Timeline for Conjecture about harmonic numbers
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 27, 2017 at 10:47 | comment | added | Gottfried Helms | Gerhard, please see my answer-box for more significant $n$ and a fast routine to find them. | |
| Jan 26, 2017 at 21:16 | comment | added | მამუკა ჯიბლაძე | ..and then comes $-.000000690873$ at $n=91379$ | |
| Jan 26, 2017 at 21:00 | comment | added | მამუკა ჯიბლაძე | Sorry don't know how this happened but that champion was up to $1000$, not $10000$. Up to $10000$ it is $-.00000139117$ for $n=4549$, the next one is $-.000001155$ for $n=33616$ | |
| Jan 26, 2017 at 14:46 | comment | added | Gerhard Paseman | It is. Note that for n=226, A is almost 1, while for n=227, A is almost 1/227. Gerhard "Small Numbers Law Strikes Again" Paseman, 2017.01.26. | |
| Jan 26, 2017 at 9:00 | comment | added | Sylvain JULIEN | Which is $ 2\times 113 $ , for which the ratio $ \frac{\pi(n)\log n}{n} $ is maximal. Is it just a coincidence ? | |
| Jan 26, 2017 at 8:37 | comment | added | მამუკა ჯიბლაძე | With my calculations, up to $n=10000$ the largest value of $\frac{\log(H_n-\lfloor H_n\rfloor)}{\log n}$ is $-0.00000711715$, attained at $n=226$. | |
| Jan 26, 2017 at 6:35 | history | answered | Gerhard Paseman | CC BY-SA 3.0 |