Definitions
,
Results
,
Conjectures
Conjecture
on
D571: Prime integer
Legendre's conjecture
Formulation 0
Let $P$ be the
D2276: Set of prime integers
.
Let $n \geq 1$ be a
D5094: Positive integer
.
Then \begin{equation} \exists \, p \in P : n^2 \leq p \leq (n + 1)^2 \end{equation}