Primality proof for n = 119194609:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2851.html>2851 is prime.</a>
<br>b^((n-1)/2851)-1 mod n = 82961434, which is a unit, inverse 2762533.
<p><a href=67.html>67 is prime.</a>
<br>b^((n-1)/67)-1 mod n = 30977800, which is a unit, inverse 71506111.
<p>(67 * 2851) divides n-1.
<p>(67 * 2851)^2 > n.
<p>n is prime by Pocklington's theorem.