This section looks like the math part of another attack that we will try against the RSA algorithm. It again looks like you can choose your n in such a way that this wont really work, but it could work. The idea seems to make sense in my head, the reasoning behind it at least. Putting it into practice on paper will probably be less fun than just reading about it though.
Also is there a difference between moduli and modulus? I thought that I had heard both but now I'm not so sure.
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