Primality proof for n = 85984049513:

Take b = 2.

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

10748006189 is prime.
b^((n-1)/10748006189)-1 mod n = 255, which is a unit, inverse 75193894280.

(10748006189) divides n-1.

(10748006189)^2 > n.

n is prime by Pocklington's theorem.