Primality proof for n = 60171084739669153:

Take b = 2.

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

545087 is prime.
b^((n-1)/545087)-1 mod n = 30747592161913599, which is a unit, inverse 30834981757418450.

231503 is prime.
b^((n-1)/231503)-1 mod n = 25738107422552893, which is a unit, inverse 58254498858634255.

(231503 * 545087) divides n-1.

(231503 * 545087)^2 > n.

n is prime by Pocklington's theorem.