Primality proof for n = 203333173:
Take b = 2.
b^(n-1) mod n = 1.
2420633 is prime. b^((n-1)/2420633)-1 mod n = 125851850, which is a unit, inverse 113605773.
(2420633) divides n-1.
(2420633)^2 > n.
n is prime by Pocklington's theorem.