It has been conjectured by Emile Artin that the primes of primitive root 2 are infinite. Is it known that their density among all primes is about 1/3 and that this density is constant up to 1 quadrillion? I have a quick test for determining if primes are of primitive root two. I noticed that these "Artin primes" made up 1/3 (really about 38%) of primes up to 1000, 10,000 etc. up to 1Qd. Using a similar test, I found another class of primes that makes up another 27% of the density and is very constant as well. Is this a known result?
2026-03-31 15:23:00.1774970580
Root 2 primes make up 38% of all prime numbers.
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