Primality proof for n = 9801157:
Take b = 2.
b^(n-1) mod n = 1.
816763 is prime. b^((n-1)/816763)-1 mod n = 4095, which is a unit, inverse 543312.
(816763) divides n-1.
(816763)^2 > n.
n is prime by Pocklington's theorem.