PROBLEM ASSIGNMENTS (Math 380 - Spring, 2006)

Text: Elementary Number Theory, by David Burton

“*” means: Use some sort of “computer algebra” system

(Mathematica or a TI-89/92/200)

1.1) 1(a,b,e), 2, 4-9, 10(a), 11, 13, 14

1.2) 1, 2, 3(a,b,c-just the hint,d), 4, 5a, 7

2.1) 1(b,c), 2, 6(a), 7, 8

2.2) 1, 2, 3(a,b), 4-6, 8, 9*, 10*, 11*, and read 7

2.3) 2, 3, 4(a,b), 5, 6, 7*, 8(a,b*), 9, 12, 13(b-as modified),

14-18, 19(a-d,e*), 20, 21 and READ: 10, 11

2.4) 1-3, 4(a,b), 7-10, 11(one part), 12 and READ: 5

2.5) 1-8 (all)

3.1) 1-7, 9-13, 15-17, 19 Use Table of Primes: 14, 18

3.2) 1-3, 4[hint: use (b) to do (c)], 5, 7-12

3.3) 1-3, 4(just from 6 to 44), 6, 9, 10, 11*, 13, 14, 17,

21-24, 28[hint: use #27]

4.2) 1-18

4.3) 1-10, 12, 14-19, 25-28

4.4) 1-20

5.2) 1-14, 16-21

5.3) 1-15, 17, 18

5.4) 1-7

6.1) 1-9, 11-15, 17-19

6.2) 1

6.3) 1-7, 11

6.4) 1-6

7.2) 1-6, 8-11, 13, 15

7.3) 1-5, 7-11

8.1) 1-6, 7(”a”), 10-12

8.2) 1-6

8.3) skip

8.4) 1-4, 11, 12, 17

10.1) 2, 3(b,c), 4, 5(b), 7(b)