Primality proof for n = 14309621:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1171.html>1171 is prime.</a>
<br>b^((n-1)/1171)-1 mod n = 415637, which is a unit, inverse 9772126.
<p><a href=47.html>47 is prime.</a>
<br>b^((n-1)/47)-1 mod n = 11812407, which is a unit, inverse 6915493.
<p>(47 * 1171) divides n-1.
<p>(47 * 1171)^2 > n.
<p>n is prime by Pocklington's theorem.