Primality proof for n = 7287687546097909:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=39264711677.html>39264711677 is prime.</a>
<br>b^((n-1)/39264711677)-1 mod n = 5627196392667629, which is a unit, inverse 6425899842354159.
<p>(39264711677) divides n-1.
<p>(39264711677)^2 > n.
<p>n is prime by Pocklington's theorem.