Primality proof for n = 6495702541:

Take b = 2.

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

108261709 is prime.
b^((n-1)/108261709)-1 mod n = 1114846649, which is a unit, inverse 892614759.

(108261709) divides n-1.

(108261709)^2 > n.

n is prime by Pocklington's theorem.