What is the smallest possible constant of a 3×3 magic square containing nine distinct non-composite numbers only?
(In reply to
solution(?) by Justin)
Right - I just modified my program to find all the minimum constants (zeros) for a,b,c <21. There are two solutions (discounting rotations and reflections)
Here they are below.
I also verified Justin's complete solutions: min constant = 111 for non-neg terms a,b,c (-50, 50) and the constant = 177 as the minimum for strictly primes for a, b, c all between -1000,1000. (I found only 1 solution + rotations etc. in each case, once again, those he gave.)
That being said, I have no idea how to prove this is a minimum for all a,b,c.
0
2 -7 5
3 0 -3
-5 7 -2
0
2 -5 3
1 0 -1
-3 5 -2
Edited on September 29, 2018, 8:22 pm
re: solution(?)
