Primality proof for n = 10399:
Take b = 2.
b^(n-1) mod n = 1.
1733 is prime. b^((n-1)/1733)-1 mod n = 63, which is a unit, inverse 7758.
(1733) divides n-1.
(1733)^2 > n.
n is prime by Pocklington's theorem.