Primality proof for n = 5271793:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=109829.html>109829 is prime.</a>
<br>b^((n-1)/109829)-1 mod n = 4548170, which is a unit, inverse 3793698.
<p>(109829) divides n-1.
<p>(109829)^2 > n.
<p>n is prime by Pocklington's theorem.