We should have some homework. I can get some evidence to help me judge how I am doing, and you can show me how clever you are!  

Animal  Number 

Elephant  9 
Frog  13 
Banana  5 
Heron  128 
Bicycle  2003 
Explain  
Cooperate ...  

Due at the start of class on  Suggested problems 

REVISED Thursday, July 11 
1. What are the first 5 decimal digits of 2^{300}? What are
the last 5 decimal digits of 2^{300}? 2. How many decimal digits does 2^{(2(2 (22)))} have? What about (((2^{2})^{2})^{2}) ^{2})? (I think the first number is the largest you can get with five 2's and exponentiation and parenthesizing and the second is the smallest.) 3. Here is a secretsharing example mod 17. Find the constant term mod 17 of a fourth degree polynomial P so that Comment Do all computations mod 17. Maple is "smart" enough. This will reduce the work needed. 4. Alice and Bob are using RSA. They agree on the following modulus which is the product of two primes: 
Answers 

[Postscript]  [PDF] 