Primality proof for n = 41389:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=3449.html>3449 is prime.</a>
<br>b^((n-1)/3449)-1 mod n = 4095, which is a unit, inverse 11785.
<p>(3449) divides n-1.
<p>(3449)^2 > n.
<p>n is prime by Pocklington's theorem.