Timeline for Primes of the form $p=x^2-ny^2$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Feb 6, 2018 at 16:07 | history | edited | GH from MO |
edited tags
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| Feb 6, 2018 at 16:05 | answer | added | GH from MO | timeline score: 5 | |
| Feb 6, 2018 at 15:23 | answer | added | user25406 | timeline score: -3 | |
| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Nov 1, 2016 at 14:44 | comment | added | wrigley | In general it's a complicated question in class field theory. If Q(sqrt(n)) has non-trivial class group then you have the global complicated problem that a prime p splits into two principal primes in the integers of Q(sqrt(n)) iff it splits completely in the Hilbert class field, which is in general a non-abelian extension of Q so there will be no "formula" for this, there will just be density or growth results. And then on top of that you have the issue about Z[sqrt(n)] v full ring of integers of Q(sqrt(n)) and also the sign of a fundamental unit. So, lots and lots known but hard to summarise. | |
| Nov 1, 2016 at 13:58 | history | asked | Martin | CC BY-SA 3.0 |