Primality proof for n = 5924666185313169299:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=36423749.html>36423749 is prime.</a>
<br>b^((n-1)/36423749)-1 mod n = 4072408677236125012, which is a unit, inverse 2492376091309737249.
<p><a href=2295569.html>2295569 is prime.</a>
<br>b^((n-1)/2295569)-1 mod n = 4662629966324032767, which is a unit, inverse 2212833590422945032.
<p>(2295569 * 36423749) divides n-1.
<p>(2295569 * 36423749)^2 > n.
<p>n is prime by Pocklington's theorem.