Primality proof for n = 18473014193:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1751993.html>1751993 is prime.</a>
<br>b^((n-1)/1751993)-1 mod n = 14299252396, which is a unit, inverse 1894176851.
<p>(1751993) divides n-1.
<p>(1751993)^2 > n.
<p>n is prime by Pocklington's theorem.