Primality proof for n = 115347420731:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=11534742073.html>11534742073 is prime.</a>
<br>b^((n-1)/11534742073)-1 mod n = 1023, which is a unit, inverse 95164440955.
<p>(11534742073) divides n-1.
<p>(11534742073)^2 > n.
<p>n is prime by Pocklington's theorem.