Primality proof for n = 15383:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=7691.html>7691 is prime.</a>
<br>b^((n-1)/7691)-1 mod n = 3, which is a unit, inverse 5128.
<p>(7691) divides n-1.
<p>(7691)^2 > n.
<p>n is prime by Pocklington's theorem.