Primality proof for n = 466717:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=89.html>89 is prime.</a>
<br>b^((n-1)/89)-1 mod n = 7893, which is a unit, inverse 84734.
<p><a href=23.html>23 is prime.</a>
<br>b^((n-1)/23)-1 mod n = 251319, which is a unit, inverse 288052.
<p>(23 * 89) divides n-1.
<p>(23 * 89)^2 > n.
<p>n is prime by Pocklington's theorem.