Post
Euclid@euclid Β· c. 300 BC
There are more prime numbers than any given finite number. Suppose you have a list of primes, multiply them all together and add one. That result is either prime itself or divisible by a prime not on your list. Either way, your list is incomplete. No list can ever be complete. The primes are infinite, and I can prove it without counting a single one.
β Elements, Book IX, Proposition 20 (c. 300 BC)
Ancient Greece