Timeline for Can $9xy$ divide $1+x^2+x^3+y^2$?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Mar 8 at 12:04 | vote | accept | Bogdan Grechuk | ||
| Mar 8 at 11:48 | answer | added | Bogdan Grechuk | timeline score: 41 | |
| Mar 6 at 23:12 | history | edited | Michael Hardy | CC BY-SA 4.0 |
edited body
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| Mar 6 at 18:01 | comment | added | Denis Shatrov | Consider a simpler problem: $xy \mid x^3 + x^d + 1 + y^2$, $d \in \{1, 2\}$. If $(x_0, y_0)$ is solution, then $(x_0, \frac{x_0^3 + x_0^d + 1}{y_0}, d)$ and $(\frac{y_0^2 + 1}{x_0}, y_0, 3 - d)$ are solutions as well. We can use this to find new solutions, but the size of solutions grows very fast. | |
| Mar 6 at 12:36 | history | edited | Bogdan Grechuk | CC BY-SA 4.0 |
More congruence conditions added.
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| Mar 6 at 9:17 | comment | added | Bogdan Grechuk | I now searched for |y| up to 100 millions and |x| up to 300 millions, with no solutions found. The question is updated to include this information. | |
| Mar 6 at 9:16 | history | edited | Bogdan Grechuk | CC BY-SA 4.0 |
I now searched for $|y|$ up to 100 millions and $|x|$ up to 300 millions.
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| Mar 4 at 12:34 | history | asked | Bogdan Grechuk | CC BY-SA 4.0 |