Proposition VII.29 — Any prime number is prime to any number which it does not me…

Proof

The only divisors of a prime are 1 and itself; if the prime does not divide the other number, the only common divisor is 1.

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Depends on (2)

VII.11Definition VII.11A prime number is that which is measured by a unit alone.
VII.12Definition VII.12Numbers prime to one another are those which are measured by a unit alone as a common measure.

Required by (dependents) (1)

VII.30Proposition VII.30If two numbers by multiplying one another make some number, and any prime number measure the product, it will also…

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