- 2025 is the sum of the first 9 cube numbers and also the square of the sum of the first nine numbers. You can represent this fact by arranging one 1 by 1 square, two 2 by 2 squares, three 2 by 2 squares, and so on up to nine 9 by 9 squares inside a 45 by 45 square. This talk looked at the general puzzle involving the sum of the first n cubes, showing that it's possible to do the arrangement for n=1, n=8 and n=9, but not possible for 2 to 7, and showed off the interactive thing that Scroggs made. + 2025 is the sum of the first 9 cube numbers and also the square of the sum of the first nine numbers. You can represent this fact by arranging one 1 by 1 square, two 2 by 2 squares, three 3 by 3 squares, and so on up to nine 9 by 9 squares inside a 45 by 45 square. This talk looked at the general puzzle involving the sum of the first n cubes, showing that it's possible to do the arrangement for n=1, n=8 and n=9, but not possible for 2 to 7, and showed off the interactive thing that Scroggs made.