Antimagic square
An antimagic square (also anti-magic square) is a type of heterosquare in which the rowsums, columnsums, and two diagonal sums are consecutive integers (in some order).
Open problems concerning antimagic squares
- How many antimagic squares of a given order exist? Do antimagic squares exist for all orders greater than three?
- Is there a simple proof that no antimagic square of order three exists?
Example antimagic square of order 4
2 15 5 13
16 3 7 12
9 8 14 1
6 4 11 10
This antimagic square has sums from 29 to 38 inclusive.
