Primality proof for n = 438281:
Take b = 2.
b^(n-1) mod n = 1.
10957 is prime. b^((n-1)/10957)-1 mod n = 27604, which is a unit, inverse 232938.
(10957) divides n-1.
(10957)^2 > n.
n is prime by Pocklington's theorem.