Primality proof for n = 943693:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=4139.html>4139 is prime.</a>
<br>b^((n-1)/4139)-1 mod n = 198186, which is a unit, inverse 239754.
<p>(4139) divides n-1.
<p>(4139)^2 > n.
<p>n is prime by Pocklington's theorem.