@Rainmaker1973
In the video, I found that some numbers are impossible to represent as a sum of cubes, and It perked my curiosity.
4, 5, 13, 14, 22, 23, ... are impossible. Basically, the sum of three cubes cannot equal 4 or 5 modulo 9 (ex: 22 % 9 = 4).
PROOF:
Firstly, we will prove that