173

Number
$173$ (one hundred and seventy-three) is:


 * The $40$th prime number


 * The $13$th Sophie Germain prime after $2, 3, 5, 11, 23, 29, 41, 53, 83, 89, 113, 131$:
 * $2 \times 173 + 1 = 347$, which is prime.


 * The $10$th of $11$ primes of the form $2 x^2 + 11$:
 * $2 \times 9^2 + 11 = 173$


 * The $8$th inconsummate number after $62, 63, 65, 75, 84, 95, 161$:
 * $\nexists n \in \Z_{>0}: n = 173 \times s_{10} \left({n}\right)$