The Cool
I thought it was really neat how they easily solved 2^53 and I would like to try that out myself. I think that if I tried it out a few times, that it might help me to understand Fermat and Euler's theorems better.
I also thought it was cool that I didn't think I understood Fermat's theorem until I saw a few examples of it. It's nice to say that I understand how to use it, even if I don't understand the proof of it.
The (really) Tough
How do we know that the Euler's function of 1000 is 1000(1-1/2)(1-1/5)? I completely didn't deduce how to solve that from the reading. I looked back a few times trying to see where they got that, and I couldn't find an explanation that made sense.
I also thought the proposition about Primitive Roots was really confusing, but normally these propositions tend to make more sense after class so I'm excited for my understanding after class tomorrow.
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