Home About Publications Contact

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