Number Theory – Mathematics 420 – Homework Problems
Brown University – Spring 2018
Professor Joseph Silverman

# Assigned Due Read Exercises Additional Information
1 Th 1/25 Tu 1/30 Intro & Ch. 1 & 2 1.1, 1.2, 1.3, 1.4(a,b), 2.1
2 Tu 1/30 Tu 2/6 Ch. 4 & 5 2.4, 2.7, 4.2, 5.1(a), 5.3, 5.5(a,b,c,d)
3 Th 2/1 Tu 2/6 Ch. 5 & 6 6.1(a), 6.2(a), 6.5, 6.6(a,b) Bonus/Fun: Do the rest of Problem 6.6.
4 Tu 2/6 Tu 2/13 Ch. 7 7.2, 7.3, 7.5, 7.6
5 Th 2/8 Tu 2/13 Ch. 8 8.1, 8.3, 8.4(a,d), 8.5, 8.6(a,b), 8.9
6 Tu 2/13 Th 2/22 Ch. 9 & 10 9.1, 9.2, 9.4, 10.1, 10.2, 10.3(a)
7 Th 2/15 Th 2/22 Ch. 10 & 11 11.1, 11.2
  Tu 2/20       No class – Brown closed
8 Th 2/22 Th 3/1 Ch. 11 & 12 11.3, 11.5, 11.6, 11.10, 11.11(a), 11.12(b)
  Tu 2/27 Exam #1 – In-class (50 minutes) – Covers Ch. 1, 2, 4–10
Exam 1 Solutions
9 Th 3/1 Tu 3/6 Ch. 14 & 15 12.2, 14.1, 14.3(a,b,c), 15.1, 15.2
10 Tu 3/6 Th 3/15 Ch. 15 & 16 15.3(a,b,c), 15.5, 15.6, 16.1, 16.3(a) Bonus/Fun: If you like to program, try 16.2.
11 Th 3/8 Th 3/15 Ch. 17 & 18 17.1, 17.3(a), 17.5(a), 18.1, 18.2(a) For Chapters 17 & 18, You may use the online calculator
(or other software) to compute powers mod m.
12 Tu 3/13 Class canceled due to winter storm
13 Th 3/15 Tu 3/20 Ch. 20 & 21 20.1, 20.2(a,b,c), 20.3(a,b)
14 Tu 3/20 Tu 4/3 Ch. 21 20.2(d), 21.1, 21.3, 21.6
15 Th 3/22 Tu 4/3 Ch. 21 & 22 21.4, 22.1(a,c), 22.2, 22.3, 22.7
  Tu 3/27       No class – Brown closed
  Th 3/29       No class – Brown closed
16 Tu 4/3 Th 4/12 Ch. 22 & 24 22.6, 22.10(a), 24.1(a), 24.2
17 Th 4/5 Th 4/12 Ch. 24 & 25 24.3, 24.4(b), 24.5(a,b), 25.1
  Tu 4/10 Exam #2 – In-class (50 minutes) – Covers Ch. 11–12, 14–18, 20–22
Exam 2 Solutions
18 Th 4/12 Tu 4/17 Ch. 39 39.1, 39.4(a,c,d), 39.11
19 Tu 4/17 Tu 4/24 Ch. 31 31.1, 31.3, 31.4
20 Th 4/19 Tu 4/24 Ch. 32 & 33 32.1, 32.2, 33.3(a,b,c). Note: This is two problems in chapter 32 and one problem in chapter 33.
21 Tu 4/24 Tu 5/1 Ch. 34 & 37 34.1, 37.1(a,b), 37.4
22 Th 4/26 Tu 5/1
23 Tu 5/1 Tu 5/8
24 Th 5/3 Tu 5/8
  Tu 5/8 Review / Q & A Session
  Weds 6/16 Final Exam – 2:00–4:00pm – BH 153

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