Math 345/504

2-28-2018

1. Simplify to a number in the range .

By Fermat's theorem, . So

I need to find .

Hence, . Thus,

2. Simplify to a number in the range .

By Wilson's theorem, . So

It follows that , so

3. Simplify to a number in the range .

Note: 89 is prime.

By Wilson's theorem, .

Now , so

*The worst helplessness is forgetting there is help.* -
*James Richardson*

Copyright 2018 by Bruce Ikenaga