Primality proof for n = 225731161:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1033.html>1033 is prime.</a>
<br>b^((n-1)/1033)-1 mod n = 70346502, which is a unit, inverse 68878706.
<p><a href=607.html>607 is prime.</a>
<br>b^((n-1)/607)-1 mod n = 119963697, which is a unit, inverse 35345078.
<p>(607 * 1033) divides n-1.
<p>(607 * 1033)^2 > n.
<p>n is prime by Pocklington's theorem.