Remark: Family 029. Artin's primitive root conjecture: infinitude for every base

Proves the infinitude assertion in Artin's primitive root conjecture for every integer $a$ that is neither $-1$ nor a square. For each such base, at least $c_{a}x/(\log x{)}^2$ primes in every sufficiently large interval $(x,2x)$ have primitive root $a$, with $c_a>0$.

The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.