1. According to the internet, who is the greatest mathematician?

  - Carl Friedrich Gauss (there was a list but here was first)

2. What was the undergraduate university that Dennis DeTurck, now
  penn prof.
  - Rutgers University

3. What university or isntitute did S in RSA get his PHD from?
  - Stanford University

  Part II:
  1. (a) Use the greedy algorithm to express 7/12 as an Egyptian fraction. Use this to equally divide
  7 pizzas among 12 people.

    ceil(12/7)=2
    1/2 + EF(7/12-1/2) = 1/2 + EF(1/12) DONE
    EF(7/12) = 1/2 + 1/12

(b) Note that a better way to express 7/12 as an Egyptian fraction is
  7/12 = 1/3 + 1/4.Use this better way to equally divide 7 pizzas
  among 12 people. Why is it better?

  It is because this solution is unique in that all fractions are
  fully reduced.
  a/b + c/d = (ad + cb)/bd

  7/12 = 1/3 + 1/4 = 4/12 + 3/12

2. Find the two smallest positive integers n, that have the property that
  • If you divide n by 3 you get remainder 1 .
  • If you divide n by 5 you get remainder 2 .
    The first number can be found by the dictionary = 7
    then you get the gcf of the the 3 and 5. You get numbers that
    follow those rules by taking the first one 7 + gcf(3,5)k where k is an int
    so second smallest is 7 +15(1) =  22!!!

  dictionary:
  f(0)=(0,0)
  f(1)=(1,1)
  f(2)=(2,2)
  f(3)=(0,3)
  f(4)=(1,4)
  f(5)=(2,0)
  f(6)=(1,0)
  f(7)=(1,2)
  f(8)=(2,3)
  f(9)=(0,4)
  f(10)=(1,0)
  f(11)=(2,1)
  f(12)=(0,2)
  f(13)=(1,3)
  f(14)=(2,4)