Primality proof for n = 47166934095163:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=73965767.html>73965767 is prime.</a>
<br>b^((n-1)/73965767)-1 mod n = 8615364767042, which is a unit, inverse 36714514056155.
<p>(73965767) divides n-1.
<p>(73965767)^2 > n.
<p>n is prime by Pocklington's theorem.