What is currently the SMALLEST known magic square of cubes: 4x4, 5x5, ...nxn?
Constrains:
1. Positive integers only.
2. No entry over 6 digits.
As previously stated, Leonhard Euler was the first to make 4x4 magic squares using squares in 1770. But no one has yet built a 3x3 magic square of squares or proven that it is impossible.
In 1876, Edouard Lucas worked on the subject. Martin Gardner then offered $100 to the first person who could build one in 1996. Because this problem, despite its seeming simplicity, is extremely difficult to answer with nine separate squared integers. (I play
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