Primality proof for n = 13884229:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1699.html>1699 is prime.</a>
<br>b^((n-1)/1699)-1 mod n = 459948, which is a unit, inverse 7717093.
<p><a href=227.html>227 is prime.</a>
<br>b^((n-1)/227)-1 mod n = 3562654, which is a unit, inverse 2028670.
<p>(227 * 1699) divides n-1.
<p>(227 * 1699)^2 > n.
<p>n is prime by Pocklington's theorem.