919

Number
$919$ (nine hundred and nineteen) is:
 * The $157$th prime number.


 * The $18$th centered hexagonal number after $1, 7, 19, 37, 61, 91, 127, 169, 217, 271, 331, 397, 469, 547, 631, 721, 817$:
 * $919 = \displaystyle 1 + \sum_{k \mathop = 1}^{18 - 1} 6 k = 18^3 - 17^3$


 * The $19$th palindromic prime:
 * $2$, $3$, $5$, $7$, $11$, $101$, $131$, $151$, $181$, $191$, $313$, $353$, $373$, $383$, $727$, $757$, $787$, $797$, $919$, $\ldots$


 * The larger of the $13$th pair of primes whose prime gap is $8$:
 * $919 - 911 = 8$


 * The smaller of the $16$th pair of primes whose prime gap is $10$:
 * $929 - 919 = 10$


 * The $4$th and last of the $4$ cubic recurring digital invariants after $55, 136, 160$:
 * $919 \to 1459 \to 919$

Also see