Primality proof for n = 120233:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=113.html>113 is prime.</a>
<br>b^((n-1)/113)-1 mod n = 32911, which is a unit, inverse 118505.
<p><a href=19.html>19 is prime.</a>
<br>b^((n-1)/19)-1 mod n = 76216, which is a unit, inverse 83923.
<p>(19 * 113) divides n-1.
<p>(19 * 113)^2 > n.
<p>n is prime by Pocklington's theorem.