Primality proof for n = 150381227:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=14851.html>14851 is prime.</a>
<br>b^((n-1)/14851)-1 mod n = 119394691, which is a unit, inverse 83827290.
<p>(14851) divides n-1.
<p>(14851)^2 > n.
<p>n is prime by Pocklington's theorem.