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Dec 12, 2019 at 17:56 history edited Gerhard Paseman CC BY-SA 4.0
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Dec 9, 2019 at 22:45 comment added Gerhard Paseman Also I think Will's comment has a phrase that should instead read "the density of non pathological primes". Gerhard "What A Difference Non Makes" Paseman, 2019.12.09.
Dec 9, 2019 at 22:34 comment added Gerhard Paseman My question 221357 speaks to the growth of P_n(q) in general, and points to notes of Jameson which give more info on divisors of P_n(2). Gerhard "Going Link Lite For Now" Paseman, 2019.12.09.
Dec 9, 2019 at 22:18 comment added Will Sawin I guess this shows the density of pathological primes is no greater than the density of the numbers $P_n(2)$, which I guess grow roughly like $2^{\phi(n)}$ and thus almost exponentially. More realistically, if $P_n(2)$ has $\approx \frac{1}{n}$ chance of being prime then there should only be $\log \log \log X$ non-pathological primes up to $X$.
Dec 9, 2019 at 21:54 history edited Gerhard Paseman CC BY-SA 4.0
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Dec 9, 2019 at 21:36 history answered Gerhard Paseman CC BY-SA 4.0