Timeline for Knight tour prime (conjecture)
Current License: CC BY-SA 3.0
16 events
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| Jul 2, 2013 at 17:49 | history | wiki removed | François G. Dorais | ||
| Nov 13, 2012 at 19:17 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 18, 2012 at 7:47 | comment | added | timur | I think I have an argument for even n, but people seem to care more about an argument that uses more machinery even though it gives a partial solution than an elementary argument that gives a full solution. I am just wondering. | |
| May 16, 2012 at 6:05 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 9, 2012 at 20:16 | comment | added | GH from MO | @Johan: Thank you, I was not aware of this improvement by Heath-Brown. | |
| May 9, 2012 at 18:05 | comment | added | Eric Naslund | @GH, @Johan Andersson Thank you for your comments. I have updated the answer. | |
| May 9, 2012 at 18:05 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 9, 2012 at 14:05 | comment | added | Johan Andersson | @GH Heath-Brown (1980s) used sieve methods to improve on Huxley's result slightly, to show that $\theta=7/12$ is admissible. In fact he proved that we may choose $\theta=7/12-w(x)$ for any function such that $w(x)=o(1)$. | |
| May 8, 2012 at 22:56 | comment | added | Roberto Bosch Cabrera | @Eric Naslund: thanks a lot for your comments. The case when $n$ is odd is easy, as you noted, I'm not wrote precisely my comment to conjecture, it must be $n$ even between $4$ and $100$, I'm sorry. Your improve to path in general is good, we need a bound for $n$ such that we can use a computer. | |
| May 8, 2012 at 22:42 | comment | added | GH from MO | I think you misquoted the result of Baker-Harman-Pintz: they only show the right order of magnitude for the primes in the interval, not an asymptotic formula. As far as I know, the best asymptotic result is still Huxley's theorem from the early 70s: any $\theta>7/12$ is admissible in your first "Remark". | |
| May 8, 2012 at 21:46 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 8, 2012 at 20:11 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 8, 2012 at 20:00 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 8, 2012 at 19:55 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 8, 2012 at 19:48 | history | edited | Eric Naslund | CC BY-SA 3.0 |
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| May 8, 2012 at 19:41 | history | answered | Eric Naslund | CC BY-SA 3.0 |