Primality proof for n = 8574133:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=991.html>991 is prime.</a>
<br>b^((n-1)/991)-1 mod n = 3435728, which is a unit, inverse 1014251.
<p><a href=103.html>103 is prime.</a>
<br>b^((n-1)/103)-1 mod n = 4321356, which is a unit, inverse 3531099.
<p>(103 * 991) divides n-1.
<p>(103 * 991)^2 > n.
<p>n is prime by Pocklington's theorem.