Primality proof for n = 1489008455352563922568011402972792902916827:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=29235542524211150858901814862527031.html>29235542524211150858901814862527031 is prime.</a>
<br>b^((n-1)/29235542524211150858901814862527031)-1 mod n = 284307619637232215848069993776908007877380, which is a unit, inverse 825925520823426949806271556717106489996922.
<p>(29235542524211150858901814862527031) divides n-1.
<p>(29235542524211150858901814862527031)^2 > n.
<p>n is prime by Pocklington's theorem.