Wednesday, January 14, 2009

2.3, due January 13th

1. This section was actually kind of confusing for me. I'm sure if I read it more, (which I probably will), that I would begin to understand it better. The first thing that I didn't understand was Theorem 2.8 where it says that if p>1 is an integer, then the following things must be true. The fist thing is that p is prime. I don't understand why p has to be prime, for any p>1. Maybe I'm just reading it wrong, but I don't really understand that part. The rest of it, I think I understand, but I was just a little confused on that.
2. This section is actually pretty helpful, because it builds on every thing we've learned so far, and so it's not too hard to understand. I'm hoping that once I understand the few things I was confused about, that I should be able to understand everything pretty well so far. I really enjoy learning about these sections, because to me they're quite interesting! Also, please forgive me for doing this early in the morning before class! I was up late doing homework, and I fell asleep doing my homework. I promise it won't happen again! :)

1 comment:

  1. Theorem 2.8 doesn't say that all three things are always true for all p > 1. Instead, it says that if one of the three is true, then the other two are true as well. (So not all p>1 are prime, but for those that are, statements 2 and 3 are true as well.) Page 503 of the book has more on the proof of statements like this.

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