From: numtheor@tiac.net
Newsgroups: sci.math
Subject: Re: need help on problem
Date: Sun, 18 Feb 1996 02:18:32 GMT

pjm10@zimmer.csufresno.edu (Patrick Joseph Mccabe) wrote:

>	Gauss conjectured in *Disquistiones Arithmeticae* that there are 
>	infinitely many primes having 10 as a primitive root. In 1927 Emil
>	Artin generalized this to: For *a* not equal to 1, -1, or a perfect
>	square, do there exist infinitely many primes having *a* as a 
>	priimitive root?
>	I would like sources for any work done on this problem.


This problem has been solved by Heath-Brown. He showed that with
possibly TWO exceptions every integer is a primitive root of
infinitely many primes.