User talk:2A00:23C4:ACAE:9300:45AC:F3C2:CA3B:17CB

Thank you for your message. Yes it was not constructive, but I believe taht you statement One edge or space diagonal must be divisible by 13. One edge, face diagonal or space diagonal must be divisible by 17. One edge, face diagonal or space diagonal must be divisible by 29. One edge, face diagonal or space diagonal must be divisible by 37. is wrong for at least the edge. Using Time Roberts methods, it is easy to prove that you are wrong for these numbers on the edges. You are mis-leading wikipedia users. So it is helpful but not necessarily constructive

It is easy to prove the case for 13 using the T Roberts method The squares (mod 13) consist of the set (0,1,3,4,9,10,12) As you can see the set 1,3,9 fit the criteria as

1+3=4 ok 1+9=10 ok 3+9=12 ok 1+3+9= 13 =0 mod(13) ok but the set ( 1,3,9) does not contain a zero and so fails T Robert's criteria, so no edge is divisible by 13.

One edge or space diagonal must be divisible by 13. This statement is simply not true. one edge cannot be divisible by 13 as I have shown.