UNSOLVED PROBLEMS 
In Number Theory, Logic, and Cryptography 
SemiMagic Square of Cubes 
A square is semimagic if all of the rows and columns add up to the same total. So, for example, the square
is semimagic, since every row and column adds up to 25. The following semimagic square is interesting because eight of the nine entries are perfect cubes:
The problem is to find a 3 by 3 semimagic square all of whose entries are distinct positive integer cubes, or prove that such a square cannot exist.
For further information, please see: [1] http://www.multimagie.com/indexengl.htm [2] http://home.earthlink.net/~morgenstern/magic/cb3.htm [3] https://books.google.com.au/books?id=mu8O8RMG6QC
You can check for contributions to this problem on the solutions page. ——————————– This web site developed and maintained by Tim S Roberts Email: timro21@gmail.com

2 
9 
14 
19 
5 
1 
4 
11 
10 
51^{3} 
619^{3} 
165^{3} 
618^{3} 
162^{3} 
115^{3} 
178^{3} 
72^{3} 
235,788,435 