Primality proof for n = 5617163:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4451.html>4451 is prime.</a>
<br>b^((n-1)/4451)-1 mod n = 4463567, which is a unit, inverse 3990902.
<p>(4451) divides n-1.
<p>(4451)^2 > n.
<p>n is prime by Pocklington's theorem.