Primality proof for n = 71693:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=17923.html>17923 is prime.</a>
<br>b^((n-1)/17923)-1 mod n = 15, which is a unit, inverse 62134.
<p>(17923) divides n-1.
<p>(17923)^2 > n.
<p>n is prime by Pocklington's theorem.