Primality proof for n = 1931539:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=45989.html>45989 is prime.</a>
<br>b^((n-1)/45989)-1 mod n = 1743507, which is a unit, inverse 309271.
<p>(45989) divides n-1.
<p>(45989)^2 > n.
<p>n is prime by Pocklington's theorem.