Primality proof for n = 23538849507889:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=152083.html>152083 is prime.</a>
<br>b^((n-1)/152083)-1 mod n = 22146537771771, which is a unit, inverse 12060572001727.
<p><a href=22549.html>22549 is prime.</a>
<br>b^((n-1)/22549)-1 mod n = 464330107827, which is a unit, inverse 13188785725070.
<p>(22549 * 152083) divides n-1.
<p>(22549 * 152083)^2 > n.
<p>n is prime by Pocklington's theorem.