1 00:00:00,000 --> 00:00:03,466 Just to go through, again, 
the topics of the week. 2 00:00:03,466 --> 00:00:06,033 these roughly correspond 
to 2 minutes each. 3 00:00:06,033 --> 00:00:10,133 So we talked about "the following are equivalent". 
We'll see what that is when we get to it. 4 00:00:10,133 --> 00:00:13,066 What I mean by this is we had a 
bunch of criteria for congruences 5 00:00:13,066 --> 00:00:15,766 and these list them all. 6 00:00:15,766 --> 00:00:19,566 We talked about inverses, 
multiplicative inverses in Z mod m. 7 00:00:19,566 --> 00:00:22,300 We talked about the Linear Congruence 
Theorem, the second part to it. 8 00:00:22,300 --> 00:00:26,400 So where we reword it using our new notation with the equivalence classes. 9 00:00:26,400 --> 00:00:28,666 Then we talked about a couple 
of major theorems in this course: 10 00:00:28,666 --> 00:00:32,000 Fermat’s Little Theorem, Chinese Remainder 
Theorem and Splitting the Modulus. 11 00:00:32,000 --> 00:00:34,933 Then we wrapped up the week with 
a brief introduction to cryptography. 12 00:00:34,933 --> 00:00:38,900 Again remember our goal is to head 
to RSA, which we'll do next week. 13 00:00:38,900 --> 00:00:41,600 Actually I’m probably going to 
isolate that in its own video, 14 00:00:41,600 --> 00:00:42,800 15 00:00:42,800 --> 00:00:45,766 but here's the overview, and then I guess we 
finished off with the square and multiply algorithm. 16 00:00:45,766 --> 00:00:48,133 It gives you a quick 
way to compute 17 00:00:48,133 --> 00:00:50,400 large powers of numbers 18 00:00:50,400 --> 00:00:53,466 to not necessarily prime moduli.