SU-MATH109 SEP272023 — Jemoka Knowledge Base

\begin{equation} \mathbb{N} = \{0, 1,2,3 \dots \} \end{equation}

the set of natural numbers. start from 0.

\begin{equation} \mathbb{Z} = \{\dots, -2, -1, 0,1,2, \dots \} \end{equation}

the set of integers. natural language and their negatives Key Sequence first, we built the ground work of principle of induction in order to construct the WOP we defined division, and formalized the algorithm for doing so we then defined the greatest common divisor, and the fact that greatest common divisor is a linear combination we then constructed the idea of prime numbers, coprimes, and showed that There are infinitely many primes Finally, we used yet another lemma from Euler to build the fundamental theorem of arithmetic New Definitions division division algorithm greatest common divisor prime coprime Results and Their Proofs principle of induction well-ordering principle There are infinitely many primes division algorithm greatest common divisor is a linear combination fundamental theorem of arithmetic and its factorization motivator lemma