Primality proof for n = 4283:
Take b = 2.
b^(n-1) mod n = 1.
2141 is prime. b^((n-1)/2141)-1 mod n = 3, which is a unit, inverse 1428.
(2141) divides n-1.
(2141)^2 > n.
n is prime by Pocklington's theorem.