Primality proof for n = 30406113761:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=208147.html>208147 is prime.</a>
<br>b^((n-1)/208147)-1 mod n = 18750718583, which is a unit, inverse 1677666708.
<p>(208147) divides n-1.
<p>(208147)^2 > n.
<p>n is prime by Pocklington's theorem.