Timeline for Wanted: multiple primes in $(\frac{5n}6,n)$
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 27, 2018 at 13:17 | history | edited | S. Carnahan♦ | CC BY-SA 4.0 |
appended answer 313869 as supplemental
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| Oct 26, 2018 at 17:30 | vote | accept | John McVey | ||
| Oct 24, 2018 at 17:02 | history | edited | John McVey | CC BY-SA 4.0 |
added 20 characters in body
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| Oct 24, 2018 at 16:42 | comment | added | John McVey | @EmilJeřábek You're right. I didn't check that my code for some reason recorded 47 as being in this interval. Mea culpa. | |
| Oct 24, 2018 at 16:29 | comment | added | Emil Jeřábek | As far as I can see, the correct $n_0$ is $60$. There is only one prime in $(49{.}17,59)$. | |
| Oct 24, 2018 at 16:21 | answer | added | Gerhard Paseman | timeline score: 9 | |
| Oct 24, 2018 at 15:37 | comment | added | Robert Israel | @PeterHumphries More than just "a bit" of work, I think. If it was just "a bit", there would be no need to publish those "Better results". | |
| Oct 24, 2018 at 15:31 | answer | added | Zhi-Wei Sun | timeline score: 6 | |
| Oct 24, 2018 at 15:30 | comment | added | Peter Humphries | And I don't understand why you insist on a better way; sure, modifications of the proof of Bertrand's postulate will work, but they'll take a bit of work. Why not just cite a paper that does the work for you? If it's for a research paper, why not kill a mosquito with a nuke if you can? I don't think the reader will be so bothered that you haven't used the simplest tools. | |
| Oct 24, 2018 at 15:27 | comment | added | Peter Humphries | Can you not just use Corollary 5.2 of doi.org/10.1007%2Fs11139-016-9839-4 ? This will solve the problem for $n$ large but finite, and a computer search will get you the rest of the way down to $n = n_0 = 32$. | |
| Oct 24, 2018 at 15:20 | comment | added | Sylvain JULIEN | For the aside question : most number theorists write $ \log^{2} x $ to mean $(\int_{1}^{x}\frac{dt}{t})^2 $, while $\log_{2}x $ usually denotes what in calculus would appear as $ \ln(\ln(x)) $ . | |
| Oct 24, 2018 at 15:13 | history | asked | John McVey | CC BY-SA 4.0 |