Primality proof for n = 8463023:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=37447.html>37447 is prime.</a>
<br>b^((n-1)/37447)-1 mod n = 4062265, which is a unit, inverse 6862566.
<p>(37447) divides n-1.
<p>(37447)^2 > n.
<p>n is prime by Pocklington's theorem.