Primality proof for n = 9839:
Take b = 2.
b^(n-1) mod n = 1.
4919 is prime. b^((n-1)/4919)-1 mod n = 3, which is a unit, inverse 3280.
(4919) divides n-1.
(4919)^2 > n.
n is prime by Pocklington's theorem.