Timeline for Let $X$ be a positive integer. Then $\pi{(X+\ln^2{X})}-\pi{(X-\ln^2{X})}>\ln{X}$?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 5 at 16:01 | vote | accept | Đào Thanh Oai | ||
| May 5 at 12:44 | answer | added | Bogdan Grechuk | timeline score: 12 | |
| May 4 at 15:51 | answer | added | Terry Tao | timeline score: 7 | |
| May 4 at 3:08 | answer | added | Lucia | timeline score: 9 | |
| S May 2 at 17:27 | history | suggested | J. W. Tanner | CC BY-SA 4.0 |
improved English
|
| May 2 at 17:09 | review | Suggested edits | |||
| S May 2 at 17:27 | |||||
| May 2 at 10:31 | comment | added | mathworker21 | @GerryMyerson Well, someone could have disproved it... | |
| May 2 at 9:47 | comment | added | Đào Thanh Oai | I thinks this conjecture is stronger than some old conjecture. Because $\ln x > 1, 2, 3, 4,.....$ when $x> e^{1}, e^{2}, e^{3}, e^{4}.....$ and with any positive interger $n$ then exist $x$ such that $(x-ln^2{x}, x+ln^2{x}) \subset (n^2, (n+1)^2)$ | |
| May 2 at 4:51 | history | edited | GH from MO |
edited tags
|
|
| May 2 at 4:51 | answer | added | GH from MO | timeline score: 15 | |
| May 2 at 3:43 | comment | added | Gerry Myerson | Given that no one has come close to proving that there is even a single prime in an interval of length $2\log^2x$ around $x$, what is the point of asking whether there are always $\log x$ primes in such an interval? | |
| May 2 at 3:24 | history | asked | Đào Thanh Oai | CC BY-SA 4.0 |