2007-04-02 (Monday):
  1. redistribute homework (5 min)
     reminder -- you must turn in graded version of hmwk on Wed!!
  2. Sieve of Eratosthenes
  3. infinitely many primes of form 4x-1.
  4. State Dirichlet's theorem 
  5. How many primes <= x; that pi(x) is asymp to x/log(x).
  6. pi(4*10^22)
  7. Define Li(x) and state RH:
         |pi(x) - Li(x)| <= sqrt(x)*log(x)
  
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After class optional intro to SAGE:
  1. How to download and install: 
        - Linux
        - OS X
        - Windows
  2. Online notebook (access can be spotty)
  3. Start up and do a demo:
      - quo_rem
      - do the explicit calculation of Mersenne prime
      - gcd
      - prime_range
  4. General questions.