Primality proof for n = 69697:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11.html>11 is prime.</a>
<br>b^((n-1)/11)-1 mod n = 15828, which is a unit, inverse 32387.
<p><a href=3.html>3 is prime.</a>
<br>b^((n-1)/3)-1 mod n = 2345, which is a unit, inverse 45682.
<p>(3^2 * 11^2) divides n-1.
<p>(3^2 * 11^2)^2 > n.
<p>n is prime by Pocklington's theorem.