TITLE: Is $7$ the only prime followed by a cube?
QUESTION [279 upvotes]: I discovered this site which claims that "$7$ is the only prime followed by a cube".  I find this statement rather surprising.  Is this true?  Where might I find a proof that shows this?
In my searching, I found this question, which is similar but the answers seem focused on squares next to cubes.
Any ideas?

REPLY [16 votes]: Wouldn't $-2$ also be a prime followed by $-1$ which is a cube of $-1$.
As $x^2 + x +1$ will also equal one for $x=-2$.