Primality proof for n = 1033843:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=172307.html>172307 is prime.</a>
<br>b^((n-1)/172307)-1 mod n = 63, which is a unit, inverse 475896.
<p>(172307) divides n-1.
<p>(172307)^2 > n.
<p>n is prime by Pocklington's theorem.