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How many unique answers are there to all the natural whole numbers 1 - 99 multiplied by all the natural whole numbers 1-99? For instance all the single digits 1-9 multiplied by all the single digits 1-9 yields 32 unique answers between 1& 81. Do the graphs of these 2 problems show any fractal properties. What about 1-999 multiplied by 1-999

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Welcome to math.SE: since you are new, I wanted to let you know a few things about the site. In order to get the best possible answers, it is helpful if you say in what context you encountered the problem, and what your thoughts on it are; this will prevent people from telling you things you already know, and help them give their answers at the right level. – Julian Kuelshammer Nov 21 '12 at 7:51

I calculate that there are, in fact, 36 unique products $ij$, with $1 \le i,j \le 9$.

For $1 \le i,j \le 99$, I find 2869 unique products.

For $1 \le i,j \le 999$, I find 247814 unique products.

I'll need to know more about what you mean by "graphs of these 2 problems" to say anything about fractals here.

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See – Robert Israel Nov 21 '12 at 7:33
For a graph of first differences see – Henry Nov 21 '12 at 8:01
Thanks for the help matt, I explained more about the graph, it saved as a query/pending edit – fineshigher Nov 21 '12 at 14:22
@fineshigher Great, but I cannot seem to find it anywhere. Could you put it in a comment? – Matthew Conroy Nov 21 '12 at 17:34

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