Before moving on from these preliminaries, let's step back. What will we cover in this text?

• We'll start by exploring basic integer questions like this for a while.
• We'll be essentially forced to move to congruences by the material.
• Next, we'll explore a more advanced point of view of integers and congruences, including groups, to attack cryptography efficiently.
• About halfway through, geometry and how it infiltrates number theory will be up.
• Finally, functions and limits will help us illuminate primes in depth, as well as show us how the ideas of calculus really do show up in number theory quite naturally.