743

Number

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

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.

The $43$rd left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $443$, $467$, $523$, $547$, $613$, $617$, $643$, $647$, $653$, $673$, $683$

The $48$th long period prime after $7$, $17$, $19$, $23$, $29$, $\ldots$, $491$, $499$, $503$, $509$, $541$, $571$, $577$, $593$, $619$, $647$, $659$, $701$, $709$, $727$