## Number Theory

What does one know about the properties of all natural numbers? The Fundamental Theorem of Arithmetic is a good way to begin this journey. It is a statement
about the building blocks of all positive integers. Its proof is expounded and the reader is given the opportunity to think about its implications.
What then follows is the infinitude of primes. What is presented is a classic proof first published from Euclid's __The Elements__.

This publication is like an étude for mathematics that hones in on logic and mathematical reasoning.
People trying to improve their comfort level with mathematical reasoning should take the time to study these
two-pages.

Principle of Induction
Giving a Counter Example
Euclid's Lemma
Properties of Divisibility
Fundamental Theorem of Arithmetic