Primality proof for n = 18127:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=53.html>53 is prime.</a>
<br>b^((n-1)/53)-1 mod n = 7150, which is a unit, inverse 2122.
<p><a href=19.html>19 is prime.</a>
<br>b^((n-1)/19)-1 mod n = 15757, which is a unit, inverse 4918.
<p>(19 * 53) divides n-1.
<p>(19 * 53)^2 > n.
<p>n is prime by Pocklington's theorem.