Primality proof for n = 411743:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=229.html>229 is prime.</a>
<br>b^((n-1)/229)-1 mod n = 810, which is a unit, inverse 372602.
<p><a href=31.html>31 is prime.</a>
<br>b^((n-1)/31)-1 mod n = 207456, which is a unit, inverse 366398.
<p>(31 * 229) divides n-1.
<p>(31 * 229)^2 > n.
<p>n is prime by Pocklington's theorem.