Primality proof for n = 2468656374749233:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=530597.html>530597 is prime.</a>
<br>b^((n-1)/530597)-1 mod n = 2464693106994372, which is a unit, inverse 1462225077895207.
<p><a href=14107.html>14107 is prime.</a>
<br>b^((n-1)/14107)-1 mod n = 1008952981838851, which is a unit, inverse 56946018361549.
<p>(14107 * 530597) divides n-1.
<p>(14107 * 530597)^2 > n.
<p>n is prime by Pocklington's theorem.