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Recreational mathematics or puzzles with serious mathematical content. Note that math contest problems are generally considered off-topic.
16
votes
Accepted
Can an infinite number of mathematicians guess the number in a box with only one error?
It is possible to have every mathematician guess the number in one of the boxes with at most one error.
Partition the natural numbers into countably many sets, $\{S_i\}_{i=0}^\infty$, where each $S …
19
votes
Knight tour prime (conjecture)
We can prove something stronger, that there is no path at all. (That is removing the Hamiltonian condition) What follows is a proof for sufficiently large $n$. The proof makes use of the prime numbe …