Primality proof for n = 1195891:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=39863.html>39863 is prime.</a>
<br>b^((n-1)/39863)-1 mod n = 1027596, which is a unit, inverse 670131.
<p>(39863) divides n-1.
<p>(39863)^2 > n.
<p>n is prime by Pocklington's theorem.