Number theory · Oct 6, 2026
Artin primitive-root infinitude
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 primes in every sufficiently large interval have primitive root a, with .
Scope and what remains
The full quantitative density version is a stronger statement; do not infer it from infinitude.
Contributors
OpenAI source publisher and an unnamed unreleased internal model. Exact paper-level human roles are not disclosed by the family summary.
AI systems: Unreleased OpenAI model