Primality proof for n = 72092088130766173:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=858239144413883.html>858239144413883 is prime.</a>
<br>b^((n-1)/858239144413883)-1 mod n = 70259177123929047, which is a unit, inverse 12217979862934461.
<p>(858239144413883) divides n-1.
<p>(858239144413883)^2 > n.
<p>n is prime by Pocklington's theorem.