Primality proof for n = 61547:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=30773.html>30773 is prime.</a>
<br>b^((n-1)/30773)-1 mod n = 3, which is a unit, inverse 20516.
<p>(30773) divides n-1.
<p>(30773)^2 > n.
<p>n is prime by Pocklington's theorem.