That's an infinite list.
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Any two prime numbers are relatively be prime?
Not at all. The class of "natural" numbers are all positive, but the classes of "real" numbers and "rational" numbers include negative numbers.
All the positive real numbers are natural numbers.
All rational and irrational numbers are real numbers.
Yes, all natural numbers are real numbers. Natural numbers are a subset of real numbers, so not all real numbers are natural numbers.