Primality proof for n = 10067:

Take b = 2.

b^(n-1) mod n = 1.

719 is prime.
b^((n-1)/719)-1 mod n = 6316, which is a unit, inverse 3234.

(719) divides n-1.

(719)^2 > n.

n is prime by Pocklington's theorem.