This is not known.
It is believed that the ancient Egyptians knew of them, but it is known that the ancient Greeks did.
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We can't answer this if you don't provide a range since new higher prime numbers get discovered every year or so. Since the lowest prime number is 2, the product will be whatever the highest prime number is doubled.
It has not yet been discovered because numbers are infinite
Any two prime numbers will be relatively prime. Numbers are relatively prime if they do not have any prime factors in common. Prime numbers have only themselves as prime factors, so all prime numbers are relatively prime to the others.
Products of prime numbers are composite numbers.
The opposite of prime numbers are composite numbers.