Timeline for Gaussian prime spirals
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 8 at 14:21 | comment | added | Bryan Wright | The link to "A Stroll Through the Integer Primes" no longer works, but it can be found in the Wayback Machine here: web.archive.org/web/20120415171123/http://mathdl.maa.org/images/… | |
| Mar 12, 2017 at 22:06 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Image links broken; now fixed.
|
| Mar 23, 2012 at 23:08 | vote | accept | Joseph O'Rourke | ||
| Mar 22, 2012 at 22:33 | comment | added | Greg Martin | Suppose the Gaussian prime $k$-tuples conjecture were true with the expected order of magnitude; in your example, suppose that $a+bi$, $(a+4)+bi$, $(a+4)+(b+8)i$, ..., $a+(b+6)i$ were all Gaussian primes for $\gg X/(log X)^k$ values $1\le a,b\le X$. Then the "$(k+1)$-tuples conjecture" (i.e., the same conjecture with one additional required prime value) would also imply that most of the time there were no other intervening Gaussian primes - those examples would be $\ll X/(log X)^{k+1}$ in number). | |
| Mar 19, 2012 at 6:45 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
spacing
|
| Mar 18, 2012 at 16:35 | comment | added | Joseph O'Rourke | Very insightful, Barry! (I added a picture of your 8-cycle.) | |
| Mar 18, 2012 at 16:34 | history | edited | Joseph O'Rourke | CC BY-SA 3.0 |
Added figure as per Barry's request.
|
| Mar 18, 2012 at 16:09 | history | answered | Barry Cipra | CC BY-SA 3.0 |