Thu, 12 Jan 2023 01:48:30 +0000

Enjoy the problem:

A rectangular cuboid (a box) has a body diagonal (longest diagonal joining the opposite corners) measuring 2023.
Also, all sides are integers. In addition at least two face diagonals are integers too.
Can you find solution(s) (or prove that there are none)!
Note: The problem is inspired by a similar problem by
@ZahlenRMD

One can use computers etc but *none* are needed. Just..basic number theory (and perhaps blessings from Brahmgupta) i