Primality proof for n = 2207:
Take b = 2.
b^(n-1) mod n = 1.
1103 is prime. b^((n-1)/1103)-1 mod n = 3, which is a unit, inverse 736.
(1103) divides n-1.
(1103)^2 > n.
n is prime by Pocklington's theorem.