Primality proof for n = 881:

Take b = 2.

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

11 is prime.
b^((n-1)/11)-1 mod n = 665, which is a unit, inverse 363.

5 is prime.
b^((n-1)/5)-1 mod n = 285, which is a unit, inverse 847.

(5 * 11) divides n-1.

(5 * 11)^2 > n.

n is prime by Pocklington's theorem.