Primality proof for n = 705320809625867:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=50380057830419.html>50380057830419 is prime.</a>
<br>b^((n-1)/50380057830419)-1 mod n = 16383, which is a unit, inverse 278632501977575.
<p>(50380057830419) divides n-1.
<p>(50380057830419)^2 > n.
<p>n is prime by Pocklington's theorem.