4998

Number
$4998$ (four thousand, nine hundred and ninety-eight) is:


 * $2 \times 3 \times 7^2 \times 17$


 * The $20$th integer $n$ after $3$, $4$, $5$, $6$, $7$, $8$, $10$, $15$, $19$, $41$, $59$, $61$, $105$, $160$, $661$, $2653$, $3069$, $3943$, $4053$ such that $m = \ds \sum_{k \mathop = 0}^{n - 1} \paren {-1}^k \paren {n - k}!$ is prime