Primality proof for n = 361223:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1009.html>1009 is prime.</a>
<br>b^((n-1)/1009)-1 mod n = 344572, which is a unit, inverse 146997.
<p>(1009) divides n-1.
<p>(1009)^2 > n.
<p>n is prime by Pocklington's theorem.