[Math] Artin’s conjecture for $n=2$

Question

I am interested in the following question:

Is it known that $2$ is a primitive root modulo $p$ for infinitely many primes $p$?

There is some information about Artin's conjecture in Wikipedia.
I need to know if it is up-to-date and if one can say something about the case $n=2$.

Answer 1

It follows from GRH. Not known on its own.