Primality proof for n = 3462603391451:
Take b = 2.
b^(n-1) mod n = 1.
119194609 is prime.
b^((n-1)/119194609)-1 mod n = 2860124223111, which is a unit, inverse 3071778908036.
(119194609) divides n-1.
(119194609)^2 > n.
n is prime by Pocklington's theorem.