Primality proof for n = 83295083:

Take b = 2.

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

3203657 is prime.
b^((n-1)/3203657)-1 mod n = 67108863, which is a unit, inverse 69028830.

(3203657) divides n-1.

(3203657)^2 > n.

n is prime by Pocklington's theorem.