From 3d4097152944dc072c65092b0ba3309ebf8f5470 Mon Sep 17 00:00:00 2001 From: Pineal Servo Date: Fri, 24 Jan 2014 12:10:52 -0700 Subject: [PATCH] An un-summarized change. --- math/number_theory/notes.page | 14 ++++++++++++++ 1 file changed, 14 insertions(+) diff --git a/math/number_theory/notes.page b/math/number_theory/notes.page index 211e4d5..958e093 100644 --- a/math/number_theory/notes.page +++ b/math/number_theory/notes.page @@ -61,3 +61,17 @@ b\mid a &\to bc\mid ac\\ and $$c\mid a \cdot c\mid b \to c\mid ma + nb$$ for all integers $m$ and $n$ + +A number $p$ is *prime* if: + +i. $p > 1$ +ii. $p$ has no positive divisors except $1$ and $p$ + +The number $1$ is not considered prime. + +A number is *composite* if it is greater than $1$ and not prime. + +**Theorem 1** +: Every positive integer, except $1$, is a product of primes. + +