Primality proof for n = 28591973599411:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=163027.html>163027 is prime.</a>
<br>b^((n-1)/163027)-1 mod n = 21373663873814, which is a unit, inverse 15240216829473.
<p><a href=149899.html>149899 is prime.</a>
<br>b^((n-1)/149899)-1 mod n = 13865651680762, which is a unit, inverse 26147953429063.
<p>(149899 * 163027) divides n-1.
<p>(149899 * 163027)^2 > n.
<p>n is prime by Pocklington's theorem.