Primality proof for n = 43462789:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=88339.html>88339 is prime.</a>
<br>b^((n-1)/88339)-1 mod n = 42177656, which is a unit, inverse 7707404.
<p>(88339) divides n-1.
<p>(88339)^2 > n.
<p>n is prime by Pocklington's theorem.