911
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Number
$911$ (nine hundred and eleven) is:
- The $156$th prime number
- The smaller of the $13$th pair of primes whose prime gap is $8$:
- $919 - 911 = 8$
- The $36$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $431$, $443$, $491$, $509$, $593$, $641$, $653$, $659$, $683$, $719$, $743$, $761$, $809$:
- $2 \times 911 + 1 = 1823$, which is prime.
- The $41$st near-repdigit prime after $101$, $113$, $131$, $151$, $\ldots$, $727$, $733$, $757$, $773$, $787$, $797$, $811$, $877$, $881$, $883$, $887$