Primality proof for n = 45677:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=601.html>601 is prime.</a>
<br>b^((n-1)/601)-1 mod n = 4545, which is a unit, inverse 18311.
<p>(601) divides n-1.
<p>(601)^2 > n.
<p>n is prime by Pocklington's theorem.