Question

Are there integers whose sum of cubes is a cube of an integer too

Answer 1

yes there are integers whose sum of cubes is a cube

Answer 2

Yes, There are integers whose sum of cubes is also a cube of some integer .

Let us a check a normal form of such numbers .This isn't the general form but Just an example.

(3a)³ + ( 4a)³ + ( 5a)³ = 216a³ = (6a)³ .

Example :

Sum of 3 , 4 , 5 cubes is a number which is cube of 6 .


The Required answer for the question : " YES "

Hope helped!