Primality proof for n = 249533:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=62383.html>62383 is prime.</a>
<br>b^((n-1)/62383)-1 mod n = 15, which is a unit, inverse 216262.
<p>(62383) divides n-1.
<p>(62383)^2 > n.
<p>n is prime by Pocklington's theorem.