Timeline for A very slowly diverging series
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 1, 2019 at 21:20 | vote | accept | FusRoDah | ||
| Nov 1, 2019 at 3:16 | answer | added | so-called friend Don | timeline score: 5 | |
| Oct 31, 2019 at 13:35 | comment | added | Yaakov Baruch | This does not work, but perhaps something along the lines might: I think that the integer series $np_{p_n}-p_n^2-(n-1)p_{p_{n-1}}+p_{n-1}^2$ may on average grow like $2p_n\log\log p_n$, but its individual values fly around and are often negative. | |
| Oct 31, 2019 at 7:33 | comment | added | Greg Martin | @Aeryk as it turns out, the $n$th term of that series is asymptotically $p_n \log p_n \sim n \log^2 n$, and so the sum of its reciprocals converges. | |
| Oct 31, 2019 at 2:40 | comment | added | Aeryk | Maybe: the $p$th primes where $p$ itself is prime? E.g. 3, 5, 11, 17, 31, ... | |
| Oct 30, 2019 at 19:24 | comment | added | MyNinthAccount | Maybe: the primes $q$ such that $q-1$ has no odd prime divisor up to $C\log(q)$ (unsure what the constant $C$ should be). | |
| Oct 30, 2019 at 19:14 | comment | added | MyNinthAccount | Are there are "natural" sets with density $1/\log(X)\log\log(X)$? | |
| Oct 30, 2019 at 16:15 | history | asked | FusRoDah | CC BY-SA 4.0 |