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 $10$:
 * $557 - 547 = 10$