Timeline for Size of largest square divisor of a random integer
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 23, 2020 at 14:15 | comment | added | Joseph O'Rourke | @smci: Slope is about $0.71$, but I plotted w.r.t. $\log_{10}$. The constant in Yuval's $E_n(r)$ is $3/\pi^2$, and $(3/\pi^2) \log(10) \approx 0.70$; so that matches. And, as Yuval says, for $N=10^{10}$, the expected value of $r$ is about $7$, which accords with my chart, and with $0.70 \times 10 = 7$. | |
| Dec 23, 2020 at 11:57 | history | edited | Joseph O'Rourke | CC BY-SA 4.0 |
added 5 characters in body
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| Dec 23, 2020 at 10:36 | comment | added | smci | What is the slope and how close to $6/\pi^2$ is it? | |
| Dec 23, 2020 at 2:54 | history | answered | Joseph O'Rourke | CC BY-SA 4.0 |