Timeline for Primality of $\ \frac{b^p-a^p}{b-a}$
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Mar 25, 2022 at 10:24 | history | edited | GH from MO | CC BY-SA 4.0 |
fixed typo
|
| Mar 25, 2022 at 9:29 | history | edited | Wlod AA | CC BY-SA 4.0 |
Extra. Another similar conjecture.
|
| Mar 25, 2022 at 9:24 | history | edited | Wlod AA | CC BY-SA 4.0 |
Extra. A narrower conjecture (stronger).
|
| Mar 25, 2022 at 9:16 | comment | added | Wlod AA | @GHfromMO, thank you. | |
| Mar 25, 2022 at 9:04 | comment | added | GH from MO | The conjecture is a special case (or weaker version) of Bunyakovsky's conjecture: there should be infinitely many solutions even with $a=1$ (for any given $p$). I am certain that even this special case (or weaker version) is out of reach. See en.wikipedia.org/wiki/… | |
| Mar 25, 2022 at 8:53 | comment | added | YCor | Up to which number have you checked the conjecture? | |
| Mar 25, 2022 at 8:52 | history | edited | YCor | CC BY-SA 4.0 |
added question
|
| Mar 25, 2022 at 8:51 | comment | added | Wlod AA | @YCor, the word "conjecture" is both a guess and a question about the validity of the guess. | |
| Mar 25, 2022 at 8:48 | comment | added | Wlod AA | @PiotrAchinger, "Conjecture" is a synonym of "question" (while "conjecture" is more specific than a general "question"). #### The question is: can you prove it? | |
| Mar 25, 2022 at 8:45 | comment | added | Piotr Achinger | What is the question exactly? | |
| Mar 25, 2022 at 8:45 | comment | added | Wlod AA | @YCor, yes, I've formulated it. #### No, I never saw it anywhere at any time; this conjecture is so simple that there is a good chance that I was not the first. | |
| Mar 25, 2022 at 8:36 | comment | added | YCor | Would you add some context? Is this a conjecture found somewhere, or a conjecture you formulated? Are you asking whether this is true, or whether this is known (as a conjecture)? | |
| Mar 25, 2022 at 8:22 | history | asked | Wlod AA | CC BY-SA 4.0 |