Primality proof for n = 8049101:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=80491.html>80491 is prime.</a>
<br>b^((n-1)/80491)-1 mod n = 5411057, which is a unit, inverse 4483723.
<p>(80491) divides n-1.
<p>(80491)^2 > n.
<p>n is prime by Pocklington's theorem.