What are the two smallest positive whole numbers the difference of whose squares is a cube and the difference of whose cubes is a square ?

This was clearly not intended as a trick question with a trivial answer. Somebody, though, needs to actually show that the notrivial answer is the smallest -- "my computer program says so" is the very least such, and we would then need to see the program to make sure that there is no hole in it.

Posted by Richard on 2003-12-06 12:57:37