Albert’s function $V(x)$ be defined as $V(x) \equiv 1\cdot 1! + 3\cdot 2! + 5\cdot 3! + \cdots + (2x – 1)\cdot x! \pmod{1000}$ when $0 \le V(x) < 1000$. Find the smallest integer $n$ such that $V(n) = V(p)$ when $p < n$ and $p$ is also an integer.