Primality proof for n = 1131014973702835376677:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=39850487891.html>39850487891 is prime.</a>
<br>b^((n-1)/39850487891)-1 mod n = 1028016623892686332003, which is a unit, inverse 381895526614639260191.
<p>(39850487891) divides n-1.
<p>(39850487891)^2 > n.
<p>n is prime by Pocklington's theorem.