Primality proof for n = 9374403413:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=693989.html>693989 is prime.</a>
<br>b^((n-1)/693989)-1 mod n = 8211844134, which is a unit, inverse 6020600718.
<p>(693989) divides n-1.
<p>(693989)^2 > n.
<p>n is prime by Pocklington's theorem.