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Prime and relatively prime numbers

Difference between prime and coprime numbers.

Property of relatively prime numbers

The property of relatively prime numbers:

Any two prime numbers are relatively prime.

Examples

2 and 3
5 and 7
11 and 17

These are prime numbers and simultaneously relatively prime numbers.

Are the relatively prime numbers always prime numbers?

Question: Are the relatively prime numbers always prime numbers?

The answer is no.

Example of relatively prime numbers, which are not prime numbers:

9 and 16

Numbers 9 and 16 are relatively prime, but none of them is a prime number.

Difference between prime numbers and relatively prime numbers

Do not confuse these two similar terms: prime numbers and relatively prime numbers.

In general, they are not the same.

Any two prime numbers are relatively prime, the reverse may not always be true.