Timeline for Congruence and quadratic residues
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 16, 2019 at 12:53 | vote | accept | DesmondMiles | ||
| Apr 16, 2019 at 9:56 | vote | accept | DesmondMiles | ||
| Apr 16, 2019 at 9:57 | |||||
| Apr 16, 2019 at 9:56 | comment | added | DesmondMiles | A friend saw it in an Oxford past paper in Elliptic Curves. The original one wants to find a solution in $\mathbb{Q}_p$ and he told me that he somehow figured out it is enough to show it in the rational integers (I am still not much into p-adics). | |
| Apr 15, 2019 at 19:05 | answer | added | W-t-P | timeline score: 2 | |
| Apr 15, 2019 at 13:12 | comment | added | Gerry Myerson | Curious problem. Where does it come from, please? | |
| Apr 15, 2019 at 11:47 | comment | added | DesmondMiles | Yes, I count $0$ as a square, too. Anyway, in case $p_1$ is a square $mod p$, they must either both be squares, or both not be squares. To attack the latter seems much harder, though. | |
| Apr 15, 2019 at 11:41 | comment | added | Leo163 | Notice that, in general, you don't need both $x^2-p_2p_3$ and $x^2+p^2p_3$ to be squares, since one of them could be $0$. | |
| Apr 15, 2019 at 11:31 | history | asked | DesmondMiles | CC BY-SA 4.0 |