Math 422: Introduction to Number Theory
Homework on §1
1. In the Python tutorial, do exercises 4–9.
2. A grasshopper sits at the 0 of a number line. It can jump either 5 units in
either direction, or 3 units in either direction, or any combination thereof
(like two jumps of length 5 left, then a jump of length 3 right). What is
the set of numbers that the grasshopper can reach with a sequence of
jumps?
3. Silverman 1.2. Give a geometric proof, and also a proof by induction.
4. Silverman 1.3.
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