How to solve $x^2 - 1$ in ring $\mathbb{Z}/700\mathbb{Z}$
I know China's theorem about mods, but i doesn't understand how to use it, when i need to find root for this problem.
But i can find for example $7^{22^{34}}$ mod 567, or something like this
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E.g. see here. The same technique applies. – Bill Dubuque Dec 25 '16 at 15:03