Primality proof for n = 4994337311:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=499433731.html>499433731 is prime.</a>
<br>b^((n-1)/499433731)-1 mod n = 1023, which is a unit, inverse 3505312013.
<p>(499433731) divides n-1.
<p>(499433731)^2 > n.
<p>n is prime by Pocklington's theorem.