Blum-Blum-Shub-Pseudo Random Number

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How is this fundamentally different from the Middle-Square method, which is a well-known, early-developed method? Further, the only difference here between the blum blum shub and the middle-square (from what I can tell) is that youre extracting your digits from a different part of the numeral, i.e. the least significant digits (using mod) rather than a middle block. If the middle-square is a weak method, despite being non-linear, why is the blum blum shub any stronger? Youd think this method would have been tried and rejected before the middle-square, and yet its a fairly recent development. Im curious about this observation and this oddity. And yes, I know the middle square has a tendency to reach a cycle at some point, but all PRNGs do that, you have to pick your initial value x0 well in order to defeat that problem... but thats true of all PRNGs in general, including blum blum shub. The fact that the blum blum shub has addressed this initialization value well in no way proves to me that the general method is fundamentally any better.

leesweets
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Hello, What are you using for writing on the screen? Its really impressive. When I try writing on a tablet with a pen, it doesn't look natural.

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