Timeline for Existence of range of numbers containing a coprime to given n
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 1, 2016 at 0:17 | comment | added | Gerhard Paseman | Sort of not really. The recent paper of Ford Green Konyagin Maynard and Tao observe that most approaches to lower bounds on prime gaps (and thus approaching Cramer's conjecture) take a route involving Jacobsthal's Function, at least implicitly. For Cramer's conjecture, I think not only is Jacobsthal's function needed, but also knowledge of how composite numbers replace the totatives and "fill in the gaps inside the gap". That requires a better understanding and description of how coprimes are distributed than we have at present. Gerhard "It Depends On The Telling" Paseman, 2016.07.31. | |
| Jul 31, 2016 at 18:23 | history | edited | Seva | CC BY-SA 3.0 |
reference added
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| Jul 31, 2016 at 17:58 | comment | added | Sylvain JULIEN | Is it anyhow related to Cramer's conjecture? The composite numbers between $p_{n}$ and $p_{n+1}$ are coprime with both $p_{n}$ and $p_{n+1}$, and Cramer's conjecture predicts that $p_{n+1}-p_{n}=O(\log^{2} p_{n})$. | |
| Jul 31, 2016 at 16:40 | vote | accept | Mehdi Yazdi | ||
| Jul 31, 2016 at 16:39 | history | answered | Seva | CC BY-SA 3.0 |