Timeline for $Ax^2 + By^3$ representing infinitely many primes
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 5, 2019 at 5:15 | history | edited | Seewoo Lee | CC BY-SA 4.0 |
my conjecture was wrong!
|
| Feb 5, 2019 at 2:09 | comment | added | Noam D. Elkies | Careful -- that's much harder because of the possibility of massive cancellation. For example, the prime 971 occurs but not before y = -265. (There are much worse examples, but with smaller alternative solutions; e.g. 17 = 9+8 is also 378661^2 - 5234^3.) | |
| Feb 5, 2019 at 1:24 | history | edited | Seewoo Lee | CC BY-SA 4.0 |
added 260 characters in body
|
| Feb 5, 2019 at 1:01 | comment | added | Seewoo Lee | @KonstantinosKanakoglou I just wrote a program with C++, and as Elkies said, I assume that both $x$ and $y$ are positive. I'll add a table that also allows negative $y$. | |
| Feb 5, 2019 at 0:38 | comment | added | Konstantinos Kanakoglou | You are probably right. I was just wondering whether similar sequences were recorded in OEIS | |
| Feb 5, 2019 at 0:26 | comment | added | Noam D. Elkies | It's easier to compute such data than to find it in the literature . . . (assuming, as seems to be the case here, that only positive $x,y$ are allowed). | |
| Feb 5, 2019 at 0:15 | comment | added | Konstantinos Kanakoglou | do you have a reference available for this result ? | |
| Feb 5, 2019 at 0:06 | history | answered | Seewoo Lee | CC BY-SA 4.0 |