Primality proof for n = 45467703727:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=78607.html>78607 is prime.</a>
<br>b^((n-1)/78607)-1 mod n = 27286002387, which is a unit, inverse 22127292512.
<p><a href=647.html>647 is prime.</a>
<br>b^((n-1)/647)-1 mod n = 40117416596, which is a unit, inverse 13032450985.
<p>(647 * 78607) divides n-1.
<p>(647 * 78607)^2 > n.
<p>n is prime by Pocklington's theorem.