Primality proof for n = 38557:
<p>Take b = 2.
<p>b^(n-1) mod n = 1.
<p><a href=17.html>17 is prime.</a>
<br>b^((n-1)/17)-1 mod n = 19123, which is a unit, inverse 16489.
<p><a href=7.html>7 is prime.</a>
<br>b^((n-1)/7)-1 mod n = 12907, which is a unit, inverse 18103.
<p><a href=3.html>3 is prime.</a>
<br>b^((n-1)/3)-1 mod n = 7606, which is a unit, inverse 10316.
<p>(3^4 * 7 * 17) divides n-1.
<p>(3^4 * 7 * 17)^2 > n.
<p>n is prime by Pocklington's theorem.