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It's not my specialty, but there are easier proof today. Probably 5 years of graduate math is enough ;).

@GP: I'd recommend to try to read an understand the proof for N=3. (And why that approach does not extend to bigger N.) It requires only undergraduate level math and it is much much much easier. It uses very different tools, so it will give you very little insight of the general proof, but it will give you some taste of the problems of the proof.



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