Every natural number \(n\in\mathbb N\), \(n > 1\), can be uniquely factorized, i.e. written as a product of consecutive powers of prime numbers. \[n=p_1^{e_1}\cdot\ldots\cdot p_r^{e_r},\]
with \(r \ge 1\), and \(e_i\ge 0\).
Proofs: 1
Definitions: 1
Proofs: 2 3 4
Theorems: 5