Primality proof for n = 175463:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=151.html>151 is prime.</a>
<br>b^((n-1)/151)-1 mod n = 124290, which is a unit, inverse 94632.
<p><a href=83.html>83 is prime.</a>
<br>b^((n-1)/83)-1 mod n = 15625, which is a unit, inverse 69882.
<p>(83 * 151) divides n-1.
<p>(83 * 151)^2 > n.
<p>n is prime by Pocklington's theorem.