Timeline for What is prime power of this equation of p?
Current License: CC BY-SA 4.0
12 events
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| Dec 6, 2023 at 12:08 | history | edited | GH from MO | CC BY-SA 4.0 |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
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| May 19, 2015 at 11:53 | comment | added | Peter Mueller | @darya: Instead of asking a new question in a comment, you probably should pose this as another question. Also, you should tell why you are interested in this specific equation. | |
| May 19, 2015 at 10:12 | vote | accept | darya | ||
| May 19, 2015 at 10:12 | |||||
| May 19, 2015 at 10:09 | comment | added | darya | Thanks everyone for your help. Also I think if p^2+p+1=3q^a, where q and p are primes, then a=1. Is it true? | |
| May 19, 2015 at 4:20 | history | edited | José Hdz. Stgo. | CC BY-SA 3.0 |
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| May 19, 2015 at 0:55 | comment | added | GH from MO | @knsam: Having a full copy of the book would be wonderful. Having the relevant pages on Nagell-Ljunggren only (pp.110-) would be great, too! Thanks for your efforts. | |
| May 19, 2015 at 0:38 | comment | added | Geoff Robinson | Yes, actually Ho notes at the end of his paper that his Theorem A is covered by Ljunggren's work. | |
| May 19, 2015 at 0:29 | comment | added | knsam | One of the perks of being here at Queen's is that I have access to Prof. Paulo Ribenboim's remarkable collection of mathematical papers and books. I will see if I can access a copy of the book and post here tomorrow. :-) | |
| May 19, 2015 at 0:03 | comment | added | GH from MO | @knsam: Thank you, especially for the scan of Ljunggren's paper. In fact I emphasized the case $m=2$ in my earlier related post (mathoverflow.net/questions/177952/…), and the linked paper by Bugeaud and Mihailescu mentions other solved cases (by Nagell-Ljunggren) as well. BTW I would love to read a complete account of these results in English. Under my other MO response I linked here, it was remarked that Ribenboim's book about Catalan's conjecture discusses some cases in detail (starting with page 110), but I don't have access to this book. | |
| May 18, 2015 at 23:55 | comment | added | knsam | Just wanted to point out that Ljunggren's first part of the paper you refer to also solves the case $m = 2$ completely too. There was a recent question about this here on MO and I posted there a scan of the paper you cite. | |
| May 18, 2015 at 23:44 | history | answered | GH from MO | CC BY-SA 3.0 |