Primality proof for n = 17449:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=727.html>727 is prime.</a>
<br>b^((n-1)/727)-1 mod n = 8726, which is a unit, inverse 5817.
<p>(727) divides n-1.
<p>(727)^2 > n.
<p>n is prime by Pocklington's theorem.