743

Number
$743$ (seven hundred and forty-three) is:


 * The $132$nd prime number.


 * The smaller of the $11$th pair of primes whose prime gap is $8$:
 * $751 - 743 = 8$


 * The $25$th emirp after $13$, $17$, $31$, $37$, $\ldots$, $311$, $337$, $347$, $359$, $389$, $709$, $733$, $739$


 * The $33$rd Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $233$, $239$, $251$, $281$, $293$, $359$, $419$, $431$, $443$, $491$, $509$, $593$, $641$, $653$, $659$, $683$, $719$:
 * $2 \times 743 + 1 = 1487$, which is prime.