Timeline for Almost "dense" subsets of primes (and may be not only primes)
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 27, 2021 at 16:10 | comment | added | mathworker21 | $\sum \frac{1}{p\log\log p}$. | |
| Dec 27, 2021 at 15:10 | comment | added | tzimie | Thank you, I was also thinking about almost the same. Taking n=100 we get some limit B(100). As n increases, B(n) increases as well. Full set of primes is a limit B(inf). however, it would be much more interesting to have a function F with a property that F(n<666) (or some other value) is finite, while F(667) is not. N(n) is always finite for finite n, so we cant "tackle" the border. | |
| Dec 27, 2021 at 14:56 | comment | added | Gerry Myerson | How about the set of all primes $p$ such that there is at least one prime other than $p$ between $p-100$ and $p+100$? I'm guessing the convergence argument for twin primes could be strengthened to apply to such primes, giving a finite-but-large sum. | |
| Dec 27, 2021 at 14:50 | comment | added | Gerry Myerson | Reads like a fishing expedition. | |
| Dec 27, 2021 at 14:03 | history | asked | tzimie | CC BY-SA 4.0 |