Timeline for Gaussian prime spirals
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Mar 19, 2012 at 10:00 | comment | added | user22202 | Just a remark regarding Greg Martin's nice question (although I know this wasn't really the question): Ignoring the case of whether $M$ is itself a rational prime or not, one way to construct a sequence $M^2+i^2$ all composite for $1\leq i \leq n-1$ is as follows: Consider $m^2+i^2$, $1\leq i \leq n-1$ for any $m\not=0$. Let $P$ be the product of all primes dividing these numbers and $m^{\prime}=m+P$. Then $(m^{\prime})^2 + i^2$ are all composite for $1\leq i \leq n-1$. In this case $m^{\prime}$ is the distance from one of the axes, so it is in line with what Barry Cipra pointed out. | |
| Mar 17, 2012 at 16:33 | comment | added | Joseph O'Rourke | Nice, Greg, you've addressed several of the symmetry issues that I now added as Q3. | |
| Mar 17, 2012 at 6:58 | history | answered | Greg Martin | CC BY-SA 3.0 |