Primality proof for n = 2585077427327:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=76031689039.html>76031689039 is prime.</a>
<br>b^((n-1)/76031689039)-1 mod n = 17179869183, which is a unit, inverse 2050746774463.
<p>(76031689039) divides n-1.
<p>(76031689039)^2 > n.
<p>n is prime by Pocklington's theorem.