Primality proof for n = 9347238719917243:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4244885885521.html>4244885885521 is prime.</a>
<br>b^((n-1)/4244885885521)-1 mod n = 221639729211885, which is a unit, inverse 7096897053525091.
<p>(4244885885521) divides n-1.
<p>(4244885885521)^2 > n.
<p>n is prime by Pocklington's theorem.