Primality proof for n = 29581:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=29.html>29 is prime.</a>
<br>b^((n-1)/29)-1 mod n = 12013, which is a unit, inverse 4750.
<p><a href=3.html>3 is prime.</a>
<br>b^((n-1)/3)-1 mod n = 1982, which is a unit, inverse 19059.
<p><a href=2.html>2 is prime.</a>
<br>b^((n-1)/2)-1 mod n = 29579, which is a unit, inverse 14790.
<p>(2^2 * 3 * 29) divides n-1.
<p>(2^2 * 3 * 29)^2 > n.
<p>n is prime by Pocklington's theorem.