1049

Number
$1049$ (one thousand and forty-nine) is:


 * The $176$th prime number


 * The larger of the $18$th pair of primes whose prime gap is $10$:
 * $1049 - 1039 = 10$


 * The smaller of the $38$th pair of twin primes:
 * $1051 - 1049 = 2$


 * The $41$st Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $\ldots$, $653$, $659$, $683$, $719$, $743$, $761$, $809$, $911$, $953$, $1013$, $1019$, $1031$:
 * $2 \times 1049 + 1 = 2099$, which is prime.