Primality proof for n = 164918227:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=2719.html>2719 is prime.</a>
<br>b^((n-1)/2719)-1 mod n = 62534385, which is a unit, inverse 37979476.
<p><a href=919.html>919 is prime.</a>
<br>b^((n-1)/919)-1 mod n = 131542906, which is a unit, inverse 23919559.
<p>(919 * 2719) divides n-1.
<p>(919 * 2719)^2 > n.
<p>n is prime by Pocklington's theorem.