Timeline for Is equation $xy(x+y)=7z^2+1$ solvable in integers?
Current License: CC BY-SA 4.0
15 events
| when toggle format | what | by | license | comment | |
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| May 2, 2022 at 15:06 | comment | added | Dima Pasechnik | @JulienPuydt - I replied to Bogdan's comment :-) | |
| May 2, 2022 at 14:14 | comment | added | Julien Puydt | @BogdanGrechuk Thanks! | |
| May 2, 2022 at 14:13 | comment | added | Julien Puydt | @DimaPasechnik Notice Wolfram Engine's freeness means free-as-no-cost, not free-as-freedom. I deliberately chose the word "opensource", because indeed if it's opensource, it can be ported to a free system. | |
| Apr 24, 2022 at 8:46 | comment | added | Dima Pasechnik | one does not need non-free Mathematica for non-graphics computations, Wolfram Engine is free to install and run for personal use. | |
| Apr 24, 2022 at 8:26 | comment | added | Bogdan Grechuk | @Julien Puydt. We implement this is Mathematica. The Mathematica code will be public, but to run the code one needs Mathematica, which is not free. On the other hand, all algorithms are in the paper that is available for free from arXiv arxiv.org/abs/2108.08705 and most of the algorithms are not difficult, so anyone who is interested may implement them in any open-source computer algebra system they like. | |
| Apr 24, 2022 at 0:22 | history | edited | GH from MO |
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| Apr 24, 2022 at 0:18 | comment | added | GH from MO | I added a short proof, inspired by Michael Stoll's nice arguments. | |
| Apr 23, 2022 at 23:46 | answer | added | GH from MO | timeline score: 20 | |
| Apr 23, 2022 at 18:49 | vote | accept | Bogdan Grechuk | ||
| Apr 23, 2022 at 12:17 | answer | added | Michael Stoll | timeline score: 35 | |
| Apr 23, 2022 at 8:57 | comment | added | individ | It is easy to write a parametrization of the solution of such an equation. $XY(X+Y)=qZ^2+K^2$ When heterogeneity occurs, the complexity of the solution increases dramatically. | |
| Apr 23, 2022 at 7:36 | comment | added | Julien Puydt | Any chance to see an opensource implementation? | |
| Apr 22, 2022 at 22:37 | comment | added | Bogdan Grechuk | We use Mathematica. We plan to make Vieta jumping implementation publicly available via Wolfram Community very soon. It solves many equations where standard FindInstance fails. Other parts of the program are currently not sufficiently clean and tested for the public release, but of course we plan to have everything public eventually. If you are interested to have untested version privately, and have access to Mathematica, you may e-mail Aubrey. | |
| Apr 22, 2022 at 22:14 | comment | added | Max Alekseyev | Is your program publicly available? | |
| Apr 22, 2022 at 21:48 | history | asked | Bogdan Grechuk | CC BY-SA 4.0 |