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Any $N\cdot N$ Sudoku Puzzle has $N$ squares size $\sqrt N\cdot\sqrt N$ that each have the numbers $1$ to $N$ in them.Is there a sudoku puzzle of any size that have magic squares for all of these sub-squares? I think it will be inevitable for large enough $N$, since there will be more possible Sudokus.

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  • $\begingroup$ Note that $N$ should be even because in odd size magic squares the centre number is forced and would conflict with sudoku rules. $\endgroup$ – zwim May 28 '17 at 2:32
  • $\begingroup$ @zwim not if we require magicness only for rows and columns. So rhen we can also find a standard 9 by 9 with this ... $\endgroup$ – Hagen von Eitzen May 28 '17 at 2:45
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Yes, there is a solution for $16\cdot16$:

https://i.stack.imgur.com/6C52f.png

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