acceptodds
Preprint in the OpenAI Math release

Primitive roots for every admissible integer base

OpenAI

Abstract

We prove the infinitude assertion in Artin's primitive root conjecture: for every integer a that is neither −1 nor a square, there are at least primes in with primitive root a, for some and every sufficiently large x.

open until 1 Jan 2028

est. 50% chance this result is independently verified by the end of 2027.

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