769

Number

$769$ (seven hundred and sixty-nine) is:

The larger of the $12$th pair of primes whose prime gap is $8$:

$769 - 761 = 8$

The $16$th Proth prime after $3$, $5$, $13$, $17$, $41$, $97$, $113$, $193$, $241$, $257$, $353$, $449$, $577$, $641$, $673$:

$769 = 3 \times 2^8 + 1$

The $27$th emirp after $13$, $17$, $31$, $37$, $\ldots$, $311$, $337$, $347$, $359$, $389$, $709$, $733$, $739$, $743$, $751$, $761$