find further extension of that with perhaps a cube being the sum of four or five or even n number of cubes with a constant or semi-constant cube in place just like the cube of 1... A genius of the ages!! Kaiser Tarafdar