## Number Theory: Math 522, Fall 2005 Assignments

Assigned exercises in Rosen, Elementary Number Theory and Its Applications 4th ed.

Starred problems (*) are required of graduate students only (extra credit for undergrads).

Homework assignments to turn in.
Due Date Section Problems
Mon. 9/12 1.2 16, 18, 20, 24
. 1.3 4, 8, 12
. 1.4 4, 8
Mon. 9/19 1.1 12, 20*
. 1.4 34, 35, 36
. 1.5 8, 16, 21, 22, 28, 36
Mon. 9/26 1.5 40*
. 2.1 2, 6, 12*, 20, 24
. 2.2 10 (add, don't subtract), 14
Wed. 10/12 3.4 8b, 10, 14
. 3.5 8, 12, 14, 16, 32d, 36, 38, 46, 60
Fri. 10/21 3.7 2d, 6, 12a*, 14b, 16, 18
. 4.1 8, 10, 18, 20, 24, 28a,b, 34
. 4.2 6, 16
Fri. 10/28 4.2 14
. 4.3 4b, 12, 16, 20ab
. 5.1 10, 20, 22
. 11.1 6*,12
Fri. 11/4 4.5 3, 8c, 10a
. 5.5 8, 10, 12, 20*
Wed. 11/23 13.1 2, 12
. 6.1 22, 24 (p is odd), 28, 40
. 6.3 1d, 4, 11c
. 8.1 6
. 8.2 16 (write it as a matrix), 28
. 8.3 4
. 8.4 2, 6 (use e = 11 not 7 and find d )
Mon 12/11 7.1 6
. 7.2 6d
. 9.1 8, 10, 14, 16
. 9.2 2, 6, 10
. 9.4 4, 8
. 10.2 4

Here is a list of problems that I recommend you read and attempt to solve.
Some are relatively easy, and are good preparation for the homework.
Others are more advanced, challenge problems.

Chapter Section Problems
1 1 7-16, 20*
. 2 1-4, 16-20, 24
. 3 1-12, 15*, 16*, 20, 21
. 4 1-17, 34-37
. 5 1-9, 11, 12, 16, 18, 22-26, 29-24, 36-40*
2 1 1-6, 12-15, 18-26
. 2 1-10, 13, 14
3 1 6-8, 10, 13, 15, 16
. 2 10, 12
3 1-23
. 4 1-10, 14, 15
. 5 1-16, (19-24)*, 30-34, 36-41, 44-47
. 7 1-18
4 1 1-21, 28, 33, 34
. 2 1-3, 6-16, ,18
. 3 1-12, 15-20
. 5 1-5, 9, 10, 11
5 1 1-10
. 5 1-13, 19-22
13 1 1-4, 7
6 1 1-25, 28, 39, 40
. 3 1-11
8 1 1-6
. 2 13-16, 26-30
. 3 1-5
. 4 1-2, 5-8
7 1 1-4, 8-10
9 1 1-10
. 2 1-11
. 4 1-3
10 2 1-6
14 1 1-4