There are an infinite amount of prime numbers. The first to have proven this was Euclid. Here are the general lines of his proof:
# Suppose there are n prime numbers overall. # Let N be a common multiple of all these primes.
# Is N+1 prime? If it is, we have found a new prime.
# Suppose N+1 is not prime. Thus, there exists a Prime number p which divides N+1 evenly. If p is one of the primes dividing N, it also divides 1 evenly, which is impossible. Thus, p is not one of the n primes, and we found a new prime.
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The prime factorization of 180 is 2x2x3x3x5. Six consecutive prime numbers do not exist in its factorization.
No. The attribute "prime" and "composite" applies only to integers.
Was demonstrated by Euclid around 300 B.C
There are infinite prime numbers as there is infinite numbers. You cannot limit the counting of primes.
16 prime numbers