Timeline for Regarding the digit expansion of $\sqrt 7$
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 9 at 18:06 | history | edited | Emil Jeřábek | CC BY-SA 4.0 |
disallow $i=n$ per comments on the answer
|
| Aug 9 at 17:56 | history | edited | Daniel Asimov | CC BY-SA 4.0 |
result —> question
|
| Aug 9 at 15:20 | comment | added | Aleksei Kulikov | "the question of finiteness of solutions is still open" -- if you mean in the sense that nobody cared to do it I would believe you, but I'm pretty sure it is doable with modern number theory tools. | |
| Aug 9 at 15:12 | comment | added | user534817 | I louked for equations of the form $x^2=7^y+d$, it seems that for some values of $d$, the question of finiteness of solutions is still open. | |
| Aug 9 at 12:06 | answer | added | Aleksei Kulikov | timeline score: 7 | |
| Aug 9 at 11:56 | comment | added | Aleksei Kulikov | Oh wait, you do allow $i = n$. Then I think I can prove that it is true (and indeed holds for $K = 0$). | |
| Aug 9 at 11:30 | comment | added | Aleksei Kulikov | I believe (the negation of) this roughly should mean that one of the Pell equations $x^2-7y^2 = d$ for some $|d| < 11$ should have infinitely many solutions with $y$ being a power of $7$, which might be possible to rule out by the linear forms in logarithms or some more elementary means? | |
| Aug 9 at 11:17 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
a minor typo
|
| S Aug 9 at 11:03 | review | First questions | |||
| Aug 9 at 11:07 | |||||
| S Aug 9 at 11:03 | history | asked | user534817 | CC BY-SA 4.0 |