Primality proof for n = 17579:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=47.html>47 is prime.</a>
<br>b^((n-1)/47)-1 mod n = 1087, which is a unit, inverse 1504.
<p><a href=17.html>17 is prime.</a>
<br>b^((n-1)/17)-1 mod n = 13134, which is a unit, inverse 3061.
<p>(17 * 47) divides n-1.
<p>(17 * 47)^2 > n.
<p>n is prime by Pocklington's theorem.