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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.

2 votes
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Proof that a pandiagonal Latin square of order $n$ exists iff $n$ is not a multiple of $2$ o...

The excellent puzzle book "1000 Playthinks" makes the claim, without proof, that a pandiagonal Latin square of order $n$ exists if and only if $n$ is not a multiple of $2$ or $3$. …
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