Primality proof for n = 24004372753289:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=1418023.html>1418023 is prime.</a>
<br>b^((n-1)/1418023)-1 mod n = 1885917427470, which is a unit, inverse 13701827413197.
<p><a href=124471.html>124471 is prime.</a>
<br>b^((n-1)/124471)-1 mod n = 16991633004856, which is a unit, inverse 19954874831253.
<p>(124471 * 1418023) divides n-1.
<p>(124471 * 1418023)^2 > n.
<p>n is prime by Pocklington's theorem.