Primality proof for n = 6945557:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1736389.html>1736389 is prime.</a>
<br>b^((n-1)/1736389)-1 mod n = 15, which is a unit, inverse 3241260.
<p>(1736389) divides n-1.
<p>(1736389)^2 > n.
<p>n is prime by Pocklington's theorem.