Primality proof for n = 1163:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=83.html>83 is prime.</a>
<br>b^((n-1)/83)-1 mod n = 101, which is a unit, inverse 380.
<p>(83) divides n-1.
<p>(83)^2 > n.
<p>n is prime by Pocklington's theorem.