3571

Number
$3571$ (three thousand, five hundred and seventy-one) is:


 * The $500$th prime number


 * The $10$th Lucas prime after $2$, $3$, $7$, $11$, $29$, $47$, $199$, $521$, $2207$.


 * The $17$th Lucas number after $(2)$, $1$, $3$, $4$, $7$, $11$, $18$, $29$, $47$, $76$, $123$, $199$, $322$, $521$, $843$, $1364$, $2207$:
 * $3571 = 1364 + 2207$


 * The $35$th centered hexagonal number after $1$, $7$, $19$, $37$, $61$, $91$, $127$, $\ldots$, $2791$, $2977$, $3169$, $3367$:
 * $3571 = \displaystyle 1 + \sum_{k \mathop = 1}^{35 - 1} 6 k = 35^3 - 34^3$