Primality proof for n = 157427:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=78713.html>78713 is prime.</a>
<br>b^((n-1)/78713)-1 mod n = 3, which is a unit, inverse 52476.
<p>(78713) divides n-1.
<p>(78713)^2 > n.
<p>n is prime by Pocklington's theorem.