Putnam Archive — MAS210 Elementary Number Theory

MAS210 Elementary Number Theory12 problem sets145 exercisesBurton, 7th ed.KAIST

KAIST

Every exercise is assigned from the required textbook: Burton, David M. Elementary Number Theory. 7th ed. McGraw-Hill, 2010. ISBN: 9780073383149. All exercises are from Burton, 7th edition. Section numbers are Burton's, and the assigned subparts are preserved exactly.

In Problem Set 11, §13.3 Exercise 9(c), "two cubes" should read "two positive cubes".

1ch 1–2

Problem Set 1

  • §1.13
  • §1.23(a), 3(c)
  • §2.11(a), 1(b)
  • §2.23(a), 3(c), 5
  • §2.34(a), 4(c), 14(a), 19(b), 23
  • §2.44(c), 12
  • §2.53(d)
2ch 3

Problem Set 2

  • §3.13(d), 3(e), 11(a), 11(b), 16(a), 16(b)
  • §3.28, 9(a), 9(b)
  • §3.318(a), 18(b), 20, 21(a), 21(b), 24
3ch 4

Problem Set 3

  • §4.26(d), 12(a), 12(b), 12(c), 15
  • §4.33, 11, 16, 27(a), 27(b)
  • §4.42(a), 5, 11, 16
4ch 5

Problem Set 4

  • §5.24(a), 4(c), 10(b), 11(b), 15(b), 16(a)
  • §5.34, 6, 10(a), 10(b), 17
5ch 6–7

Problem Set 5

  • §6.17(a), 7(b), 22(b), 22(c)
  • §6.23, 7(a), 7(b)
  • §6.33, 7, 12
  • §7.214(a), 14(b), 18
6ch 7–8

Problem Set 6

  • §7.33, 12(a), 12(b)
  • §7.41
  • §8.11(c), 2(c), 10
  • §8.21(b), 6(a), 6(b), 11
  • §8.31(b), 6(a), 6(b)
7ch 8–9

Problem Set 7

  • §8.43(a), 3(b)
  • §9.11(a), 11(a)
  • §9.22(b), 2(d), 3, 7, 15
8ch 9

Problem Set 8

  • §9.33(b), 5(a), 5(b), 8, 12(a), 12(b)
  • §9.43, 10(a), 10(b)
9ch 10–11

Problem Set 9

  • §10.13(a), 3(b), 3(c), 14
  • §10.23(a), 6
  • §11.23, 5, 18, 19
10ch 11–13

Problem Set 10

  • §11.32
  • §11.43(a), 3(b), 6, 13
  • §12.14, 9(a), 9(b)
  • §13.28, 11(a), 11(b), 12
11ch 13–14

Problem Set 11

  • §13.39(a), 9(b), 9(c), 10In 9(c), read "two positive cubes" for "two cubes".
  • §14.25, 18
  • §14.39, 11, 24(a), 28(a), 28(b)
12ch 15

Problem Set 12

  • §15.25(b), 10, 11(a)
  • §15.31(a), 4(c), 8, 13(a)
  • §15.54, 6(a), 10, 13(a)