Primality proof for n = 5089297693:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4523.html>4523 is prime.</a>
<br>b^((n-1)/4523)-1 mod n = 2688513124, which is a unit, inverse 1328467536.
<p><a href=2287.html>2287 is prime.</a>
<br>b^((n-1)/2287)-1 mod n = 3911272796, which is a unit, inverse 494659176.
<p>(2287 * 4523) divides n-1.
<p>(2287 * 4523)^2 > n.
<p>n is prime by Pocklington's theorem.