Edit - MathOverflow

You are not logged in. Your edit will be placed in a queue until it is peer reviewed.

We welcome edits that make the post easier to understand and more valuable for readers. Because community members review edits, please try to make the post substantially better than how you found it, for example, by fixing grammar or adding additional resources and hyperlinks.

2

$\begingroup$ The stated reason for why it's likely false is a bit of a nothingburger. An actual heuristic against it can be given using percolation theory - if you consider $k\times k$ blocks inside $\Bbb Z[i]$ for any $k$, then the ones containing a Gaussian prime will have density zero, and site percolation thresholds state that given a random subset of a lattice of low enough density, then there will almost surely be no path to infinity. $\endgroup$

Wojowu
– Wojowu

2026-04-07 12:20:15 +00:00
Commented Apr 7 at 12:20

Add a comment |

Correct minor typos or mistakes
Clarify meaning without changing it
Add related resources or links
Always respect the author’s intent
Don’t use edits to reply to the author

create code fences with backticks ` or tildes ~
```
like so
```
add language identifier to highlight code
```python
def function(foo):
print(foo)
```
put returns between paragraphs
for linebreak add 2 spaces at end
_italic_ or **bold**
quote by placing > at start of line
to make links (use https whenever possible)

<https://example.com>

[example](https://example.com)

<a href="https://example.com">example</a>
MathJax equations $\sin^2 \theta$

formatting help »
answering help »

MathJax help »