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  • "the most probable distribution of primes." I'm 99% sure there is no such thing more precise than the prime number theorem which just states how (in)frequently they appear as the numbers get larger, but other than that you have to test every number in the vicinity for primality. Commented Oct 10, 2021 at 6:48
  • @whatsisname infrequency is the same as frequency. "but other than that you have to test every number in the vicinity for primality." - that's not a "probable" distribution, that's the "actual" distribution. I was talking about a "guess" for the distribution of primes. I'm very sure that exists, but we can find out for sure - math.stackexchange.com/questions/4273186/… Commented Oct 10, 2021 at 23:16
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    JWTanner comments on Math: The number of primes up to xis approximately x / (ln x) Commented Oct 10, 2021 at 23:21
  • That number of primes is the formula for the prime number theorem, which is what I mentioned. Commented Oct 11, 2021 at 4:45
  • There is an older answer for this - math.stackexchange.com/questions/642775/… Commented Oct 11, 2021 at 23:32