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.

(In reply to re(2): computer solution by Charlie)

It's probably most helpful to have them in order of size:

1 2 4 7 9 10 21 28 32 35 36 44 45 48 52 64 72 81 84 96 98 99 108 120 132 144 147 180 240 256 260 280 288 315 323 325

Posted by broll on 2018-12-07 13:22:02