Timeline for Distance between primes that are quadratic residues modulo an other prime
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 17, 2018 at 21:03 | vote | accept | Daniel Soltész | ||
| Nov 14, 2018 at 19:44 | answer | added | GH from MO | timeline score: 4 | |
| Nov 14, 2018 at 16:24 | history | edited | GH from MO | CC BY-SA 4.0 |
edited tags
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| Nov 13, 2018 at 17:50 | answer | added | Gerhard Paseman | timeline score: 1 | |
| Nov 13, 2018 at 12:05 | comment | added | Daniel Soltész | @GerhardPaseman I am fine with something "tossed together" and doing some work myself. | |
| Nov 12, 2018 at 20:00 | comment | added | Gerhard Paseman | OK. Lucia can give you a professional answer. I can toss one together, but you still have to do some work. I believe Chebotarev density theorem and quadratic reciprocity are the main components for the answer. Gerhard "Still Likes His Amateur Status" Paseman, 2018.11.12. | |
| Nov 12, 2018 at 19:10 | history | edited | Daniel Soltész | CC BY-SA 4.0 |
added 203 characters in body; edited title
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| Nov 12, 2018 at 19:08 | comment | added | Daniel Soltész | Whoops, for my purposes it is enough that for every fixed $k$ there is such a sequence. | |
| Nov 12, 2018 at 18:47 | comment | added | Daniel Soltész | Existence is fine for me. The fact that it is (more or less) obvious is consistent with my observation that no papers are bothered by this part of the argument. | |
| Nov 12, 2018 at 18:33 | comment | added | Gerhard Paseman | In fact, there should be density results (Chebotarev?) that would say how many primes q there are larger than and close to p^k that belong to a given congruence class mod p. You should be able to show existence with such results. (Of course, it is easy for fixed k. Still thinking about the general problem.) Gerhard "Like Lucia Said, There's Plenty" Paseman, 2018.11.12. | |
| Nov 12, 2018 at 18:18 | comment | added | Gerhard Paseman | Maybe reverse it: pick some nice primes p and look at primes q in the range p^k, 2p^k. Gerhard "Surely There Are Enough Primes" Paseman, 2018.11.12. | |
| Nov 12, 2018 at 18:06 | comment | added | Lucia | Do you want just existence or must it be constructive? I think existence is more or less obvious since a typical prime would satisfy this. | |
| Nov 12, 2018 at 17:57 | history | asked | Daniel Soltész | CC BY-SA 4.0 |