593

Number
$593$ (five hundred and ninety-three) is:


 * The $108$th prime number


 * The largest positive integer that cannot be expressed in the form $23 x + 28 y$ for positive integers $x$ and $y$.


 * The $10$th balanced prime after $5$, $53$, $157$, $173$, $211$, $257$, $263$, $373$, $563$:
 * $593 = \dfrac {587 + 599} 2$


 * The $27$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $233$, $239$, $251$, $281$, $293$, $359$, $419$, $431$, $443$, $491$, $509$:
 * $2 \times 593 + 1 = 1187$, which is prime.


 * The $41$st long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $491$, $499$, $503$, $509$, $541$, $571$, $577$

Also see

 * Largest Number not Expressible as Sum of Multiples of 23 and 28