Primality proof for n = 43319:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=179.html>179 is prime.</a>
<br>b^((n-1)/179)-1 mod n = 21049, which is a unit, inverse 1632.
<p><a href=11.html>11 is prime.</a>
<br>b^((n-1)/11)-1 mod n = 35422, which is a unit, inverse 30834.
<p>(11^2 * 179) divides n-1.
<p>(11^2 * 179)^2 > n.
<p>n is prime by Pocklington's theorem.