Primality proof for n = 354936430157:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=13884229.html>13884229 is prime.</a>
<br>b^((n-1)/13884229)-1 mod n = 335217581740, which is a unit, inverse 58292490803.
<p>(13884229) divides n-1.
<p>(13884229)^2 > n.
<p>n is prime by Pocklington's theorem.