This number N can be expressed as the sum of 1, 2, 3, 4, 5, 6, 7, 8 distinct squares.

Find N and show the 8 possible partitions.

Rem: This fact was discovered by Crespi de Valldaura.

325^2 has the desired property.

I doubt if it's unique, as it was the first number I tried. Other partitions of it are also possible.

Edited on December 6, 2018, 10:16 pm

Posted by broll on 2018-12-06 22:07:25