Primality proof for n = 1814921:
<p>Take b = 3.
<p>b^(n-1) mod n = 1.
<p><a href=157.html>157 is prime.</a>
<br>b^((n-1)/157)-1 mod n = 38064, which is a unit, inverse 1430757.
<p><a href=17.html>17 is prime.</a>
<br>b^((n-1)/17)-1 mod n = 632547, which is a unit, inverse 1585796.
<p>(17^2 * 157) divides n-1.
<p>(17^2 * 157)^2 > n.
<p>n is prime by Pocklington's theorem.