# Artin's conjecture for n=2

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 http://en.wikipedia.org/wiki/Artin%27s_conjecture_on_primitive_roots

I need to know if it is up to date and if one can say something about the case n=2.

-
No. $\!\!\!\!\!$ – David Hansen Dec 2 '10 at 1:25
@David: there were two questions. @Kate: Pieter Moree at Bonn will know the most recent advances if there were any. – Franz Lemmermeyer Dec 2 '10 at 9:00
@Franz: Thanks for the information – Kate Juschenko Dec 2 '10 at 19:28