There are two distinct positive integers: the difference of their squares is a cube and the difference of their cubes is a square, and their product is minimal. What is the product of these two integers?
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Mathematica
FindInstance[a^2-b^2==x^3&&a^3-b^3==y^2&&a>b>0,{a, b, x, y},Integers]
{{a -> 10, b -> 6, x -> 4, y -> -28}}