TITLE: No prime number between number and square of number
QUESTION [5 upvotes]: Find the values of $x \in \mathbb{Z}$ such that there is no prime number between $x$ and $x^2$. Is there any such number?

REPLY [7 votes]: Given the current wording of the question, you can set $x$ to any integer in $\{-1, 0, 1\}$ and there will be no prime between $x$ and $x^2$.  For any other integer $x$, there will always be a prime between $x$ and $x^2$ (as noted in the comments to your question).