There are good results related to what you are asking. Hans Roskam stated and proved a quadratic analogue of Artin's conjecture (and I think his paper is much easier to read than Hooley's). He studies the density of primes in which a fundamental unit in a real quadratic field has a maximal order.

The paper is titled, "A quadratic Analogue of Artin's Conjecture on Primitive Roots" Journal of Number Theory 81, 93-109.

You can find his papers here and this is also good.

Hope this helps.

There are good results related to what you are asking. Hans Roskam stated and proved a quadratic analogue of Artin's conjecture (and I think his paper is much easier to read than Hooley's). He studies the density of primes in which a fundamental unit in a real quadratic field has a maximal order.

The paper is titled, "A quadratic Analogue of Artin's Conjecture on Primitive Roots" Journal of Number Theory 81, 93-109, doi: 10.1006/jnth.1999.2470.

You can find his papers here and this is also good.

Hope this helps.