Is a prime number and a composite number necessarily coprime
Wrong, not necessarily
For example, 2 and 4
2 is prime, 4 is composite, they are not coprime
For example, 3 and 25
Then mutual quality
Wrong, not necessarily
For example, 2 and 4
2 is prime, 4 is composite, they are not coprime
For example, 3 and 25
Then mutual quality