Introduction
Divide and conquer
Prime time
A modular world
Fermat's Little Theorem and Euler's Theorem
Public key cryptography
Polynomial congruences and primitive roots
The golden rule : quadratic reciprocity
Pythagorean triples, sums of squares, and Fermat's Last Theorem
Rationals close to irrationals and the Pell equation
The search for primes
Mathematical induction : the domino effect.