Primality proof for n = 1489008455352563922568011402972792902916827:

Take b = 2.

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

29235542524211150858901814862527031 is prime.
b^((n-1)/29235542524211150858901814862527031)-1 mod n = 284307619637232215848069993776908007877380, which is a unit, inverse 825925520823426949806271556717106489996922.

(29235542524211150858901814862527031) divides n-1.

(29235542524211150858901814862527031)^2 > n.

n is prime by Pocklington's theorem.