Using an ultraproduct valuation domain whose algebraic closure satisfies specific root and torsion conditions, the paper claims to prove infinitude of primes p for which a non-square m is a primitive root mod p and to compute the natural density of such primes as the standard Artin product without G
Lenstra,Profinite Number Theory, https://old.maa.org/sites/default/files/images/ mathfest/2016/pntt.pdf, 2015
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Global Primitive Roots of Unity
Using an ultraproduct valuation domain whose algebraic closure satisfies specific root and torsion conditions, the paper claims to prove infinitude of primes p for which a non-square m is a primitive root mod p and to compute the natural density of such primes as the standard Artin product without G