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For every prime p greater than 3, p2-1 is
divisible by 24.
Why?
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Place the numbers from 1 to 8 in the grid so that
numerically adjacent numbers are not in adjacent cells.
In this case, we say two cells are adjacent horizontally,
vertically and diagonally.
- If you can't do it, why not?
- If you can do it, in how many ways can it be done?
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