Primality proof for n = 1923133:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3727.html>3727 is prime.</a>
<br>b^((n-1)/3727)-1 mod n = 740011, which is a unit, inverse 1677051.
<p>(3727) divides n-1.
<p>(3727)^2 > n.
<p>n is prime by Pocklington's theorem.