Primality proof for n = 899437463:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=343559.html>343559 is prime.</a>
<br>b^((n-1)/343559)-1 mod n = 207133870, which is a unit, inverse 283276008.
<p>(343559) divides n-1.
<p>(343559)^2 > n.
<p>n is prime by Pocklington's theorem.