Primality proof for n = 4297:

Take b = 2.

b^(n-1) mod n = 1.

179 is prime.
b^((n-1)/179)-1 mod n = 1727, which is a unit, inverse 1677.

(179) divides n-1.

(179)^2 > n.

n is prime by Pocklington's theorem.