Timeline for Quadratic reciprocity for three primes?
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 16, 2020 at 4:05 | history | became hot network question | |||
| Jan 15, 2020 at 20:36 | vote | accept | Seva | ||
| Jan 15, 2020 at 20:24 | answer | added | Wojowu | timeline score: 13 | |
| Jan 15, 2020 at 20:16 | comment | added | Seva | @GerhardPaseman: I actually did some computations, which show that $M=48$ does not work: for any given $r_1,r_2,r_3$ co-prime with $48$, and any $\varepsilon\in\{-1,1\}$ there exist primes $p_1,p_2,p_3$ satisfying the condition. | |
| Jan 15, 2020 at 20:09 | comment | added | Gerhard Paseman | Working out the details may be messy, but you guys with CAS systems and number theory packages should be able to churn out data and then bin it according to residue by computer in moments. That should point you in the right direction. Gerhard "Assuming There Is A Direction" Paseman, 2020.01.15. | |
| Jan 15, 2020 at 20:02 | comment | added | Seva | @Wojowu: I thought of this, but working out the details seems messy (and not clear whether this will eventually work). | |
| Jan 15, 2020 at 19:59 | comment | added | Wojowu | I suspect you can take $p_3$ arbitrary, say $1\pmod 4$, and the pick $p_1,p_2$ with $p_1p_2=1\pmod p_3$. I will let someone else work outtge details though | |
| Jan 15, 2020 at 19:53 | history | asked | Seva | CC BY-SA 4.0 |