Primality proof for n = 99436943:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=8263.html>8263 is prime.</a>
<br>b^((n-1)/8263)-1 mod n = 55532628, which is a unit, inverse 89514886.
<p><a href=547.html>547 is prime.</a>
<br>b^((n-1)/547)-1 mod n = 54194229, which is a unit, inverse 90599839.
<p>(547 * 8263) divides n-1.
<p>(547 * 8263)^2 > n.
<p>n is prime by Pocklington's theorem.