Timeline for Does $2^x-3p^y=5$ (with $p$ an odd prime) have only finitely many positive integer solutions?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Sep 2, 2018 at 5:48 | vote | accept | qrilove | ||
| Sep 2, 2018 at 5:43 | comment | added | qrilove | Thank you for editing my question. This is my first time to use the mathoverflow .I do not know how to accept this officially. I'm sorry. And I am trying to find how to accept it. | |
| Sep 2, 2018 at 4:10 | comment | added | GH from MO | If you like my answer, please accept it officially (so that it turns green). Thanks in advance! | |
| Sep 2, 2018 at 2:58 | history | edited | j.c. | CC BY-SA 4.0 |
make title more specific
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| Sep 2, 2018 at 2:00 | review | Close votes | |||
| Sep 2, 2018 at 2:55 | |||||
| Sep 2, 2018 at 1:59 | history | edited | Arturo Magidin | CC BY-SA 4.0 |
edited title
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| Sep 2, 2018 at 1:59 | comment | added | GH from MO | I edited your question. It had lots of typos, and it did not use TeX. | |
| Sep 2, 2018 at 1:59 | history | edited | GH from MO | CC BY-SA 4.0 |
deleted 103 characters in body; edited tags
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| Sep 2, 2018 at 1:57 | answer | added | GH from MO | timeline score: 25 | |
| Sep 2, 2018 at 1:49 | comment | added | KConrad | I don't know why this was downvoted, but this is an exponential Diophantine equation (the exponents are not fixed, but are part of the problem) and as such I suspect it might be a hard problem to solve directly. But it is known that such equations would have finitely many solutions in positive integers $x$, $p$, $y$ as a consequence of the $abc$ conjecture. See page numbers 43 and 44 of Lang's paper "Old and New Conjectured Diophantine Inequalities" for the equation $Au^m + Bv^m = k$, which can be seen at projecteuclid.org/download/pdf_1/euclid.bams/1183555717. | |
| Sep 2, 2018 at 1:35 | review | First posts | |||
| Sep 2, 2018 at 3:31 | |||||
| Sep 2, 2018 at 1:31 | history | asked | qrilove | CC BY-SA 4.0 |