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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.

Modern Formulation

see existence of prime divisors.

Table of Contents

Proofs: 1

Mentioned in:

Proofs: 1 2 3

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References

Bibliography

1. Kramer Jürg, von Pippich, Anna-Maria: "Von den natürlichen Zahlen zu den Quaternionen", Springer-Spektrum, 2013

Adapted from (subject to copyright, with kind permission)

1. Fitzpatrick, Richard: Euclid's "Elements of Geometry"