Primality proof for n = 243259963:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=41413.html>41413 is prime.</a>
<br>b^((n-1)/41413)-1 mod n = 186016206, which is a unit, inverse 231035809.
<p>(41413) divides n-1.
<p>(41413)^2 > n.
<p>n is prime by Pocklington's theorem.