Primality proof for n = 40043063:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1657.html>1657 is prime.</a>
<br>b^((n-1)/1657)-1 mod n = 2248942, which is a unit, inverse 15298999.
<p><a href=281.html>281 is prime.</a>
<br>b^((n-1)/281)-1 mod n = 27349189, which is a unit, inverse 35656853.
<p>(281 * 1657) divides n-1.
<p>(281 * 1657)^2 > n.
<p>n is prime by Pocklington's theorem.