547

Number
$547$ (five hundred and forty-seven) is:


 * The $101$st prime number


 * The $14$th centered hexagonal number after $1$, $7$, $19$, $37$, $61$, $91$, $127$, $169$, $217$, $271$, $331$, $397$, $469$:
 * $547 = \displaystyle 1 + \sum_{k \mathop = 1}^{14 - 1} 6 k = 14^3 - 13^3$


 * The smaller of the $8$th pair of primes whose prime gap is $10$:
 * $557 - 547 = 10$