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.