Timeline for Behavior of the "mean prime factor" of numbers
Current License: CC BY-SA 3.0
4 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Oct 6, 2015 at 10:21 | comment | added | Joseph O'Rourke | Thanks, @Lucia. That makes sense, and seems to explain the linear vs quadratic behavior. | |
| Oct 5, 2015 at 23:00 | comment | added | Lucia | It seems to me that the first graph is counting integers in $[k^2,(k+1)^2]$ with two prime factors, and the length of the interval is linear in $k$. The second graph weighs heavily numbers with three prime factors in the interval $[k^3,(k+1)^3]$ and the length of this interval is quadratic in $k$. (In the second case you may also be counting numbers with two prime factors, and this would muddy the quadratic feature a little bit.) | |
| Oct 5, 2015 at 21:38 | history | asked | Joseph O'Rourke | CC BY-SA 3.0 |