Timeline for Primes that are the sum of three squares
Current License: CC BY-SA 3.0
4 events
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Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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Mar 23, 2012 at 23:36 | comment | added | Will Jagy | @Joseph, I think you may have a chance with this variant: cyclically fix $x,y,z.$ Suppose $x$ is the one fixed this turn, with $x=a.$ we currently have a prime at $(a,b,c).$ Now, vary $(y,z)$ with some restriction on either direction or modulus, if the latter $y^2 + z^2 > b^2 + c^2,$ demanding a new prime. Possibly some restrictions on direction. The difference is that it may be possible to show that there really are infinitely many primes $1 + y^2 + z^2$ for example. I will see what I can find on that...if not certain in this dimension, there are infinitely many primes $1 + x^2 + y^2 + z^2.$ | |
Mar 23, 2012 at 23:08 | vote | accept | Joseph O'Rourke | ||
Mar 22, 2012 at 21:37 | history | answered | Will Jagy | CC BY-SA 3.0 |