Primality proof for n = 4539345667931:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=453934566793.html>453934566793 is prime.</a>
<br>b^((n-1)/453934566793)-1 mod n = 1023, which is a unit, inverse 3678511787600.
<p>(453934566793) divides n-1.
<p>(453934566793)^2 > n.
<p>n is prime by Pocklington's theorem.