Primality proof for n = 2270249:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=16693.html>16693 is prime.</a>
<br>b^((n-1)/16693)-1 mod n = 1850821, which is a unit, inverse 694285.
<p>(16693) divides n-1.
<p>(16693)^2 > n.
<p>n is prime by Pocklington's theorem.