Important note: office hours for Thur, Feb 9th are cancelled.
We have now covered the proofs of Results (Lemma/Corollary/Theorems) 2.3, 2.12, 2.13, 2.14, 2.15, 2.20. Please complete the reading of your text, pages 46-59. Pay special attention to the proofs of these items — they are core results of this section of the course. Compare my proofs to his; they should be essentially the same, so two voices may help clarify any confusion points. I may ask them on the next quiz. After this course, I want you, too, to be able to convince your friends unique prime factorization is surprising and cool, and to be able to explain why it is true.
Also please spend some time appreciating the Figures on p. 46, 52 and 55, as well as the rich historical context the author provides (e.g. 2.4, 2.5, 2.8-11, 2.17-19). One of the nice things about this text is that the author puts everything in context of what we know, don’t know, conjecture, and recent results. Mathematics is a living discipline!
If time remains: think of a question about primes that you are curious about, and see if you can find anything about it online. Many questions you might ask are still open!