Composite Numbers

Prime & Composite Relationship: If $p ∈ Z+$ and $p > 1$, then $p$ is either prime or composite. Prime Numbers: If $p ∈ Z+$ and $p > 1$, then $p$ is prime if the the only factors of p are $1$ & $p$. Composite Numbers: If $p ∈ Z+$ and $p > 1$, then $p$ is composite if $p$ if $∃ a ∈ Z+$ such that $a | p$ & $1 < a < p$....