Primality proof for n = 67867:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11311.html>11311 is prime.</a>
<br>b^((n-1)/11311)-1 mod n = 63, which is a unit, inverse 63558.
<p>(11311) divides n-1.
<p>(11311)^2 > n.
<p>n is prime by Pocklington's theorem.