Timeline for Intersection of $\{2^a 3^b 5^c 7^d\}$ and its translates
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 13, 2018 at 1:22 | vote | accept | Ryan Shesler | ||
| Dec 12, 2018 at 20:30 | comment | added | Mike Bennett | Well, the bound we can prove increases (or so I believe), but the conjectured bound does not. | |
| Dec 12, 2018 at 18:26 | comment | added | Ryan Shesler | Right, so does this mean that as k increases and so does the number of prime divisors, the bound increases without bound (literary paradox intended but irrelevant) @MikeBennett | |
| Dec 12, 2018 at 17:47 | comment | added | Mike Bennett | For fixed $k$, the number can be bounded in terms of the number of prime divisors of $k$. Conjecturally, if $k$ is relatively prime to $210$, the number should be absolutely bounded. | |
| Dec 12, 2018 at 17:37 | comment | added | Ryan Shesler | This is absolutely fantastic, thank you. I have a quick question, just out of curiosity - if I take the limit as $k \to \infty$, is the number of solutions always finite, even at infinity? | |
| Dec 12, 2018 at 17:16 | history | answered | Mike Bennett | CC BY-SA 4.0 |