Primality proof for n = 384355469:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=87433.html>87433 is prime.</a>
<br>b^((n-1)/87433)-1 mod n = 215048631, which is a unit, inverse 311775540.
<p>(87433) divides n-1.
<p>(87433)^2 > n.
<p>n is prime by Pocklington's theorem.