Primality proof for n = 52357003:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=8209.html>8209 is prime.</a>
<br>b^((n-1)/8209)-1 mod n = 8929394, which is a unit, inverse 23733973.
<p>(8209) divides n-1.
<p>(8209)^2 > n.
<p>n is prime by Pocklington's theorem.