A364276 A 5 X 5 magic square of squares with the smallest possible magic sum, read by rows.
1, 4, 961, 9, 400, 484, 256, 169, 25, 441, 121, 529, 100, 576, 49, 144, 225, 81, 729, 196, 625, 361, 64, 36, 289
Offset: 1
Examples
The magic square is: [ 1 4 961 9 400 ] [ 484 256 169 25 441 ] [ 121 529 100 576 49 ] [ 144 225 81 729 196 ] [ 625 361 64 36 289 ] Or equivalently: [ 1^2 2^2 31^2 3^2 20^2 ] [ 22^2 16^2 13^2 5^2 21^2 ] [ 11^2 23^2 10^2 24^2 7^2 ] [ 12^2 15^2 9^2 27^2 14^2 ] [ 25^2 19^2 8^2 6^2 17^2 ]
Links
- Christian Boyer, Some notes on the magic squares of squares problem, The Mathematical Intelligencer 27 (2005), pp. 52-64.
- Christian Boyer, First known 4x4 to 7x7 magic squares of squares.
- Index entries for sequences related to magic squares
Comments