Primality proof for n = 11543603:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=43397.html>43397 is prime.</a>
<br>b^((n-1)/43397)-1 mod n = 4644978, which is a unit, inverse 1714135.
<p>(43397) divides n-1.
<p>(43397)^2 > n.
<p>n is prime by Pocklington's theorem.