Primality proof for n = 5829032467:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=13241.html>13241 is prime.</a>
<br>b^((n-1)/13241)-1 mod n = 2471543224, which is a unit, inverse 232479808.
<p><a href=661.html>661 is prime.</a>
<br>b^((n-1)/661)-1 mod n = 5231155264, which is a unit, inverse 5595283223.
<p>(661 * 13241) divides n-1.
<p>(661 * 13241)^2 > n.
<p>n is prime by Pocklington's theorem.