Primality proof for n = 14741173:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=409477.html>409477 is prime.</a>
<br>b^((n-1)/409477)-1 mod n = 10869382, which is a unit, inverse 3061083.
<p>(409477) divides n-1.
<p>(409477)^2 > n.
<p>n is prime by Pocklington's theorem.