Difficult: Could you elaborate more on proving the fundamental theorem of arithmetic, specifically the part proving there are unique factorization?
Wow, there were just a lot of theorems and corollaries proved (Eleven new ones in fact!) I followed each proof pretty well, it's now just a matter of making them intuitive and remembering them. And then, of course, learning how to use them. =)
Interesting: I really think it's interesting that the "Fundamental Theorem of Arithmetic" is that all numbers can be expressed as products of primes. What makes it so fundamental? I mean, we've gone five sections previous to it without actually having to prove it. Anyway, just an interesting question I thought of.
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