MATH 545: Number Theory 1
Homework
1-1: 3, 7, 13, 14
1-2: 3, 4, 5
2-1: 2, 4, 5
Above to turn in on 8/30
2-2: 2, 10
2-3: 1, 2, 7
2-4: 1, 3
3-1: 1, 2, 13
3-2: 1, 3
No class on 9/11, but here is a project to complete in lieu of class. I will collect it on 9/13 with the homework. You can get the applet at http://www.math.wvu.edu/~mays/AVdemo/AVdemo.htm
Above to turn in on 9/13
3-3: 1, 2
3-4: 1, 3
3-5: 1, 2, 4, 6 This was supposed to be 4-1, but just leave
it off for now.
3-4: 5, 6
12-3: 1
12-4: 1
Above to turn in on 9/27
4-1: 1, 2, 4, 6
4-2: 4
5-1: 1, 3
5-2: 2, 9, 10
5-3: 2, 5, 6
Above won't be turned in, but will be covered on mid-term exam in class Thursday 10/4. Mid-term exam will cover through Chapter 5 section 3.
5-4: 5, 7, 8
6-1: 4, 6, 15
6-2: 1, 2, 9, 10, 11
Above to turn in on 10/18
6-3: 1
6-4: 1, 4, 14, 15
7-1: 2, 3, 4, 6
Above to turn in on 11/1
7-2: 16
8-1: 1, 2, 3, 4
8-2: 1, 2, 3
9-1: 1
9-2: 2, 3
Above to turn in on 11/15
9-3: 4, 5
9-4: 3, 4
The number 1 has two square roots in the integers mod p, for p an odd prime. How many square roots does 1 have in the integers mod n if n is a product of k distinct odd primes?
Prove that if n is a psp(2) then so is 2^n-1. Thus there are infinitely many of them.
Above to turn in on 12/6
