Lecture 7: Strong Pseudoprimes and a Probabalistic Primality Test

Background Material

• Modular Arithmetic and Fast Exponentiation
• RSA and CRT

Reading

• Chapter 6 of the text.

Topics

1. Review Fermat's Theorem
2. Strong Pseudoprimes
3. Quadratic residues, Wilson's theorem and Euler's test.
4. Probabalistic primality testing

Maple Worksheet

1. lec7.mw - Maple worksheet illustrating pseudoprimes, Euler's test and a probabilistic primality test.

Assignment