Primality proof for n = 7287076501559:

Take b = 2.

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

28597 is prime.
b^((n-1)/28597)-1 mod n = 1778141898950, which is a unit, inverse 2976823924432.

28307 is prime.
b^((n-1)/28307)-1 mod n = 492222539746, which is a unit, inverse 1985604159647.

(28307 * 28597) divides n-1.

(28307 * 28597)^2 > n.

n is prime by Pocklington's theorem.