Primality proof for n = 19467793:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=135193.html>135193 is prime.</a>
<br>b^((n-1)/135193)-1 mod n = 13575425, which is a unit, inverse 11504235.
<p>(135193) divides n-1.
<p>(135193)^2 > n.
<p>n is prime by Pocklington's theorem.