Primality proof for n = 8025333451:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=473471.html>473471 is prime.</a>
<br>b^((n-1)/473471)-1 mod n = 7547537124, which is a unit, inverse 1664776396.
<p>(473471) divides n-1.
<p>(473471)^2 > n.
<p>n is prime by Pocklington's theorem.