Proposition: 7.31: Existence of Prime Divisors
(Proposition 31 from Book 7 of Euclid's “Elements”)
Every composite number is measured by some prime number.
* Let $A$ be a composite number.
* I say that $A$ is measured by some prime number.
see existence of prime divisors.
Table of Contents
Proofs: 1 2 3
- Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"