Homework 2

This assignment is due by the beginning of class on Friday, February 6^{th}. Be sure to review the homework guidelines before getting started.

- For each of the following, determine the number of primes which take the prescribed form. Your answers should be either "zero", "finitely many" or "infinitely many." Be sure to include an explanation.
- $a^3+1$
- $a^2-b^2$
- $a^4-b^4$

- From Strayer, Chapter 1, do the following problems:
- 23
- 43
- 44
- 64
- 71
- 87

- From Strayer, Chapter 2, do the following problems:
- 3(b)
- 4(f)
- 8
- 28(d)
- 29(d)