Primality proof for n = 352173651449:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=5617163.html>5617163 is prime.</a>
<br>b^((n-1)/5617163)-1 mod n = 123769593050, which is a unit, inverse 141072620604.
<p>(5617163) divides n-1.
<p>(5617163)^2 > n.
<p>n is prime by Pocklington's theorem.