Primality proof for n = 57467:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=487.html>487 is prime.</a>
<br>b^((n-1)/487)-1 mod n = 17138, which is a unit, inverse 56679.
<p>(487) divides n-1.
<p>(487)^2 > n.
<p>n is prime by Pocklington's theorem.