I am interested in the following question:
Is it known that $2$ is a primitive root modulo $p$ for infinitely many primes $p$?
thereThere is some information about Artin's conjecture in Wikipedia. http://en.wikipedia.org/wiki/Artin%27s_conjecture_on_primitive_roots
II need to know if it is up to date-to-date and if one can say something about the case $n=2$.