TITLE: How many prime numbers are known?
QUESTION [53 upvotes]: Wikipedia says that the largest known prime number is $2^{43,112,609}-1$ and it has 12,978,189 digits. I keep running into this question/answer over and over, but I haven't been able to find how many known prime numbers exist. The website primes.utm.edu allows downloading of the first 50,000,000 known primes so I know there are at least that many; I'm not expecting to find a list of all known primes, but is there any information on how many there are known?
edit Relevant video from Khan Academy: Prime Number Theorem: the density of primes

REPLY [7 votes]: I came across this interesting resource:
The first fifty million primes
Lists the first and last prime of sets of one million, and a more recent record:

New record prime (GIMPS): $2^{82,589,933}-1$
with 24,862,048 digits by P. Laroche, G. Woltman, A. Blosser, et al.
(7 Dec 2018)
Source: The primes page (utm.edu)

I also found the first 2 billion prime numbers, which isn't an academic site, but has links to some other prime databases.