761

Number
$761$ (seven hundred and sixty-one) is:


 * The $135$th prime number.


 * The $34$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $431$, $443$, $491$, $509$, $593$, $641$, $653$, $659$, $683$, $719$, $743$:
 * $2 \times 761 + 1 = 1523$, which is prime.


 * The smaller of the $12$th pair of primes whose prime gap is $8$:
 * $769 - 761 = 8$