Primality proof for n = 972113:

Take b = 2.

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

60757 is prime.
b^((n-1)/60757)-1 mod n = 65535, which is a unit, inverse 524631.

(60757) divides n-1.

(60757)^2 > n.

n is prime by Pocklington's theorem.