Primality proof for n = 8464734851:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=51473.html>51473 is prime.</a>
<br>b^((n-1)/51473)-1 mod n = 624094917, which is a unit, inverse 7839638184.
<p><a href=23.html>23 is prime.</a>
<br>b^((n-1)/23)-1 mod n = 2272219400, which is a unit, inverse 2609314566.
<p>(23 * 51473) divides n-1.
<p>(23 * 51473)^2 > n.
<p>n is prime by Pocklington's theorem.