Primality proof for n = 6997:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=53.html>53 is prime.</a>
<br>b^((n-1)/53)-1 mod n = 1000, which is a unit, inverse 4667.
<p><a href=11.html>11 is prime.</a>
<br>b^((n-1)/11)-1 mod n = 5165, which is a unit, inverse 3044.
<p>(11 * 53) divides n-1.
<p>(11 * 53)^2 > n.
<p>n is prime by Pocklington's theorem.