Primality proof for n = 60901:
Take b = 2.
b^(n-1) mod n = 1.
29 is prime.
b^((n-1)/29)-1 mod n = 11632, which is a unit, inverse 41482.
7 is prime.
b^((n-1)/7)-1 mod n = 53455, which is a unit, inverse 35636.
5 is prime.
b^((n-1)/5)-1 mod n = 53296, which is a unit, inverse 57906.
(5^2 * 7 * 29) divides n-1.
(5^2 * 7 * 29)^2 > n.
n is prime by Pocklington's theorem.