Primality proof for n = 991057:

Take b = 2.

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

1877 is prime.
b^((n-1)/1877)-1 mod n = 89255, which is a unit, inverse 708158.

(1877) divides n-1.

(1877)^2 > n.

n is prime by Pocklington's theorem.