Primality proof for n = 173497:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=7229.html>7229 is prime.</a>
<br>b^((n-1)/7229)-1 mod n = 121503, which is a unit, inverse 45972.
<p>(7229) divides n-1.
<p>(7229)^2 > n.
<p>n is prime by Pocklington's theorem.