Primality proof for n = 19273:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=73.html>73 is prime.</a>
<br>b^((n-1)/73)-1 mod n = 5942, which is a unit, inverse 6633.
<p><a href=11.html>11 is prime.</a>
<br>b^((n-1)/11)-1 mod n = 12360, which is a unit, inverse 16315.
<p>(11 * 73) divides n-1.
<p>(11 * 73)^2 > n.
<p>n is prime by Pocklington's theorem.