Primality proof for n = 56117111:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=19553.html>19553 is prime.</a>
<br>b^((n-1)/19553)-1 mod n = 51359863, which is a unit, inverse 293759.
<p>(19553) divides n-1.
<p>(19553)^2 > n.
<p>n is prime by Pocklington's theorem.