Primality proof for n = 7623851:
<p>Take b = 3.
<p>b^(n-1) mod n = 1.
<p><a href=317.html>317 is prime.</a>
<br>b^((n-1)/317)-1 mod n = 4204850, which is a unit, inverse 5260915.
<p><a href=37.html>37 is prime.</a>
<br>b^((n-1)/37)-1 mod n = 1648238, which is a unit, inverse 1820223.
<p>(37 * 317) divides n-1.
<p>(37 * 317)^2 > n.
<p>n is prime by Pocklington's theorem.